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Author: Stirrup, Thomas.
Title: 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.
Publication Info: Ann Arbor, MI ; Oxford (UK) :: Text Creation Partnership,
2012-10 (EEBO-TCP Phase 2).
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Print source: 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.

London: printed by R. & W. Leybourn, for Thomas Pierrepont, at the Sun in Paul's Church-yard, 1659 [i.e.1658]
Subject terms:
Dialing -- Early works to 1800.
URL: http://name.umdl.umich.edu/A93914.0001.001

Contents
title page
illustration
TO THE READER.
THE CONTENTS.
advert for mathematical instruments
note
THE FIRST BOOK.
CHAP. I. Of certain terms of Geometry, necessary to be known of the unlearned, before the proceeding in this Art of Dialling.
Definition 1.
Definition 2.
Definition 3.
Definition 4.
Definition 5.
Definition 6.
Definition 7.
Definition 8
Definition 9.
Definition 10.
Definition 11.
Definition 12.
Definition 13.
Definition 14.
Definition 15.
Definition 16.
Definition 17
Definition 18.
Definition 19.
CHAP. II. To a line given, to draw a parallel line, at any distance required.
CHAP. III. To perform the former proposition at a distance required, and by a point limited.
CHAP. IV. The manner how to raise a perpendicular line, from the middle of aline given.
CHAP. V. To let a Perpendicular fall from a point assigned, unto the middle of a line given.
CHAP. VI. To raise a Perpendicular upon the end of a line given.
CHAP. VII. To let a Perpendicular fall from a point assigned, unto the end of a line given.
CHAP. VIII. Certain Definitions Astronomical, meet to be understood of the unlearned, before the proceeding in this Art of Dialling.
Definition 1.
Definition 2.
Definition 3.
Definition 4
CHAP. IX. Of the six greater Circles.
Definition 5.
Definition 6.
Definition 7.
Definition 8.
Definition 9.
CHAP. X. Of the four lesser Circles.
Definition 10.
Definition 11.
Definition 12.
Definition 13.
Definition 14.
Definition 15.
Definition 16.
Definition 17.
Definition 18.
Definition 19.
Definition 20.
Definition 21.
Definition 22.
Definition 23.
Definition 24.
Definition 25.
Definition 26.
Definition 27.
THE SECOND BOOK.
CHAP. I. The description of the Scale, whereby this work may be performed.
The manner how to divide the line of Chords.
CHAP. II. How speedily with Rule and Compasse, to make an angle containing any degrees assigned; or to get the degrees of any angle made.
CHAP. III. To find the Altitude of the Sun by the shadow of a Gnomon set perpendicular to the Horizon.
CHAP. IV. To find the altitude of the Sun by the shadow of a Gnomon stan∣ding at right angles with any perpendicular wall, in such manner that it may lie parallel unto the Horizon.
CHAP. V. The Almicater, or height of the Sun being given, to find the length of the right shadow.
CHAP. VI. The Almicanter, or height of the Sun being given, to find the length of the contrary shadow.
CHAP. VII. Having the distance of the Sun from the next Equino∣ctial point, to his Declination.
CHAP. VIII. The Declination of the Sun, and the quarter of the Ecliptique which he possesseth being given, to find his true place.
CHAP. IX. Having the Latiude of the place, and the distance of the Sun from the next Equinoctial point, to find his Amplitude.
CHAP. X. Having the Declination and Amplitude of the Sun, to find the height of the Pole.
CHAP. XI. Having the Latitude of the place, and the Declination of the Sun, to find his Amplitude.
CHAP. XII. The elevation of the Pole, and the Amplitude of the Sun being given, to find his Declination.
CHAP. XIII. Having the Latitude of the place, and the declination of the Sun, to find his height in the Vertical Circle, or when he shall come to be due East or West.
CHAP. XIV. Having the Latitude of the place, and the declination of the Sun, to find the time when the Sun cometh to be due East or West.
