Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	draw_v	line_n	parallel_n	2,614	5	12.5806	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A51553	A tutor to astronomie and geographie, or, An easie and speedy way to know the use of both the globes, coelestial and terrestrial in six books : the first teaching the rudiments of astronomy and geography, the 2. shewing by the globes the solution of astronomical & geographical probl., the 3. shewing by the globes the solution of problems in navigation, the 4. shewing by the globes the solution of astrological problemes, the 5. shewing by the globes the solution of gnomonical problemes, the 6. shewing by the globes the solution of of [sic] spherical triangles : more fully and amply then hath ever been set forth either by Gemma Frisius, Metius, Hues, Wright, Blaew, or any others that have taught the use of the globes : and that so plainly and methodically that the meanest capacity may at first reading apprehend it, and with a little practise grow expert in these divine sciences / by Joseph Moxon ; whereunto is added Antient poetical stories of the stars, shewing reasons why the several shapes and forms are pictured on the coelestial globe, collected from Dr. Hood ; as also a Discourse of the antiquity, progress and augmentation of astronomie.	Moxon, Joseph, 1627-1691.; Hood, Thomas, fl. 1582-1598.	1659 (1659)	Wing M3021; ESTC R23159	189,557	267

that shadow shall be a Meridian li●e Secondly on the backside the Clinatory discribe a Circle and draw a line through the Center to both sides the Circumference cross this line with an other line at R●ght Angles in the Center so shall the Circle be divided into four equal parts These four parts you must ma●k with East West North South and divide each of them into 90. degrees In the Center of this Plain erect a straight wyer prependicularly when you would find a Meridian line examine by the tenth Prob. of the second Book the Amplitude of the Suns Rising or Setting from the East or West points and waiting the just Rising or Setting that Day turn the Instrument about till the shadow of the wyer falls upon the same degree from the East or West the Amplitude is of for then the North and South line in the Instrument will be the same with the North and South line in Heaven Thirdly by the Suns Azimuth Find the Azimuth of the Sun by Prob. 22. of the second Book and at the same instant turn the Instrument till the shadow of the wyer fall upon the degree on the Instrument opposite to the degree of the Suns Azimuth so shall the Meridional line of the Instrument agree with the Meridional line in Heaven You may the same way work by the Azimuth of any Star Only whereas the shadow of the wyer should fall upon the opposite degree aforesaid Now you must place a Sight or Perpendicular upon that opposite degree and turn the Instrument about till the wyer at the Center the Sight in the opposite degree of the Stars Azimuth and the Star in Heaven come into one straight line so shall the Meridian line of the Instrument agree with the Meridional line in Heaven Fourthly It may be found by any Star observed in the Meridian if two Perpendiculars be erected in the Meridian line of your Instrument for then by turning the Instrument till the two Perpendiculars and the Star come into a straight line the Meridian line of your Instrument will be the same with the Meridian line in Heaven See more waies in Mr. Palmer on the Planisphear Book 4. Chap. 9 If your Plain either Recline or Incline apply one of the sides of your Clinatory Parallel to one of the Semi-diameters of the Quadrant to the Plain in such sort that the Plumb-line hanging at liberty may fall upon the Circumference of the Quadrant for then the number of degrees of the Quadrant comprehended between the side of the Quadrant Parallel to the Plain and the Plumb-line shall be the number of degrees of Reclination if th● Center of the Quadrant points upwards or Inclination if th● Center points downwards If your Reclining or Inclining Plain Decline draw upon it a line Parallel to the Horizon which you may do by applying the back-side of the Clinatory and raising or depressing the Center of the Quadrant till the Plumb-line hang just upon one of the Semi-diameters for then you may by the upper side of the Clinatory draw an Horizontal line if the Plain Incline or by the under side if it Recline If it neither Incline or Recline you may draw● an Horizontal line both by the upper and under sides of the Clinatory Having drawn the Horizontal line apply the North 〈◊〉 ● of the Clinatory to it and if the North end of the Needle 〈◊〉 directly towards the Plain it is then a South Plain If the 〈◊〉 point of the Needle points directly from the Plain it is a Nor●● plain but if it points towards the East it is an East Plain if towards the West a West Plain If it do not point directly 〈◊〉 East West North or South then so many degrees as the 〈◊〉 declines from any of these four points to any of the other of 〈◊〉 four points so many degrees is the Declination of the Plain 〈◊〉 respect as aforesaid had to the Variation of the Compass Or if you find the Azimuth of the Sun by its Altitude observed just when its beams are coming on or going off you● Plain that Azimuth shall be the Azimuth of your Plain Or you may erect a wyer Perpendicularly on your Plain and wait till the shadow of that wyer comes to be Perpendicular with the Horizon which you may examine by applying a Plumb-line to it for then the shadow of the Plumb-line and the shadow of the Perpendicular will be in one then taking the Altitude of the Sun you may by Prob. 22. of the second Book find its Azimuth and thereby know in what Azimuth the Plain of your Dyal lies for the Azimuth your Plain lies in is distant from the Azimuth of the Sun just 90. degrees PROB. I. How by one position of the Globe to find the distances of the Hour-lines