Euclid's ELEMENTS

OF

GEOMETRY,

From the Latin

Translation of COMMANDINE.

To which is added,
A TREATISE of the Nature and Arithmetick

of LOGARITHMS; Likewise
Another of the ELÉMENTS of Plain and

Spherical TRIGONOMETRY; With
A PREFACE, shewing the Usefulness and Excellency

of this WORK:

By Doctor JOHN KEIL, F. R. S.
and late Profeñor of ASTRONOMY in Oxford.

Now done into ENGLISH.

The Whole revis'd; where deficient, supplied; where

loft or corrupted, restord. Also
Many Faults committed by Dr. Harris, Mr. Cafwel,

Mr. Heynes, and other Trigonometrical Writers, aré
shewn; and in those Cases where They are mistaken,

here are given Solutions Geometrically true.
A more Ample Account of which may be seen in

Mr.Cunn's PREFACE.

By Mr. SAMUEL CUNN.

LONDON:
Printed for Tho. WOODWARD at the Half-Mcon, over-
against St.Dunstan's Churchin Fleet-Street. MDCCXXIII.

aad. & d.

Dr. K E I L's PREFACE.

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YOUNG Mathematician may be surprized, to see the old obsolete Elements of Euclid appear afresh in Print ; and thåt too

after so many new Elements of Geometry, as have been lately publisk'd; especially since those who gavė us the Elements of Geometry, in a neto Manner, would have us believe they have detected a great many Faults in Euclid. These acute Philosophers, pretend to have discover'd that Euclid's Definitions are not

perspicuous enough; that his Demonstra. tions are scarcely evident ; that his whole

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Elements