## Elements of Geometry and Trigonometry |

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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 , 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 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 . BOOK I. 33. 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 represent quantities of the same kind , the**ratio**of A to B is expressed by ... 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 PxC ' to Q × C ' , 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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### 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