CHAP. XV. Having the latitude of the place, and the declination of the Sun, to find what altitude the Sun shall have at the houre of six.
CHAP. XVI. Having the Latitude of the place, and the Declination of the Sun, to find what Azimuth the Sun shall have at the houre of fix.
CHAP. XVII. The Latitude of the place; the Almicanter, and Declination of the Sun being given, to find the Azimuth.
CHAP. XVIII. The latitude of the place, the Declination of the Sun, and the altitude of the Sun being given, to find the hour of the day.
CHAP. XIX. Having the Azimuth, the Suns altitude, and the Declination, to find the houre of the day.
CHAP. XX. Having the hour of the day, the Suns altitude, and the declination, to find the Azimuth.
CHAP. XXI. Having the Latitude of the place, and the Declination of the Sun, to find the Ascensional difference.
CHAP. XXII. Having the Declination of the Sun to find the right ascension.
CHAP. XXIII. Having the right Ascension of the Sun or Star, together with the difference of their ascensions, to find the Oblique Ascension.
CHAP. XXIV. How to find the altitude of the Sun without Instrument.
CHAP. XXV. How to find out the latitude of a place, or the Poles elevation above the Horizon, by the Sun.
THE THIRD BOOK.
CHAP. I. How to examine a Plane for an Horizontal Dial.
CHAP. II. Of the trying of Planes, whether they be erect or inclining, and to find the quantity of Inclination.
CHAP. III. To find the Declination of a Plane.
CHAP. IV. How to draw the Meridian line upon an Horizontal Plane, the Sun shining thereon.
CHAP. V. Of making the Equinoctial Dial.
CHAP. VI. The drawing of a Dial upon the direct Polar Plane.
CHAP. VII. The making of an erect Meridian Diall.
CHAP. VIII. To draw a Dial upon an horizontal plane.
CHAP. IX. To draw a Dial upon an erect direct vertical plane, commonly called a South or North Dial.
CHAP. X. To draw a Dial upon a direct vertical plane, inclining to the Horizon.
CHAP. XI. To draw a Dial upon an erect, or vertical plane declining, com∣monly called a South or North erect declining Dial.
CHAP. XII. How to draw a Dial upon an horizontal plane, otherwise then in the eighth Chapter was shewed.
CHAP. XIII. To draw a Dial upon a direct vertical plane, as well erect as incli∣ning, otherwise then in the ninth Chapter was shewed.
CHAP. XIV. The declination of an upright plane being given, how thereby to find the elevation of the Pole above the same, with the angle of Deflexion, or the distance of the substile from the Me∣ridian: and also the angle of inclination betwixt both Meridians.
CHAP. XV. To draw a Dial upon an erect, or vertical plane declining, other∣wise then in the 11 Chapter was shewed.
Of a Plane falling neer the Meridian.
CHAP. XVI. The inclination of a Meridian plane being given, how thereby to find the elevation of the pole above the plane, the distance of the Substile from the meridian, and the angle of the inclination of the meridian of the plane to the meridian of the place.
CHAP. XVII. To draw a Dial upon the Meridian inclining plane.
CHAP. XVIII. The inclination and declination of any plane being given, in a known Latitude, to find the angle of intersection botween the plane and the Meridian, the aseension and elevation of the Meridian, with the arch thereof between the Pole and the plane, and also the elevation of the Pole above the plane, the distance of the substile from the Meridian, with the inclination between both Meridians.
CHAP. XIX. To draw a Dial upon a declining inclining Plane.
THE FOURTH BOOK.
CHAP. I. The description of the Quadrant.
CHAP. II. Of the use of the line of Sines.
CHAP. III. The Right Sine of any arch being given to find the Radius.
CHAP. IV. The right Sine, or the Radius of any Circle being given, and a streight line resembling a Sine, to find the quantity of that unknown Sine.
CHAP. V. The Radius of a circle not exceeding the line of Sines being given, to find the chords of every arch.