on all manner of Plains YOu may have Meridian lines drawn from Pole to Pole through every 15. degrees of the Equinoctial to represent the Horary motion of the Sun both Day and Night and when the Pole of the Globe is Elevated to the height of the Pole in any Place and one of these Meridian lines be brought to the Brazen Meridian all the rest of the Meridian lines shall cut any Circle which you intend shall represent the Plain of a Dyal in the number of degrees on the same Circle that each respective Hour-line is distant from the Noon-line point in the same Circle Thus if you should enquire the distance of the Hour-lines upon an Horizontal Plain in Londons Latitude The Pole of the Globe as aforesaid must be Elevated 51½ degrees and one of the Meridian lines you may chuse the Vernal Colure be brought to the Brazen Meridian which being done you are only to examine in the Horizon Because it is an Horizontal Plain at what distance from the Meridian which in Horizontals is the Noon-line the several Meridians drawn on the Globe intersect the Horizon for that distance in degrees shall be the distance on a Circle divided into 360. degrees that each respective Hour-line must have from the Meridian or a Noon line chosen in the same Circle and lines drawn from the Center of that Circle through those degrees shall be the Hour lines of an Horizontal Plain If your Plain be not Direct but declines East or West 〈◊〉 must number the Declination Eastwards or Westwards re●pectively in the degrees of the Horizon and the Quadrant 〈◊〉 Altitude screwed to the Zenith as aforesaid bring the lower end of the Quadrant of Altitude to the said degrees of Declination and the number of degrees cut by the Meridians in the Quadrant of Altitude numbred downwards is the number of degrees that the hour-Hour-lines are distant from the Noon line in a Circle of 360 degrees And lines drawn from the Center of that Circle through those degrees be the Hour lines of half the Day And if you turn about the Quadrant of Altitude upon the Zenith point till the lower end of it come to the degree of the Horizon

Contingence elevated to the Height of the Equinoctial draw line from the Center through every 15 degrees of the Circle of Position and by continuing them intersect the line of Conti●gence in the points from whence the Hour lines of an East or West Dyal is to be drawn Example But because in our Latitude the Sun Rises before 4. in the Morning therefore two Hour-lines are yet wanting viz. 5 and 4 which I may find either by applying the thred first to 15 and next to 30 degrees from 0 towards g in the Semi-Circle and so marking where it cuts the Contingent line as before Or else by transfering the distance of the same number of Hour lines from the 6 a clock line already drawn on the side e 〈◊〉 to the side e g as in Prob. 2. of this Book is more fully shewed Having thus marked out on the Contingent line the distances of each Hour I draw a line Parallel to the Contingent line and draw lines from every Hour markt on the Contingent to cross the Contingent line at Right Angles and continue each line to the line Parallel to the Contingent and these lines shall be the Hour lines of an East Plane To these Hour-lines I set Figures as in the Scheam may be seen The Style D K of this Dyal as well as of others must stand Parallel to the Axis of the World it must be also Parallel to all the Hour lines and stand directly over the 6 a clock line and that so high as is the distance between the Center of the Semi-Circle of Position and the point where the 6 a clock line cuts the Contingent line Or which is all one at such a height as when it is laid flat down upon the Plane it may just reach the 3 a clock line PROB. VII To make an Erect Direct West Dyal AN Erect Direct West Dyal is the same in all respects with an Erect Direct East Dyal Only as the East shews the Fore-noon Hours the West shews the After-noon Hours Thus if you should draw the East Dyal on any transparent Plane as on Glass Horn or an Oyled Paper on the one side will appear an East Dyal and on the other a West Only the Figures as was said before must be changed for that which in the East Dyal is 11 in the West must be 1 that which in the East Dyal is 10 in the West must be 2 that which in the East Dyal is 9 in the West must be 3. c. PROB. VIII To make a Polar Dyal POlar Dyals are Horizontal Dyals under the Equinoctial They are of the same kind with East and West Dyals Only whereas East and West Dyals have but the Hour lines of half the longest Day discribed on them these have all the Hour lines of the whole Day and are marked on both sides the Noon line as in the following Figure The Style of this Dyal must stand over the Noon line Parallel to the Plane for then it will also be Parallel to the Axis of the World and its height above the Plane must be the distance between the Center i of the Semi-Circle and the point in the Contingent line cut by the Noon-line But I have inserted the Figure which alone is sufficient Instructions PROB. IX To make Erect South Dyals Declining Eastwards or Westwards DRaw on your Plane an Horizontal line and on it discribe a Semi-Circle as you were taught in Prob 4. Then Rectifie the Globe Quadrant of Altitude Colure and Hour Index as by the same Probleme and bring the lower end of the Quadrant of Altitude to the degree of Declination from the East or West point according is your Declination is Eastwards or Westwards for then the Quadrant of Altitude shall represent a Plane declining from the South E●stwards or Westwards accordingly Then tu●n the Globe Eastwards till the Index of the Hour-Circle points to all the Hours before Noon and examine in what number of degrees from the Zenith the Colure cuts the Q●●drant of Altitude when the Index points to each Hour For a line drawn from the Center A through the same number of degrees reckoned from the