## Elements of Geometry and Trigonometry |

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Page 4

The proposition in

The proposition in

**Book**V. , which proves that a polygon and circle may be made to coincide so nearly , as to differ from each other by less than any assignable quantity , has been taken from the Edinburgh Encyclopedia . Page 5

Ratios and Proportions ,

Ratios and Proportions ,

**BOOK**III . The Circle and the Measurement of Angles , Problems relating to the First and Third**Books**,**BOOK**IV . Planes and Solid Angles , Polyedrons , 400mm The Proportions of Figures and the Measurement of ... Page 7

SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX

SHOWING THE PROPOSITIONS OF LEGENDRE WHICH CORRESPOND TO THE PRINCIPAL PROPOSITIONS OF THE FIRST SIX

**BOOKS**OF EUCLID . Euclid .**Book**I. Prop . Cor . of Cor . 1 . & 2 . ~ 4 Prop . 5 Legendre .**Book**I. 5 11 5 Cor . of 11 6 12 8 10 13 14 ... Page 17

... converse of this proposition is also true , namely , that two triangles which have all the parts of the one equal to the parts of the other , each B * to each , are equal ; for they may be

... converse of this proposition is also true , namely , that two triangles which have all the parts of the one equal to the parts of the other , each B * to each , are equal ; for they may be

**BOOK**I. 17. Page 33

... and are therefore equal : whence it follows that the angles AEB , BEC , are equal , and therefore , that the two diagonals of a rhombus cut each other at right angles .

... and are therefore equal : whence it follows that the angles AEB , BEC , are equal , and therefore , that the two diagonals of a rhombus cut each other at right angles .

**BOOK**II . OF RATIOS AND PROPORTIONS . Definitions .**BOOK**I. 33.### What people are saying - Write a review

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### Common terms and phrases

ABCD adjacent altitude base become Book called centre chord circle circumference circumscribed common cone consequently contained Cosine Cotang cylinder described determine diameter difference distance divided draw drawn equal equations equivalent expressed extremities faces feet figure follows formed four frustum give given gles greater half hence homologous hypothenuse included inscribed intersection less let fall logarithm manner means measured meet middle multiplied number of sides opposite parallel parallelogram pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quadrant quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment sides similar Sine solid solid angle sphere spherical triangle square straight line suppose taken Tang tangent THEOREM third triangle triangle ABC unit vertex whole