: MISCELLANEA CURIOSA こ MATHEMATICA: OR, THE Literary Correfpondence of some eminent Mathemati- CONTAINING A choice COLLECTION of Mathematical ESSAYS and DISSERTA- A curious Collection of 160 new PROBLEMS, with their Solutions, VOLUME I. Rес во Illustrated with COPPER PLATES. LONDON: Printed for EDWARD CAVE, at St John's Gate, and fold by M,DCC,XLIX. 29 Jar.24.W Clumber-Park, in the County of Nottingham, Efq; SIR, T HIS collection of mathematical disquisitions, which I have now the honour to present to You, is designed to render the mathematics more familiar and intelligible, and to bring this part of learning into a narrower compass, and so leave more room for cultivating the mind with moral knowledge and virtue. I esteem it no ordinary happiness, that I have leave, under your patronage and protection, to offer to the publick the following sheets, the subject whereof is pure mathematics, a science highly valuable, and always thought worthy the confideration of the greatest perfonages, since we may from it learn to form and establish a system of wife laws, and cultivate a divine philosophy. I am sensible the imperfections, which your penetration will discover, in the method I have undertaken, and the management of this collection, might well difcourage an address of this nature; but I know You have more inclination to excuse than cenfure, (and that your 111 DEDICATΙΟΝ. your Love of mankind, and defire of PUBLIC GOOD, will contribute some afsurance to a well meant endeavour. In an useful diftinction in life, You have added a new glory, by making a bold and noble stand for LIBERTY, and the conftitution, in a particular crisis, when the proud infolency of rebellion was breaking into this county. The public ftation and high trusts, which you have long filled, and still enjoy under the most noble the Duke of NEWCASTLE, You acquit with equal capacity and fidelity, and daily give unquestionable proofs of your friendship and benevolence to all mankind in general. Allow me, Sir, before I conclude this address, to return you my thanks for a long feries of favours; favours I am no otherwise able to requite than by a grateful remembrance, and which could only flow from a benevolent heart. ! CONTENTS. F the proportion of velocity and forces of body in motion; by Dr. Clark Page I A table of times when the paths of the Satellites of Jupiter and Sa- * turn become convex toward the Sun, and a method proposed for de- monstrating the Earth's motion, and investigating the parallaxes The demonstration of four theorems for determining accurately the Sun's parallax; by Mr N. Facio, F, R. S. An univerfal spherico-catoptric theorem, translated from the Latin; - A theorem on increments, with Dr Taylor's demonstration Tables of annuities, founded on the bills of mortality for London; by An essay to find the Sun's horizontal parallax by the tranfit of Ve- nus over the Sun's disk, in the year 1761; by Mr Findley 25 A new method to find the length of the Earth's shadow beyond the Moon, and also to find the Sun's distance from the Earth, in The demonstration of four theorems, with regard to the Sun's paral- Tables of chances for any number of points thrown with 1, 2, 3, &c. to 12 dice inclusive, and the method of computation; by Mr R. Gib- 8г |