CHAP. VI. To divide a line by extream and mean proportion.
CHAP. VII. To find a mean proportional line between two right lines given.
CHAP. VIII. Having the distance of the Sun from the next equinoctial point, to find his declination.
CHAP. IX. The declination of the Sun, and the quarter of the ecliptick which he possesseth being given, to find his place.
CHAP. X. Having the latitude of the place, and the distance of the Sun from the next equinoctial point, to find his amplitude.
CHAP. XI. Having the declination and amplitude to find the height of the pole.
CHAP. XII. Having the latitude of the place and the declination of the Sun, to find his amplitude.
CHAP. XIII. Having the elevation of the pole, and amplitude of the Sun, to find his declination.
CHAP. XIV. Having the latitude of the place, and the declination of the Sun, to find his height in the Vertical Circle.
CHAP. XV. Having the Latitude of the place, and the distance of the Sun from the next Equinoctial Point, to find his height in the Vertical Circle.
CHAP. XVI. Having the latitude of the place and the declination of the Sun to find the time when the Sun cometh to be due East, or West.
CHAP. XVII. Having the latitude of the Place, and the declination of the Sun, to find his altitude at the hour of six.
CHAP. XVIII. Having the latitude of the place, and the height of the Sun at the hour of six, to find what Azimuth he shall have at the houre of six.
CHAP. XIX. Having the declination of the Sun, to find his Right Ascension.
CHAP. XX. Having the latitude of the place, and the declination of the Sun, to find the ascensional difference.
CHAP. XXI. The Latitude of the place, the Almicanter, and declination of the Sun being given, to find the Azimuth.
CHAP. XXII. The latitude of the place, the declination and altitude of the Sun being given, to find the hour of the day.
THE FIFTH BOOK.
CHAP. I. How to examine a plane for an Horizontal Dial..
CHAP. II. Of the trying of planes, whether they be erect or inclining, and to find the quantity of their inclination.
CHAP. III. To find the Declination of a plane.
CHAP. IV. To draw the hour-lines upon the Horizontal, the full North or South planes, whether erect or inclining.
CHAP. V. To draw a Dial upon a South or North erect declining plane.
CHAP. VI. To draw a Dial upon an East or West inclining plane.
CHAP. VII. To draw a Dial upon a declining inclining plane.
1 To find the inclination of the plane to the Meridian.
2 To find the Meridians ascension and elevation.
3 To find the elevation of the Pole above the plane.
4 To find the inclination of Meridians.
CHAP. VIII. In any erect declining Dial, having the distance of the substile from the Meridian, in a known Latitude, how thereby to get the Cocks elevation, and the declination.
To find the declination.
AN APPENDIX.
CHAP. I. How to describe the Equinoctial, Tropicks, and other parallels of the Suns course or declination, in all kind of planes.
§ 1. In the East, West, and Polar Dials.
§ 2. In the North, South, and Horizontal Dial.
§ 3. In Declining, or Declining Reclining Dials.
CHAP. II. Shewing how to inscribe tho parallels of the length of the day on any plane.
CHAP. III. Shewing how the Italian and Babylonish hours, may be drawn upon all kind of planes.
CHAP. IV. Shewing how the Jewish hours may be drawn upon any plane.
CHAP. V. Shewing how to draw the Azimuths, or Vertical Circles in all kinde of planes.
§. 1 In the Horizontal plane.
§ 2. In the East or West erect planes.
§ 3. In the full North and South erect planes.
§ 4. In erect declining planes.
§ 5. In East and West incliners, and also in North and South incliners declining.
CHAP. VI. Of the Almicanters or Circles of Altitude.
CHAP. VII. How to draw a Dial on the seeling of a Room.
CHAP. VIII. The manner how to put on the parallels of the Signes, Azimuths, Al∣micanters, and other varieties upon a seeling Dial.
COVRTEOVS READER