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	perpendicular_a	3,095	5	14.0786	5	true

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A08583	The description and use of the double horizontall dyall	Oughtred, William, 1575-1660.	1632 (1632)	STC 18899C.5; ESTC S3161	8,104	18

That which hath heere bin taught concerning the finding out the sunnes true place in the dyal ought perfectly to be understood that it may be readily and dexterously practized for upō the true performance therof dependeth all that followeth IX Vse To find the hower of the day If the dyall be fastened upon a post the hower by the outward dyall or limbe is knowne of every one the upright shadow in the suns parallel or diurnal arch wil also shew the very same hower But if the dyall be loose either hold it or set it parallel to the horizō with the stile pointing into the North and move it gently every way untill the hower shewed in both dyals exactly agreeth or which is all one find out the true place of the sunne upon the dyall as was taught in the former question for that point among the hower lines sheweth the hower of the day X. Vse To find out the Meridian and other points of the compasse First you must seeke the true hower of the day by the last question for in that situation the Meridian of the dyall standeth directly North and South and the East pointeth into the East and the west into the west and the rest of the points may be given by allowing degr 11. ¼ unto every point of the compasse XI Vse To find out the Azumith of the sunne that is the distance of the Verticall circle in which the sunne is at that present from the Meridian Set your dyall upon any plaine or flat which is parallel to the horizon with the Meridian pointing directly North and South as was last shewed then follow with your eye the upright shadow in a streight line till it cutteth the horizon for the degre in which the point of intersection is shall shew how farre the suns Azumith is distant from the East and west points and the complement thereof unto 90. shall give the distance therof from the Meridian XII Vse To find out the Declination of any Wall upon which the sunne shineth that it how farre that wall swerveth from the North or South either Eastward or Westward Take a board having one streight edg a line strickē perpēdicular upō it apply the streight edg unto the wal at what tyme the sun shineth upō it holding the board parallel to the horizon Set the dyal thereon move it gently every way untill the same hower and minute be shewed in both dyals and so let it stand then if the dyal have one of the sides parallel to the Meridian strike a line along that side upon the board crossing the perpendicular or else with a bodkin make a point upon the board at each end of the Meridian and taking away the instrument from the board and the board from the wall lay a ruler to those two points draw a line crossing the perpendicular for the angle which that line maketh with the perpendicular is the angle of the declination of the wall And if it be a right angle the wall is exactly East or west But if that line be parallel to the perpendicular the wall is direct North or South without any declination at all You may also find out the declination of a wall if the dyall be fixed on a post not very farre frō that wal in this maner Your board being applyed to the wal as was shewed hang up a thred with a plummet so that the shadow of the thread may upon the board crosse the perpendicular line make two pricks in the shadow runn instantly to the dyall and looke the horizontall distance of the sunnes Azumith or upright shadow from the Meridian Then through the two pricks draw a line crossing the perpendicular and upon the point of the intersection make a circle aequal to the horizon of your instrument in which circle you shall from the line through the two pricks measure the horizontall distance of the upright shadow or Azumith from the Meridian that way toward which the Meridian is draw a line out of the center to the end of that arch measured and the angle which this last line maketh with the perpendicular shal be aequall to the declination of the wall XIII Vse How to place the dyall upon a post without any other direction but it selfe Set the dyall upon the post with the stile into the North as nere as you can guesse then moue it this way and that way till the same hower and minute be shewed both in the outward inward dyals by the several shadowes as hath bin already taught for then the dyal standeth in its truest situation wherefore let it be nailed downe in that very place XIIII Vse To find the height of the Sun at high noone every day Seeke out the diurnal arch or parallel of the sunnes course for that day by use III. and with a paire of compasses setting one foot in the center the other in the point of intersectiō of that parllel with the Meridian apply that same distance unto the samidiameter divided for that measure shall therein shew the degree of the sunnes altitude above the horizon that day at high noone XV. Vse To find the height of the sunne at any hower or time of the day Seeke out the diurnall arch or parallel of the sunnes course for that day and marke what point of it is in the very hower minute proposed And with a paire of compasses setting one foot in the center and the other in that point of the parallel apply the same distance unto the semidiameter divided for that measure shall shew the degree of the sunnes altitude above the horizon at that time And by this meanes you may find the height of the sunne above the horizon at every hower through out the whole yeare for the making of rings and cylinders and other instruments which are used to shew the hower of the day XVI Vse The height of the sunne being given to finde out the hower or what it is a clocke This is the converse of the former seeke therefore in the semidiameter divided the height of the sunne given And with a payre of compasses setting one foot in the center and the other at that height apply the same distance unto the diurnall arch or parallel of the sunne for that day for that point of the diurnall arch upon which that same distance shall light is the true place of the sunne upon the dyal and sheweth among the hower lines the true time of the day XVII Vse Considerations for the use of the instrument in the night In such questions as concerne the night or the time before sunne rising and after sunne setting the instrument representeth the lower hemisphere wherin the southerne pole is elevated And therefore the parallels which are above the Aequinoctiall toward the center shal be for the southerne or winter parallels and those beneath the Aequinoctiall for the Northerne or Summer parallels and the East shall be accounted for West and the west for East altogether contrary to that which was before when the instrument represented the upper hemisphaere XVIII Vse To find how many degrees the sunne is under the horizon at any time of the night Seeke the declination of the sun for the day proposed by use II. And at the same declination on the cōtrary side imagine a parallel for the Sun that night and marke what point of it is in the very hower minute proposed And with a paire of compasses setting one foot in the center and the other in that point of the parallel apply that same distance unto the semidiameter divided for that measure shall shew the degree of the sunnes depression below the horizon at that time XIX Vse To find out the length of the Crepusculum or twylight every day Seeke the declination of the sun for the day proposed by use II. And at the same declination on the cōtrary side imagine a parallel for the sun that night And with a payre of compasses setting one foot in the center and the other at 72. degrees upon the semidiameter divided apply that same distance unto the sunnes nocturnall parallel for that point of the parallel upon which that same distāce shal light sheweth among the hower lines the beginning of the twilight in the morning or the end of the twilight in the evening XX. Vse If the day of the month be not knowne to find it out by the dyall For the working of this question eyther the dyall must be fixed rightly on a post or else you must have a true Meridian line drawne in some window where the sun shineth wherefore supposing the dyall to be justly set eyther upon the post or upon the Meridian Looke what a clock is it by the outward dyal and observe what point of the upright shadow falleth upon the very same minute in the inner dyall and through that same point imagine a parallel circle for the sunnes course that imaginary circle in the Ecliptic shall cut the day of the moneth These Instrumentall dyalls are made in brasse by Elias Allen dwelling over against St. Clements Church without Temple-barre FINIS