Perpendicular A B which is the 12 a clock line towards Con the Plane shall be the same Hour-lines the Index points at Example I would make an Erect Dyal declining from the South towards the East 27. degrees The Globe Quadrant of Altitude Vernal Colure and Hour Index Rectified as before I bring the lower end of the Quadrant of Altitude to 27. degrees counted from the East point of the Horizon towards the North Then I turn the Globe East-wards till the Index points to 11 a clock or till 15. deg of the Equator pass through the Meridian and find the Colure cut the Quadrant of Altitude in 9.43 counted from the Zenith 10 19.0 9 25.57 8 35.10 7 45.56 6 60.15 5 79.45 And these are the distances of the Fore-noon Hour-lines which I seek in the West side of the Plane viz. from B towards C and through these distances I draw lines from the Center and these lines shall be the Fore-noon Hour-lines Now herein is a difference between Declining Dyals and Direct Dyals For having found the distances of the Hour lines for one half of the Day be it either for Before Noon or After Noon in a Direct Dyal you have also found the distances for the other half Day because as was said Prob. 3. Equal number of Hours have equal distance from the Noon line But in Declining Dyals it is not so Because the Sun remaining longer upon that side of the Plane which it declines to then it doth upon the contrary side there will be a greater number of Hour lines upon it and by consequence the distance of the Hour lines less then on the contrary side of the Plane Therefore for finding the After Noon Hour lines I turn about the Quadrant of Altitude upon the Zenith point till the lower end of it come to the degree of the Horizon opposite to that degree of Declination that the Quadrant of Altitude was placed at when I sought the Fore Noon Hour lines viz to 27. degrees counted ●om the West towards the South and bring the Ver●al Colure again to the Meridian and the Index as before to 12. Then turning the Globe Westwards till the Index poin●s to 1 a clock or till 15 degr of the Equator pass through the Meridian I find the Colure cut the Quadrant of Altitude in 11.20 counted from the Zenith 2 26.47 3 49.20 4 75.52 And these are the distances of the After Noon Hour lines which dista●●●● I seek in the East side of the Plane viz. from B towards D as before and so drawing lines from the Center A through these distances I have all the Afternoon Hour lines also drawn on my Plane You may note that this Plane is capable to receive no more Hour lines After Noon then 4. for when the Colure goes off the Quadrant of Altitude the Sun goes

Westwards Having thus found out where this Plane becomes Horizontal make your Dyal to this Plane as by the second Rule in this Probleme Find also the Style as is there directed 5. If your Plane be a Declining Incliner The Globe and Quadrant of Altitude Rectified Bring the Colure to the Meridian and the Quadrant of Altitude to the degree of the Horizon opposite to the degree of the Planes Declination and count upwards on the Quadrant of Altitude the degrees of Inclination and make a 〈◊〉 there For in the 〈◊〉 of that prick found as by 〈◊〉 〈◊〉 of the Second Book that Declining In 〈◊〉 shall become an Horizontal Plane Then find the Latitude and difference of Longitude of this 〈◊〉 by the 〈◊〉 〈◊〉 and make a ●yal to that 〈◊〉 by the second 〈◊〉 in this Probleme Find also the Style as therein is directed PROB. XV. To make a Dyal on the Ceeling of a Room where the Direct Beams of the Sun never come FInd some convenient place in the Transum of a Window to place a smal round peece of Looking-Glass about the bigness of a Groat or less so as it may ly exactly Horizontal The point in the middle of this Glass we will marke A and for distinctions sake with Mr Palmer call it Nodus Through this Nodus you must draw a Meridian line on the Floor Thus Hang a Plumb line in the Window exactly over Nodus and the shadow that that Plumb line casts on the Floor just at Noon will be a Meridian line Or you may find a Meridian line otherwise as by the Preface Having drawn the Meridian line on the Floor find a Meridian line on the Ceeling thus Ho●d a Plumb line to the Ceeling over that end of the Meridian line next the Window If the Plumbet hang not exactly on the Meridian line on the Floor remove your hand on the Ceeling one way or other as you see cause till it do hang quietly just over it and at the point where the Plumb line touches the Ceeling make a mark as at B that mark B shall be directly over the Meridian line on the Floor then remove your Plumb line to the other end of the Meridian line on the Floor and find a point on the Ceeling directly over it as you did the former point as at C and through those two points B and C on the Ceeling strain and strike a line blackt with Smal Cole or any other Culler as Carpenters do and that line B C on the Ceeling shall be a Meridian line as well as that on the Floor Then examine the Altitude of the Equinoctial as by Prob. 6. of the Second Book you did the Meridian Altitude of the Sun and fasten a string just on the Nodus and remove that string in the Meridian line on the Ceeling till it have the same Elevation in a Quadrant that the Equinoctial hath in your Habitation and through the point where the string touches the Meridian line in the Ceeling shall a line be drawn at right Angles with the Meridian to represent the Equinoctial line Thus in our Latitude the Elevation of the Equator being 38½ degrees I remove the string fastned to the Nodus forwards or backwards in the Meridian line of the Ceeling till the Plumb line of a Quadrant when one of the sides are applyed to the string falls upon 38½ degrees and then I find it touch the Meridian line at D in the Ceeling therefore at D I make a mark and through this mark strike the line D E as before I did the Meridian line to cut the Meridian line at Right