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end_n east_n north_n west_n 5,069 5 9.1516 5 true
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ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A69643 A nevv quadrant, of more naturall, easie, and manifold performance, than any other heretofore extant framed according to the horizontall projection of the sphere, with the uses thereof. By C.B. maker of mathematic instruments in metall. Brookes, Christopher, fl. 1649-1651. 1649 (1649) Wing B4917A; ESTC R4412 8,127 24

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certainty worke according to this foure-fold Rule following 1. Before June 10 out of the number of dayes from May 0 subduct 11 the remains shall be the Degrees of ♊ thus for June 3 because there is all May and three dayes of June say 34 11 23 ♊ the place of the Sunne 2. After June 10 out of the Number of dayes from June 0 subduct 10 the remains shall bee Degrees of ♋ thus for July 3 say 33 10 23 ♋ the place of the Sun 3. Before December 13 out of the Number of dayes from November 0 subduct 13 the reamines shall be Degrees of ♐ thus for December 3 say 33 13 20 ♐ the place of the Sun 4. After December 13 out of the Number of dayes from December o subduct 13 the remaines shall be Degrees of ♑ thus for January 3 say 34 13 21 ♑ the place of the Sunne Use XV To find the Suns Right Ascension every day Having by Use XIV found the place of the Sunne in the Ecliptic mark diligently upon what houre and as neare as you can estimate what minute it falleth counting the houres in the first and third Quarters of the Ecliptic from the Equinoctiall point but in the second and fourth Quarters from the Meridian and adde thereto in the second Quarter six hours in the third twelve houres and in the fourth eighteen houres so shall you have the Sunnes Right Ascension not in Degrees but in time which is more proper for use Example in ♌ 6. the Sunnes Right Ascension will bee eight houres one halfe and about three minutes that is H 8 33. min. reckoning 30′ for halfe an houre Use XVI To find the Houre of the Night by the Starres For this I have set a little Table of five knowne Stars dispersed round about the Heavens with their Declination and Right Ascension for Anno Dom. 1650. Namely the left shoulder of Orion noted O. The heart of the Lion noted ♌ Arcturus noted A the Vulture volant noted V. The end of the wing of Pegasus noted P. The Table   Declinat Rec. As O 5° 59′ N H5 6,5′ ♌ 13 39 N 9 50 A 21 4 N 14 00 V 8 1 N 19 34 P 13 15 N 23 55 5 THe Operation is thus first by the height of the Starre taken and the parallel of its Declination exactly traced seek out the houre of the Starre from the Meridian as before was taught for the houre of the Day by the Sunne Secondly out of the Right Ascension of the Starre subduct the Right Ascension of the Sun the remain● sheweth how long time from the Noone before the same starre commeth into the Meridian Lastly if the Starre be not yet come to the Meridian out of the houre of the Starres comming into the Meridian subduct the houre of the Starre but if the Star be past the Meridian adde both the houres together so shall you have the true houre of the Night Note that if the hours out of which you are to subduct bee lesser than the other you must adde unto them 24. Use XVII To finde out the MeridianLine upon any Horizontall plaine About the middle of your plaine describe a Circle and in the Center thereof erect a straight Piece of Wire perpendicularly When the Sunne shineth note the point of the Circle which the shadow of the Wire cutteth which I therefore call the shadow point and instantly by Vse IX seeke the Sunnes Azumith from the South or North keepe it in minde Then from the shadow point if your observation be in the foore-noon reckon upon the circle an Arch equall to the Azumith kept in minde that way the Sunne moveth if the Azumith bee South Or the contrary way if it bee North But if your observation bee in the afternoone reckon the North Azumith that way the Sunne moveth Or the South Azumith the contrary way Lastly through the end of the Azumith and the center protract a Diameter for the Meridian line sought which you may note with S. at the south end and with N. at the North end You may also note the point of the Circle Diametrally opposite to the shadow point with sun because it is the Azumith place of the Sun at the moment of your observation Use XVIII To finde the Declination of any Wall or plaine The safest way because the Magneticall Needle is apt to be drawne awry will be by an Instrument made in this manner Provide a