Selected quad for the lemma: day_n

Word A Word B Word C Word D Occurrence Frequency Band MI MI Band Prominent
day_n east_n hour_n minute_n 4,917 5 12.2222 5 false
View all documents for the selected quad

Text snippets containing the quad

ID Title Author Corrected Date of Publication (TCP Date of Publication) STC Words Pages
A40031 Elliptical or azimuthal horologiography comprehending severall wayes of describing dials upon all kindes of superficies, either plain or curved, and unto upright stiles in whatsoever position they shall be placed / invented and demonstrated by Samuel Foster ... Foster, Samuel, d. 1652.; Twysden, John, 1607-1688.; Wingate, Edmund, 1596-1656. 1654 (1654) Wing F1632; ESTC R7034 96,404 198

There is 1 snippet containing the selected quad. | View lemmatised text

have the view of this first draught of Precepts THese Rules here given may seeme to be stuffed with many impertinencies and some need lesse difficulties which the Author acknowledgeth wil●ingly and excuseth by reason that they were his first med●tat●ons in th●s kinde and so much the more undigested by how much the lesse pra●●●se hath been by him used therein The truth is he never described any thing sutable to the Cases of these two last Sections And if the Reader be any way able to discern what it is to write upon a Mathematicall Subject wherein hath preceded no reall ●epresentation he will not only excused difficulties and impert●nencies in the trad●tion but will wonder if there be not some miscarriages in point of truth of which notwithstanding the Author is confident this Treatise is clear S. Foster 15. Having placed a Diall plate to move let the Coast of the motion be casual● how to fit a stedfast Index to it and to describe an Ellipticall Diall upon the said moving plain THis Case was forgotten before but now here supplyed You must observe the line upon the immoveable plate which the midst of the moving plate doth describe and suppose that line to be the proper Meridian Then from some convenient point of that proper Meridian raise a true Axis Project the Axis upon the proper Meridian and from any point of the said Meridian raise a threed or Index any where only so as that both this Threed the Axis and the Proper Meridian may all three appear in one line There six the threed and then finde the Longitude and Latitude of it and afterwards describe the Diall to it according to the rules given before 16. If an Index should be set up and made moveable upon a standing plain there can no Diall be described thereto UNlesse the Index be made of wire or some such bending substance but to such there may For if you observe what streight line the foot makes in its motion you must count that as the proper Meridian and so setting up an Axis to some point of it you may put in an Index into that foot so as the Axis and fiduciall edge of the Index and the Proper Meridian may all three appear in one line And then finish your work as is before directed FINIS CIRCULAR Horologiography SHEWING How to make an Horizontall Diall in a Circle equally divided to shew the Hour of the day and Azimuth of the Sun Invented and written by Mr. SAMVEL FOSTER Late professor of Astronomie in Gresham-Colledge London Printed for Nicholas Bourn 1654. CIRCULAR Horologiography How to make an Horizontall Diall in a Circle equally divided to shew the Houre of the day and Azimuth of the Sun HEre before we have had ELLIPTICAL HOROLOGIOGRAPHY now shall follow CIRCULAR HOROLOGIOGRAPHY which sheweth how to make a Diall in a perfect Circle equally divided into houres whereby to finde the houre upon any plain whatsoever Divide a Circle into 24 equall parts and take so many of them as your Horizon hath houres in the longest day or rather so many as the degrees of your greatest Amplitude East and West from the South do arise unto which here at London will be neer 18 of them Then divide each of these parts into 15 which for the Azimuth will signifie degrees for the houre will stand for four minutes of time apiece The altitude of the Horary Index may thus be found Adde your Latitude to 90 gr halfe that summe is the elevation of the Horary Index above the Horizon Thus at London 45 min. which is the altitude or elevation required Or adde halfe the complement of your Latitude which is 19¼ to your Latitude 51½ the sum 70¾ is the elevation of the Index The standing and looking of it It must stand right over the line of 12 elevated above the said line 70¼ gr and must looke toward but not into the North Pole The motion of the Horary Index It must move to and fro directly over the line of 12. Or else the houres must move to and from it according to the line of 12 so as that the same line may alwayes lie under the foot of the said Index The motion of the one or the other is necessary because else the Circle of equall parts can never shew the true houre all the year long How the Zodiac is to be limited and laid and charactred The motion of the Index must be regulated by the Zodiac The Zodiac therefore must lie either in or else parallel to the Meridian line The length of it is thus to be limited Count the Semidiameter of your Circle viz. A B for the Radius to that Radius Either 1. Make the Sine of 70¾ taken to the Radius of your Circle a Tangent of 70¾ and to the Radius of that Tangent finde the Secant of 19¼ the complement of 70¾ that length shall be the Radius of the degrees or the Decimall of the Tangents of the Zodiac to be inserted by the Tables Pag. 4 5 6 and 7. 2. Or else Make the Sine of 19¼ estimated to the Semidiameter of the Circle A B as Radius a Radius and to that Radius finde the Secant of 19 1 this last length or Secant shall be the quantity of the Tangent of 45 gr or of the Decimall Scale by which the numbers Pag. 4 5 c. are to be inserted And in these Northern Horizons ♋ and ♈ must be placed so that 12 may be neerest to the Index in Summer and furthest off in Winter The manner how to fashion the Cock which holdeth the Index The fashion may be seen by the figure A C D. At A is the place of the fiduciall point of the foot of the Index to be assigned and in that point a hole must be pierced and a threed fixed Then the Cock must have two holes more pierced one at C the other at D both to stand perpendicularly over the line of 12. That at C must be so placed that the angle C A B may be 70¾ gr That at D must be placed so that D A B may be an angle of 90 gr How to place this Diall for use YOu must either fix your Diall plate in the Meridian line and truly Horizontall or else upon an Horizontall or levell flat you must draw a Meridan line whereby to place it upon any occasion Then To finde the Houre Make use of the Index A C and rectifie the foot of the Index to the requisite place in the Zodiac either to the day of the moneth or the degree of the Signe When it is thus rectified and set the shadow of the threed A C will shew the houre of the day To finde the Azimuth Put the threed from A to D and let A D be your Index Then alwayes place the foot of the threed in the center of the Circle at A So shall the threed A D give the Azimuth ¶ Note That the Scales of Declination Amplitude Ascensionall