Angles This line shall be the Equinoctial line Then I place the Center of the Semi-Circle of Position upon Nodus and under-prop it so that the flat side of it may ly Parallel to the string when it is strained between the Nodus and the Equinoctial and also so as the string may ly on the division of the Semi-Circle marked o when it is help up to the Meridian line in the Ceeling Then removing the string the space of 15. degrees in the Circle of Position to the Eastwards and extending it to the Equator on the Ceeling where the string touches the Equator there shall be a point through which the 1 a clock Hour-line shall be drawn and Removing the string yet 15. degrees further to the Eastwards in the Semi-Circle of Position and extending it also to the Equator where it touches the Equator there shall be a point through which the 2 a clock Hour-line shall be drawn Removing the string yet 15. degrees further to the Eastwards in the Semi-Circle of Position and extending it to the Equator there shall be a point through which the 3 a clock Hour-line shall be drawn The like for all the other After-Noon Hour lines so oft as the string is removed through 15. degrees on the Semi-Circle of Position so oft shall it point out the After-Noon distances in the Meridian line on the Ceeling The scituation of the Semi-Circle of Position cannot conveniently be shewn in this Figure unless it be drawn by the Rules of Perspective Neither if it were would it suit with the other demonstrations expect they were drawn by the same Rules also which to do would be hard for young Learners to understand Therefore I have left out the Semi-Circle of Position in this Figure and refer you for a demonstration thereof to the sixth Probleme For even as the lines drawn through every 15 degrees of the Semi-Circle there denote in a Contingent line the distance of any Hour line from the Meridian line even so a line drawn through every 15. degrees of the Semi-Circle of Position posited as aforesaid point out in the Equinoctial line on the Ceeling the distance of each respective Hour line from the Meridian line Having thus found out the points in the Equator through which the After-Noon Hour-lines are to be drawn I may find the Fore-Noon Hour distances also the same way viz. by bringing the string to the several 15. degrees on the West side the Semi-Circle of Position or else I need only measure the distances of each Hour distance found in the Equator from the Meridian line on the Ceeling for the same number of Hours from 12 have the same distance in the Equinoctial line on the other side the Meridian both Before and Afternoon The 11 a clock Hour distance is the same from the Meridian line with the 1 a clock distance on the other side the Meridian the 10 a clock distance the same with the 2 a clock distance the 9 with the 3 c. And thus the distances of all the Hour lines are found out on the Equator Thus upon the point markt for each Hour distance in the Equinoctial line on the Ceeling I discribe the Arches I II III IIII as in the Figure and finding the distance from the Meridian of the Hour-lines of an Horizontal Dyal to be according to the third Probleme

in the Zenith and bring the first point of ♈ to the Meridian Then count on the Quadrant of Altitude to the Degree of the Suns Declination and bring that degree to the Equinoctial and the degree of the Equinoctial cut by that degree of the Quadrant of Altitude is the degree of the Poles Elevation Example The Suns Amplitude is 33. degrees 20. minutes his Declination is 20 degrees 5 minutes his Complement of Amplitude to 90. is 56 degrees 7 minutes Therefore I Elevate the Pole 56. degrees 7 minutes above the Horizon and screw the Quadrant of Altitude to 56 degrees 7 minutes which is in the Zenith Then I bring the first point of ♈ to the Meridian and number on the Quadrant of Altitude upwards 20. deg 5 min. for the Suns Declination this 20 th degree 5 minutes I bring to the Equinoctial and find it cut there 51 ½ degrees for the Heigth of the Pole PROB. III. The Suns Declination and Hour at East given to find the Heigth of the Pole ELevate the Pole so many degrees as the Suns Declination is and screw the Quadrant of Altitude in the Zenith Then convert the Hours or minutes past 6. given into degrees by allowing 15 degrees for every Hour of Time and for every minute of Time 15 minutes of a Degree and number those degrees or minutes in the Horizon from the East Southwards so shall the Degree of the Quadrant of Altitude cut by the Equator be the Complement of the heigth of the Pole Example The Suns Declination is 20 deg 5 min. Therefore I Elevate the Pole 20 degrees 5 minutes and also screw the Quadrant of Altitude to ●0 degrees 5 minutes which is in the Zenith the Hour the Sun comes to be at East is 8 a clock 53 minutes that is 1 Hour 7 minutes after 6. Therefore I convert 1 Hour 7 minutes into Degrees as before and it gives 16 degrees 50 minutes which number of degrees and minutes I count from the East point Southwards and thither I bring the Quadrant of Altitude Then I look in what degree of the Quadrant of Altitude the Equator cuts and find 38 ½ which is the Complement of the Poles Heigth viz. 51 ½ degrees for the Heigth of the Pole In this Probleme the Declination of the Sun and Elevation of the Pole bears the same Denomination of either North or South for when the Declination and the Elevation are different the Sun cannot come to the East point PROB. IIII. The Declination of the Sun and his Altitude at East given to find the Heigth of the Pole ELevate the Pole to the Complement of the Suns Altitude and screw the Quadrant of Altitude to the Zenith Then bring the Equinoctial point ♈ to the Meridian and number on the Quadrant of Altitude the degrees of the Suns Declination and bring that degree to the Equinoctial and note the degree it cuts for its Complement to 90 is the Heigth of the Pole Example May 10. The Suns Declination is 20 degrees 5 minutes His Altitude at East is 25 degrees 55 minutes here at London I enquire the Heigth of the Pole Therefore I substract 20. 