## Elements of Geometry and Trigonometry |

### From inside the book

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Page 4

Book II . , on

Book II . , on

**Ratios**and Proportions , has been partly adopted from the Encyclopedia Metropolitana , and will , it is believed , supply a deficiency in the original work . Very considerable alterations have also been made in the manner ... Page 5

**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 , - Problems relating to the Fourth ... 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 . BOOK II . OF

... 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 . Page 34

OF

OF

**RATIOS**AND PROPORTIONS . Definitions . 1.**Ratio**is the quotient arising from dividing one quantity by another quantity of the same kind . Thus , if A and B rep- resent quantities of the same kind , the**ratio**of A to B is ex- B ... Page 35

In the same manner , the

In the same manner , the

**ratio**of any other two magnitudes C and D may be expressed by Px C ' to QxC ' , P and Q being also integral numbers , and their**ratio**will be the same as that of P to Q. 2. If there be four magnitudes A ...### What people are saying - Write a review

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Elements of Geometry and Trigonometry from the Works of A. M. Legendre A. M. Legendre No preview available - 2017 |

### 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