rectangular board about ten Inches long and five broad in the midst whereof crosse the breadth strike a Line perpendicular to the sides and taking upon it a Center describe a Circle intersecting the same Line in two opposite points to be noted with the Letters T. and A divide each semicircle into two Quadrants and every Quadrant into 90 Degrees beginning at the points T and A both wayes the first Quad. beginning on the left hand of T. the second Quadrant on the right hand the third Quadrant above it toward A And lastly the fourth Quadrant And in the Center erect a Wier at right Angles The use of this Instrument Apply the long side of the board next T to the Wall when the Sunne shineth upon it holding it parallel to the Horizon that it may represent an Horizontall plaine Marke what Degree the shadow of the Wyer cutteth in the Circle and instantly seek the Sunnes Azumith either South or North Reckon it on the Circle from the shadow to the Meridian as was taught in the Use next before noting that end with the Letter contrary to that of the Azumith as if the Azumith bee South note it N. and the opposite end S if the Azumith bee North note it S and the opposite end N whereby also you have the East and West sides So shall the Arch S A. or N A. give the Declination of the plaine and the point A the coast or quarter into which it is Example June 2 in the forenoone applying the instrument to a wall I found the shadow in 23 Degr. of Quadr. 2. and the height of the Sunne was 26 Degrees whereby I found the Azumith to be North 84 Degr. which reckoned from the shadow against the Sunne fell upon 61 Degr. in Quad. 1. for one end of the Meridian and the Opposite end which is N. upon 61 Degr. in Quad. 3. And A was on the East side of N. Wherefore the Declination of that Wall is 61 Deg. from the North Eastward Use XIX To finde the Declination of an upright wall by knowing the time of the Sunnes comming to it or leaving it And contrariwise the Declination of an upright Wall being known to finde at what time the Sunne will come into it Because the Declination of a plain is an arch of the Equinoctiall intercepted between the Horizontall section of the plaine and the East or West points Or else which is all one between the Meridian and A the axis of that Horizontall sexion Watch till you see the Center of the Sunnejust even with the edge of the Wall then instantly take the Sunnes Azumith from East or West by Use IX the same is the Declination of the wall Likewise if the Declination be given reckon it upon the Limbe of your Quadrant from the East and West point and the thread being applyed to the end of that Arch shal in the Suns imaginary parallel for that day cut the houre and time desired Use XX Certaine advertisements necessary for the use of the Quadrant in the night In which Questions as concerne the night or the time before Sunne-rising and after Sunnesetting the instrument representeth the lower Hemisphere wherein the Southern Pole is elevated And therefore the parellels which are above the Equinoctiall toward the Center shall be for the Southerne or winter parellels and those beneath the Equinoctiall for the Northerne or Summer parallels and the East shall be counted for West and the West for East altogether contrary to that which was before when the Instrument represented the upper Hemisphere Use XXI To finde how many Degrees the Sunne is under the Horizon at any time of the night Seek the Declination of the Sunne for the day proposed by Use I. and at the same Declination on the contrary side of the Equinoctiall imagine a parallel for the Sunne that night and marke what point of it is in the very houre and minute proposed Set the bead to that poynt then applying the thread to the scale of Altitudes marke upon what Degree the bead falleth for the same shall shew how many Degrees the Sunne is under the Horizon at that time Use XXII To finde out the length of the Crepusculum or Twi-light It is commonly held that Twilight is so long as the Sunne is not more then 18 degrees under the Horizon the question therefore is at what time the Sunne cometh to be 18 Degrees under the Horizon any night Seek the Sunnes declination for the time proposed and at the same declination on the contrary side of the Aequinoctiall imagine a paralsel for the Sunne that night then set the bead at 18 degrees in the scale of Altitudes and carry the thread about till the bead fall upon the imagined parallell for there shall be the houre or time sought And in this very manner you may find the time or houre of the night at any other depression of the Sunne under the Horizon FINIS