5 min. from ●0 the remains is 69 deg 55 min. for its Complement wherefore I bring 69 deg 55 min. of the Meridian to the Horizon and to 69 deg 55 min. which is in the Zenith I screw the Quadrant of Altitude then I bring ♈ to the Meridian and count on the Quadran of Altitude upwards 20 deg 5 min and move it about the Equinoctial till those 20 deg 5 min. touch the Equinoctial which I find to be in 38 ½ degrees Therefore I substract those 38 ½ from 90 and the remains is 51 ½ degrees Therefore I say the Pole here at London is Elevated 51 ½ degrees The Declination and the Elevation is alwaies the same either North or South for when they alter their Denomina ions the Sun at East can have no Altitude neither can it indeed reach the East point and therefore in this example because the Declination of the Sun is North it is the North Pole that is Elevated here at London To perform the same otherwise with a pair of Compasses Take off with your Compasses from the Equator or Quadrant of Altitude the number of degrees of Altitude observed and place one foot at the beginning of ♈ on the inner edge of the Horizon and extend the other directly upwards towards the Zenith Then move the Brazen Meridian through the notches of the Horizon till the other point of your Compasses respecting the Zenith reach the Parallel of the Suns Declination So shall the number of degrees on the Meridian be the number of degrees that the Pole is Elevated above the Horizon and is either North or South according as the Suns Declination is as before This may yet otherwise be performed with the Quadrant of Altitude by taking the Nut off the Meridian and laying the edge of its Index specified in Chap. 1. Sect. 6. of the first Book exactly on the East line of the Horizon for when that lies straight between the point of East on the outer Verge of the Horizon and the beginning of ♈ in the inner Verge of the Horizon then shall the upper end of the Quadrant of Altitude point directly to the Zenith and if then you turn the Meridian through the notches of the Horizon till the Suns Altitude on the Quadrant of Altitude cut the Parallel of Declination you will have on the Meridian the heigth of the Pole as before PROB. V. By the Suns Declination and Azimuth at 6. of the Clock given to find the Heigth of the Pole and Almicantar at 6. ELevate the Pole so many degrees as the Suns Azimuth is at 6. and screw the Quadrant of Altitude in the Zenith and bring the first point of ♈ to the Meridian Then number on the Quadrant of Altitude upwards the Complement of the Suns Declination and bring that degree to the Equator So shall the degree of the Horizon cut by the Quadrant of Altitude be the Complement of the Poles Elevation and the degree of the Equator cut by the Quadrant of Altitude shall be the Almicantar of the Sun at 6. of the clock Example The Suns Azimuth at 6 is 12¾ degrees Therefore I Elevate the Pole 12¾ and screw the Quadrant of Altitude to 12¾ degrees which is in the Zenith Then I bring the first point of ♈ to the Meridian The Suns Declination is 20 degrees 5 minutes Therefore I number on the Quadrant of Altitude 69 deg 55 min. which is the Complement of 20 deg 5 min. to 90. this 69 deg 55 min. on the Quadrant of Altitude I bring to cut the Equator and find when 69 deg 55 min cuts the Equator that the Quadrant of Altitude cuts the Horizon in 38½ deg which is the Complement of the Poles Elevation and at the same time the Quadrant of Altitude also cuts the Equator in 15½ degrees which is the

Calysto and they tell the tale on this manner Calysto a Nimph of singular beauty daughter to Lycaon King of Arcadia induced by the great desire she had of hunting became a follower of the Goddess Diana After this Jupiter being enamored with her beauty and out of hope by reason of her profession to win her love in his own person counterfeited the shape of Diana lay with Calysto and got her with child of whom was born a son which was called Arcas Diana or rather Juno being very much offended here-with turned Calisto into a Bear Arcas her son at the Age of fifteen hunting in the woods by chance lighted upon his mother in the shape of a Bear who knowing her son Arcas stood stil that he might come near unto her and not be afraid but he fearing the shape of so cruel a Beast bent his bow of purpose to have slain her Whereupon Jupiter to prevent the mischief translated them both into Heaven and of them made two several Constellations unto the lesser Bear there belongs but one star unformed 2. URSA MAIOR the Greater Bear called also of the Greeks Arctos and Helice consisteth of 27. stars Among the which those seven that are in the hinder part and tail of the Bear are most observed the Latines call them Pla●strum and of our men they are called Charles Wayn because the stars do stand in such sort that the three which are in the tail resemble the Horses and the other four which are in the flank of the Bear stand after a manner like the Wheels of a Waggon or Chariot and they are suposed by some to be greater then the Sun The reason of the Translation of this Constellation into the Heaven is at large set down in the other Constellation and therefore needs not here to be repeated This Constellation was first invented by Nauplius the Father of Palamedes the Greek and in great use among the Grecians and this is to be noted both in this and the former Constellation that they never set under the Horizon in any part of Europe which though it fall out by reason of their scituation in the Heavens yet the Poets say that it came to pass through the displeasure and hatred of Juno who for that she was by Calisto made a Cuckquean and they notwithstanding as she took it in dispight