## Elements of Geometry and Trigonometry |

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Page 4

The propo- sition in

The propo- sition in

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

**BOOK**I. The principles ,**BOOK**II . Ratios and Proportions , 34**BOOK**III . The Circle and the Measurement of Angles , Problems relating to the First and Third**Books**,**BOOK**IV . The Proportions of Figures and the Measurement of Areas ... Page 7

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

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

**BOOKS**OF EUCLID . Euclid . Legendre . Euclid . Legendre . Euclid . Legendre .**Book**I.**Book**I. Cor.2 . of 32 Prop . 27 Prop . Page 8

Adrien Marie Legendre Charles Davies. ) ELEMENTS OF GEOMETRY .

Adrien Marie Legendre Charles Davies. ) ELEMENTS OF GEOMETRY .

**BOOK**I. THE PRINCIPLES . Definitions. 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 . 5**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 construction contained corresponding cosine Cotang cylinder described diameter difference distance divided draw drawn equal equation equivalent evident expressed extremities fall figure follows formed formulas four frustum give given gles greater half hence homologous included inscribed intersection less likewise logarithm manner means measured meet middle multiplied opposite parallel parallelogram parallelopipedon pass perpendicular plane polygon prism PROBLEM Prop proportional PROPOSITION pyramid quantities radii radius ratio reason rectangle regular remaining right angles Scholium segment shown sides similar sine solid solid angle sphere spherical triangle square straight line Suppose surface taken tang tangent THEOREM third triangle triangle ABC vertex whole