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
A93914	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 compass 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 astronomy and navigation ... By Thomas Stirrup, philomath. Whereunto is added an appendix, shewing how the parallels of declination; the Jewish, Babylonish, & Italian houres; the azimuths, almicanters, &c. may be easily inscribed on any dial whatsoever, by rule and compasse onely. And to draw a diall on the seeling of a room, by W. Leybourn. Also, Dialling Vniversal, performed by an easie and most speedy way, ... by certain scales set on a small portable ruler, by G.S. practitioner in the mathematicks.	Stirrup, Thomas.; Leybourn, William, 1626-1716. Appendix, shewing how the parallels of declination; the Jewish, Babylonish, & Italian hours; the asimuths, almicanters &c. may be easily inscribed on any dial whatsoever.; Serle, George. Dialling universal.	1658 (1658)	Wing S5689; Thomason E956_2; ESTC R207639	89,665	174

from 11 to h. These points a b c d e f g h being found upon the several and respective hour-lines shall be the points through which the Tropick of Cancer shall passe therefore draw the line a b c d e f g h and that shall be the Tropick of Cancer so that when the Sun is in Cancer which is about the 11 of June the top of the shadow of the stile of your Dial will run directly along that line a b c d e f g h and when the Sun is in the Equinoctial that is in the beginning of Aries or Libra which is on the 10 of March or the 12 of September the top of the shadow of the stile will run along the Equinoctial line E F. The Tropick of Cancer being drawn I will now shew you how to draw the Tropick of Capricorn which differeth nothing from that of Cancer because they have both of them like declination from the Equinoctial therefore the distance 8 k being made equal to the distance 8 e and the distance 9 l equal to 9 f and the distance 10 m equal to 10 g you shall have the points k l m upon the hours of 8 9 and 10 through which points k l m draw the line k l m c. which line shall represent the Tropick of Capricorn along which line the top of the shadow of the stile shall run about the 11 of December when the Sun is in Capricorn Having thus plainly shewn you how to insert the Equinoctial and Tropicks into your plane I will now give you one Rule by which you may put on any other intermediate parallels of the Suns course they differing nothing at all from the directions formerly given you to insert the Tropicks Consider therefore what parallels you would put on your plane and find what declination the Sun hath when he is in such a parallel and accordingly insert those degrees of declination into your Trigon as before you did for the Tropicks Example Let it be required to put upon your plane the paralls of the Suns entrance into the 12 Signes of the Zodiaque You must first find what declination the Sun hath when he enters any of those Signes which this little Table doth plainly shew by which you may see that when the Sun enters into Taurus Virgo Scorpio or Pisces his declination is 11 deg 30 min. and when he is in the beginning of Gemini Leo Sagitarlus or Aquartus his declination is 20 deg 12 min. A TABLE shewing what declination the Sun hath at his entrance into the twelve SIGNES North decli     D M     South decli   Aries 00 00 Libra     Taurus Virgo 11 30 Scorpio Pisces     Gemini Leo 20 12 Sagittarius Aquarius     Cancer 23 31 Capricorn   Therefore take 11 deg 30 min. in your Compasses and place it in your Trigon from R unto V and draw the line O V which shall represent the Parallel of Taurus Virgo Scorpio and Pisces Also take 20 deg 12 min. in your compasses and place it in your Trigon from R unto X and draw O X which shall represent the parallel of Gemini Leo Sagittarius and Aquarius These parallels being placed in your Trigon according to their true declination from the Equinoctial they are to be trans erred 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 several points where the hours crosse the parallel and place the same distances upon your plane from the Equinoctial upon the respective hour-lines from which they were taken our 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 kind 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 straight piece of wyer equal 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 Astronomical 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 M E N in the former East Dial is called the Horizontal 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 shewed that when the Sun is in the Tropick of Cancer he riseth somwhat before four in the morning in like manner the Tropick of Capricorn cutteth the Horizontal 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 Horizoatal full South or North planes which are the next in order § 2. In the North South and Horizontal Dial. IN all these planes the substiler and the Meridian are all one and the height of the stile in the Horizontal Diall is always equal to the latitude of the place and you are to take notice that whatsoever is here said of the full North and South upright planes the same is to be understood of the full North and South reclining or inclining all which in those latitudes whose complement is equal to the height of the stile they are erect direct planes and in those