of her were translated into Heaven requested her brother Neptune that he should never suffer those Stars to set within his Kingdom To which request Neptune condiscended so that in all Europe they never come neer unto the Sea or touch the Horizon If any one marvel that seeing she hath the form of a Bear she should have a tail so long Imagine that Jupiter fearing to come too nigh unto her teeth laid hold on her tail and thereby drew her up into heaven so that she of her selfe being very weighty and the distance from the Earth to the Heaven very great there was great likelyhood that her tail must stretch The unformed stars belonging to this Constellation are eight 3 DRACO the Dragon of some named the Serpent of others the Snake by the Arabians Aben and by Junctinus Florentinus Vrago because he windeth his tail round about the Ecliptick Pole it containeth 31. stars This was the Dragon that kept the Golden Apples in the Orchard of the Hesperides now thought to be the Islands of Cape de Virde and for his diligence and watchfulness was afterwards translated into heaven Yet others say that he came into Heaven by this occasion when Minerva withstood the Gyants fighting against the Gods they to terrifie her threw at her a mighty Dragon but she catching him in her hands threw him presently up into Heaven and placed him there as a memorial of that her resistance Others would have it to be the Serpent Python whom Apollo slew after the Deluge 4. CEPHUS containeth in him 11. stars and hath two unformed This was a King of the Aethiopians and Husband unto Cassiopeia and father of Andromeda whom Perseus married He was taken up into Heaven with his wife and daughter for the good deeds of Perseus his son in law that he and his whole stock might be had in remembrance for ever The Star which is in his right shoulder is called by the Arabians Alderahiemin i. e. his right Arm. 5 BOOTES the driver of the Oxen for so I suppose the name to signifie rather then an Herdsman for he hath not his name because he hath the care of any Cattle but only because he is supposed to drive Charles his Wain which is drawn by 3. Oxen he is also called Arctophilax the keeper of the Bear as though the care of her were committed to him This Constellation consisteth of 22 Stars Some will have Bootes to be Areas the Son of her who before was turned into the Great Bear and they tell the Tale thus Ly●aon the Father of Calisto receiving Jupiter into his house as a guest took Arcas his daughters son and cut him in pieces and among other Services set him before Jupiter to be eaten for by this means he thought to prove if his guest were a God as he pretended to be Jupiter perceiving this heinous fact overthrew the table fired the house with lightning and turned Lycaon into a wolf but gathering and setting together again the limbs of the child he commited him to a Nymph of Aetolia to be kept Arcas afterwards coming to mans estate and hunting in the woods lighted at un-awares upon his mother transformed by Juno into the shape of a bear whom he persued into the Temple of Jupiter Lycaeus whereunto by the law of the Arcadians it was death for any man to come For as much therefore as they must of likelyhood be both slain Calysto by her son and he by the Law Jupiter to avoid this mischeif of meer pitty took them both up into heaven Unto this Constellation belongeth but one star unformed and it is between the legs of Bootes and by the Grecians it is called Arcturus because of all the stars neer the great Bear named Arctos this star is first seen neer her tail in the evening The Poetical invention is thus Icarus the father of Erigone having received of the God Bacchus a Flagon of wine to declare how good it was for mortal men travelled therewith into the Territories of Athens and there began to carouse with certain shepheards they being greatly delighted with the pleasantness of the wine being a new kind of liquor began to draw so hard at it that ere they left off they were past one and thirty and in the end were fain to lay their heads to rest But coming unto themselves again and finding their brains scarce in good temper they killed Icarus thinking indeed that he had either poysoned them or at the least-wise made their brains introxicate Erigone was ready to die for grief and so was Mera her little dog But Jupiter to allay their grief placed her father in

be Ericthonious King of Athens the son of Vulcane who having most deformed feet devised first the use of the Wagon or Chariot and joyned horses together to draw the same to the end that he sitting therein might the better conceal his deformities For which invention Jupiter translated him into the Heavens In this Constellation there are two other particular Constellations to be noted whereof the one consisteth but of one Star alone which is in the left shoulder of Auriga and is called Hircus or Capra the Goat the Arabians call it Alhaioth The other consisteth of two little Stars a little beneath the other standing as it were in the hand of Auriga this Constellation is ●called Haedi the Kids The tale is thus Saturn as you heard before had received of the Oracle that one of his sons should put him out of his Kingdom whereupon he determined to devoure them all Ops by stealth conveyed away Jupiter and sent him to Melissus King of Crete to be nourished Melissus having two daughters Amalthaea and Melissa committed Jupiter unto their Nursery Amalthaea had a Goat that gave suck unto two Kids so that by the milk of this Goat she nourished Jupiter very well To requite this her care and courtesie Jupiter after he had put his Father out his Kingdom translated her Goat and her two Kids into Heaven and in remembrance of the Nurse the Goat is called Capra Amalthaea Novidius saith that when Christ was born and his birth made manifest by the Angels unto the Shepherds one of them brought with him for