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Author: Oughtred, William, 1575-1660.
Title: The circles of proportion and the horizontal instrument. The former shewing the maner how to work proportions both simple and compound: and the ready and easy resolving of quæstions both in arithmetic, geometrie, & astronomie: and is newly increased with an additament for navigation. All which rules may also be wrought with the penne by arithmetic, and the canon of triangles. The later teaching how to work most quæstions, which may be performed by the globe: and to delineat dialls upon any kind of plaine. Invented, and written in latine by W.O. Translated into English, and set out for the public benefit, by William Forster.
Publication info: Ann Arbor, Michigan: University of Michigan, Digital Library Production Service
2011 December (TCP phase 2)
Availability:

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Print source: The circles of proportion and the horizontal instrument. The former shewing the maner how to work proportions both simple and compound: and the ready and easy resolving of quæstions both in arithmetic, geometrie, & astronomie: and is newly increased with an additament for navigation. All which rules may also be wrought with the penne by arithmetic, and the canon of triangles. The later teaching how to work most quæstions, which may be performed by the globe: and to delineat dialls upon any kind of plaine. Invented, and written in latine by W.O. Translated into English, and set out for the public benefit, by William Forster.
Oughtred, William, 1575-1660., Forster, William,, oughtred, William, 1575-1660.

London: Printed by Augustine Mathewes, and are to bee sold by Nic: Bourne at the Royall Exchange, 1633.
Notes:
W.O. = William Oughtred.
Another issue, with cancel letterpress title page, of STC 18899: The circle of proportion, and the horizontall instrument.
Translated by William Forster from the original Latin.
The "additament" also published separately as STC 18899c: An addition unto the use of the circles of proportion.
Reproduction of the original in the Bodleian Library.
Subject terms:
Mathematical instruments -- Early works to 1800.
Navigation -- Early works to 1800.
URL: http://name.umdl.umich.edu/A08582.0001.001

Contents
title page
TO THE HONOVRABLE AND RENOWNED FOR vertue, learning, and true valour, Sir KENELME DIGBYE Knight.
illustration
THE FIRST PART OF THIS BOOKE, Shewing the vse of the First side of the Instrument, for the working of Pro∣portions both simple and compounded, and for the ready and easie resolving of que∣stions both in Arithmetique, Geometrie, and Astronomie, by Calcu∣lation.
CHAP. I. Of the Description, and vse of the Circles in this First side.
CHAP. II. Of the Operation of the Rule of Proportion: and also of Multiplication, and Division.
CHAP. III. Now follow certaine examples of Proportion.
Of Continuall proportion, Or of Pro∣gression Geometricall.
CHAP. V. Of the Quadrating, and Cubing of Numbers, Sides or Rootes: and of the Extraction of the Quadrate, and Cubic side, or roote, out of Numbers, or Powers given.
CHAP. VI. Of Duplicated, and Triplicated pro∣portion. And first of Duplicated proportion.
Of Triplicated proportion.
CHAP. VII. Concerning the Measuring of Circles, Cones, Cylinders, and Sphaeres.
In a Circle.
In a Cone.
In a Cylinder.
In a Sphaere.
CHAP. VIII. Concerning Plaine, and Solide Measures.
Of Plaine measures.
Of Solid measures.
CHAP. IX. Concerning the Measuring, or Gauging of Vessells.
CHAP. X. Concerning the Comparison of sundry Metals, in quantity and weight.
CHAP. XI. Concerning the Ordering of Soldiers, in any kinde of rectangular forme of battaile.
CHAP. XII. A collection of the most necessarie Astronomicall operations,
In Starres of the Northerne latitude
In Starres of the Southerne latitude
CHAP. XIII. Of Trigonometria, or the manner of calcu∣lating both Plaine, and Sphaericall tri∣angles. And first concerning certaine ge∣nerall notions, and rules necessary thereto.
THE CALCVLATION OF PLAINE right-angled-triangles.
THE CALCVLATION OF Sphaericall right-angled, and quadrantall triangles.
Of Sphaericall Oblique-angled triangles.
CHAP. XIIII. Of the Nocturnall Dials.
To finde out the houre of the night by Aliot.
To finde out the houre of the night by the Inner Nocturnall Dyall.
THE SECOND PART OF THIS BOOKE.
dials
The Translator to the Reader.