Selected quad for the lemma: end_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
end_n	east_n	point_n	west_n	1,970	5	9.4719	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A93913	Horometria: or the compleat diallist: wherein the whole mystery of the art of dialling is plainly taught three several wayes; two of which are performed geometrically by rule and compasse onely: and the third instrumentally, by a quadrant fitted for that purpose. With the working of such propositions of the sphere, as are most usefull in astronomie and navigation, both geometrically and instrumentally. / By Thomas Stirrup, philomath. Whereunto is added an appendix, shewing now the parallels of declination; the Jewish, Babylonish, and Italian houres; the azimuths, almicanters, &c. may be easily inscribed on any diall whatsoever, by rule and compasse onely. Also how to draw a diall on the seeling of a room, by W.L.	Stirrup, Thomas.; W. L.	1652 (1652)	Wing S5688; Thomason E667_1; ESTC R203655	83,318	192

from R unto X and draw O X which shall represent the parallel of Gemini Leo Sagitarius and Aquarius These parallels being placed in your Trigon according to their true declination from the Equinoctiall they are to be transferred into your plane in all respects as the Tropicks were by taking out of your Trigon the distances from the line O R to the severall points where the hours crosse the parallel and place the same distances upon your plane from the Aequinoctiall upon the respective hour-lines from which they were taken out of the Trigon and through these points draw the lines in your plane which shall be the true parallels of the Suns course at his entrance into all the 12 Signes of the Zodiaque to which you may set the Characters of the Signes as you see done in the figure ¶ And here note that if you draw upon your plane the halves and quarters of houres and put them into your Trigon and transfer them to your plane again you shall then have more points through which your parallels must passe which will much help you in the drawing thereof especially in large planes for there is no better way to draw these kinde of lines but by finding a great number of points and so draw them by hand ¶ Note also that whatsoever is here spoken of the East and West Dials the same in all respects is to be observed in putting on the parallels of the Suns course in all planes that lie parallel to the Axis of the world as the Polar whether direct or declining In all these kindes of planes as the East West and Polar the stile were best to be made of a streight piece of wyer equall in length to the line E G fixed in the point E standing perpendicular unto the plane the end thereof at G being filed very fine and sharpe proportionable to the greatnesse of the plane for all these Astronomicall conclusions are shewed not by the shadow of the whole length of the stile but by the very Apex or top thereof and therefore the more care ought to be had in the forming and making of it ¶ The line MEN in the former East Diall is called the Horizontall line because it lyeth parallel to the Horizon and by the meeting of the parallels of the Suns course with this line the rising of the Sun may be neerly estimated for there you see that the Tropick of Cancer cutteth this line neer the point M which is a little before the four a clock hour-line which sheweth that when the Sun is in the Tropick of Cancer he riseth somewhat before four in the morning in like manner the Tropick of Capricorn cutteth the Horizontall line something after 8 at which time the Sun riseth being in Capricorn but this by the way the farther use of this line shall be shewed hereafter I have been the larger in the work of this plane because I intend to be more brief in those which follow and this being well and truly understood the others will need very few precepts or examples yet I shall not omit any thing but make it apparent to the meanest capacity Having thus finished the East or West planes I will now shew you how to doe the like in the Horizontal full South or Norrh planes which are the next in order §. 2. In the North South and Horizontall Dials IN all these planes the substiler and the Meridian are all one and the height of the stile in the Horizontall Diall is always equall to the latitude of the place and you are to take notice that whatsoever is here said of the full North South upright planes the same is to be understood of the ful North South reclining or inclining all which in those latitudes whose complement is equall to the height of the stile they are erect direct planes in those latitudes which are equall to the height of the stile above such reclining planes they are horizontal planes One example therefore in one plane will be sufficient for all the rest Therefore in the latitude of 52 deg 30 min. Let it be required to describe the Equinoctiall and the two Tropicks in a full South erect plane Having drawn your Diall with the houres halves and quarters as also the line C Q for the stile you must make choice of some convenient point in the stile as at S for the Gnodus or knot which must give the shadow to the Tropicks and other parallels of declination for all these Astronomicall conclusions are not shewed by the shadow of the whole length of the stile or Axis as the houre is but by some point therein which representeth the center of the earth which in the Diall following is the point S and the triangular stile in that Diall is represented by the triangle C S L whereof C L is called the substilar C S the Axis of the stile and S L the perpendicular stile the top of which viz. S is the point we are in this place to respect The Diall being drawn and the Triangle C S L made equall to the Cock of the Diall you must upon a piece of pastboard draw the Triangle O P R equall to the stile in your Diall C S L making R O equall to C L the substilar P O equall to C S the axis of the stile and P R equall to S L the length of the perpendicular stile Then from the point P raise a perpendicular as P B representing the Equinoctiall and on P as a center describe the arch A B C now because the Tropicks of Cancer and Capricorn doe decline 23 deg 31 min. from the Equinoctial therefore take 23 deg 31 min. from your Scale of Chords and set it off upon the arch A B C from B to A and from B to C and draw the lines P A and P C representing the two Tropicks of Cancer and Capricorn This done extend the line of the substilar R O which in North or South erect direct planes I told you was alwayes the same with the twelve aclock line from O to 12 cutting the Equinoctiall line P B in the point a then with your compasses take the distance O a out of your Trigon and place it in your plane from the center C unto a and draw the line ♈ a ♎ perpendicular to the substile or line of 12. The Equinoctiall being drawn First take out of your plane the distance C b and place that distance in your Trigon from O unto b and draw the line O b 1 representing the houre of 1 or 11 in your Diall Secondly take out of your plane the distance C c and place that in your Trigon from O unto c and draw the line O c 2 representing the houre-lines of 2 or 10. Thirdly take out of your plane the distance C d and place it in your Trigon from O unto d and draw the line O d 3 for the houres of 9 and 3. Fourthly from our plane take