a Present a Goat and two young Kids which in token of his good will were placed in Heaven 13. OPHIUCHUS or SERPENTARIUS That is the Serpent-bearer This Constellation hath no proper name but is thus entituled because he holdeth a Serpent in his hands It containeth 24. Stars Some say that it is Hercules and report the tale on this manner Juno being a great enemy to Hercules sent two snakes to kill him as he lay sleeping in his Cradle but Hercules being a lusty Child for Jupiter had spent two daies in begetting him without much ado strangled them both In memorial of so strange an event Jupiter placed him in the Heavens with a Serpent in his hands 14. SERPENS the Serpent of Ophiuchus which consisteth of 18. Stars Some say that it is one of the Serpents that should have slain Hercules in his Cradle Novidius saith it is the Viper that bit Paul by the hand Others deliver the tale in these words Glaucus the son of Minos King of Crete was by misfortune drowned in a Barrel of Honey Minos his father craved the help of Aesculaptus the Physitian and that he might be driven per force to help the child he shut him up in a secret place together with the dead carcass whiles Aesculapius stood in a great maze with himself what were best to be done upon a sudden there came a Serpent creeping towards him the which Serpent he slew with the staff which he had in his hand After this there came another Serpent in bringing in his mouth a certain herb which he laid upon the head of the dead Serpent whereby he restored him unto life again Aesculapius using the same her● wrought the same effect upon Glaucus Whereupon after that Aesculapius whom some affirm to be Ophiuchus was placed in the Heaven and the Serpent with him 15. SAGITTA or Telum the Arrow or Dart. This was that Arrow wherewith Hercules slew the Eagle or Grype that fed upon the Liver of Promotheus being tyed with chains to the top of the mount Caucasus and in memorial of that deed was translated into Heaven Others will have it to be one of those Arrows which Hercules at his death gave unto Phyloctetes upon which the Destiny of Troy did depend The whole Constellation containeth five Stars 16. AquILA the Eagle which is called Vultur Volans the flying Grype It hath in it 9. Stars The Poetical reason of this Constellation is this Jupiter transforming himself into the form of an Eagle took Ganimides the Trojan Boy whom he greatly loved up into Heaven and therefore in signe thereof because by that means he performed his purpose he placed the figure of the Eagle in the Heaven There belong unto this Constellation 6. Stars before time unformed but now brought into the Constellation of Antinous But whereupon that name should come I know not except it were that some man devised it there to curry favour with the Emperour Adrian who loved one Antinous Bithynicus so well that he builded a Temple in his honour at Mantinea 17. DELPHINUS the Dolphin It containeth 10. Stars yet Ovid in his second Book de Fastis saith that it hath but nine Neither did the ancient Astronomers attribute unto it any more according to the number of the Muses because of all other Fishes the Dolphin is said to be delighted with Musick The tale goeth thus concerning this Constellation When Neptune the God of the Sea greatly desired to match with Amphitrite she being very modest and shame-faced hid her self whereupon he sent many messengers to seek her out among whom the Dolphin by his good hap did first find her and perswaded her also to match with Neptune For which his good and trusty service Neptune placed him in the Heaven Others say that when Bacchus had transformed the Mariners that would have betrayed him into Dolphins he placed one of them in Heaven that it might be a lesson for others to take heed how they carried any one out of his way contrary both to his desire and their own promise Novidius referreth this Constellation unto the Fish which saved Jonas from drowning 18. EQUICULUS is the little Horse and it consisteth of 4. Stars This Costellation is named almost of no Writer saving Ptolomeus and Alphonsus who followeth Ptolomy and therefore no certain tale or History is delivered thereof by what means it came into Heaven 19. EquuS ALATHS the Winged Horse or Pegasus it containeth 20. Stars This Horse was bred of the blood of Medusa after that Perseus had cut off her head and was afterwards taken and tamed by Bellerophon whiles he drank of the River Piren● by Corinth and was used by him in the conquest of Chimera After which exploit Bellerophon being weary of the earthly affaires endevoured to fly up into Heaven But being amazed in his flight by looking down to the earth he fell from his horse Pegasus notwithstanding continuing his course as they feigne entred into Heaven and there obtained a place among the other Constellations 20. ANDROMEDA She consisteth of 23. Stars but one of them is common both unto her and Pegasus This was the daughter of Cepheus and Cassiopeia and the Wife of Perseus the reason why Minerva or Jupiter placed her in the Heavens is before expressed Novidius referreth this Constellation unto Alexandria the Virgin whom S. George through the good help of his horse delivered from the Dragon 21. TRIANGULUM the

opposite to the degree of Declination found before the Meridian lines on the Globe as before shall cut the Quadrant of Altitude in the number of degrees counted downward that each Hour-line is distant from the other side the Noon-line And lines drawn from the Center of that Circle through those degrees shall be the Hour-lines of the other half of the Day If your Plane Decline and also Recline or Incline you must use the Gnomonical Semi-Circle discribed in Prob. 12 which must be Elevated on the Quadrant of Altitude when it is set to the Declination as by the former Rule according to the complement of Reclination or Inclination But if your Plane be Direct and Recline or Incline it must be set to the Meridian and the Meridians on the Globe shall cut that Semi Circle in the number of degrees counted from the Quadrant of Altitude if the Plane Declines or from the Brasen Meridian if it be Direct that the several Hour lines are distant from a line Perpendicular to an Horizontal line in a Circle divided into 360 degrees And lines drawn from the Center through those degrees shall be the Hour-lines of such Reclining or Inclining Planes The moving this thred from wyer to wyer represents the motion of the Sun which as it passes over all the Meridians causes the shadow of that Meridional Semi Circle which it is directly over and the Axis and the Meridional Semi-Circle directly opposite to the upper Meridional Semi-Circle to fall all into one straight line And upon what point in the East and West line mentioned before that shadow-line shall fall is marked ●ut by the application of the thred as aforesaid and is an Hour-line on any of the foresaid Planes If you understand this Probleme rightly you do already know how to draw the Hour lines upon all manner of Planes and need no further Instructions yet partly fearing a raw Student should not clearly understand these Rules and partly doubting because other Authors have been more Copious upon this Subject that I should be censured to be too sparing of my pains if I should lightly touch so eminent a Doctrine as Dyalling is Therefore I shall more distinctly handle Dyalling by the Globe according to the way or Method that other Authors have used and that after so plain a manner as possibly my Genius can devise PROB. II. To make an Equinoctial Dyal DIscribe a Circle on a square board or Plane as B C E D and through A the Center thereof draw a straight line Parallel to one of the sides as B E Cross that straight line with another straight line as C D at Right Angles so shall the Circle be divided into 4 equal parts Divide each of these four equal parts into 90. degrees as in the Figure This Circle shall represent the Horizon Erect a wyer exactly perpendicular to the Center of the Plane and that wyer shall be the Gnomon or Style of the Dyal Then Elevate one of the Poles of your Globe into the Zenith and bring the Equinoctial Colure to the Meridian And because in every hours Time 15 degrees of the Equator passes through the Meridian in Heaven therefore turn the Globe till 15 degrees of the Equator pass through the Meridian of your Globe so shall the Colure pass by 15 degrees of the Horizon also Therefore from the Center of your Plane draw straight lines through 15 degrees from one of the Semidiameters both waies and those straight lines shall be two Hour-lines Then turn the Globe till 15 degrees more of the Equator pass through the Meridian and you will find as before the Colure pass by 15 degrees more of the Horizon therefore on your Plane number 15. degrees further beyond both the former lines and from the Center draw straight lines through both those 15. degrees and they shall be two Hour lines more Fór all the other Hour lines turn the Globe till 15. degrees of the Equator at a time pass through the Meridian as before and you will find that for every 15. degrees of the Equator that passes through the Meridian the Colure will pass through 15. degrees of the Horizon therefore those Hour lines must be drawn from the Center according to the succession of every 15 degrees on your Plane Having drawn the Hour lines you may set figures to them beginning to number your Hour lines from one of the Diameters marking it with XII and the next Hour line to the left hand with I and the next II the next III c. to XII and begin again with I II III c. till you come to the other XII where you began and then your Dyal is finished See the Figure This is an Universal Dyal and serves in all Latitudes therefore when you place it you must set one of the XII s downwards and the Axis Parallel to the Axis of the World But note Both faces of this Dyal ought to be divided and the Gnomon must appear on both sides like the stick in a Whirligig which childeren use or else you must turn it upside down so oft as the Sun passes the Equinoctial PROB. III. To make an Horizontal Dyal DIscribe a Circle on your Plane as C B D E and through the Center A of that Circle draw a Meridian line as B E cross that line at Right angles with another line as C D so shall your Circle be divided into four equal parts Divide each of these four parts into 90. degrees so shall the whole be divided into 360. These 360 degrees represent the 360 degrees of the Horizon which a Meridian line drawn through the place of the Sun runs through in every 24. Hours The motion of which Meridian line through the degrees of the Horizon is Regular in a Parallel Sphear for in equal Time it moves an equal Space throughout the whole Circle viz. it will pass through 15. degrees of the Horizon in one Hours Time or which is all one whiles 15. degrees of the Equator passes through the Meridian as was shewed in the last Probleme But in an Oblique Sphear its motion through the Horizon is Irregular and that more or less according to the more or less Obliquity of the Sphear For far Northwards or Southwards you may see this Meridian line pass through 40 50 yea 60. degrees of the Horizon in one Hours time viz whiles 15. degrees of the Equator passes through the Meridian but in an other Hours time you will scarce have 4 or 5 degrees pass through the Horizon whiles 15 degrees of the Equator passes through the Meridian But that you may know the motion of the Sun represented by this Meridian line through the Horizon in all Latitudes Elevate the Pole to the Elevation of your Place and chuse instead of a Meridian line drawn through the Place of the Sun the Vernal Colure to be your Meridian line both because it is most visible and because from thence the degrees of the Equator are begun to