## Elements of Geometry and Trigonometry |

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Page 12

The sign is the sign of equality ; thus , the

The sign is the sign of equality ; thus , the

**expression**A = B , signifies that A is equal to B. To signify that A is ... To signify that A is greater than B , the**expression**A > B is used ; the smaller quantity being always at the ... Page 13

... but this

... but this

**expression**should not be employed , when there is any danger of confounding it with that of the line AB , which expresses the distance between the points A and B. The**expression**Ax ( B + C - D ) represents the product of A ... Page 30

each of its angles will be equal to the third part of two right angles ; so that , if the right angle is

each of its angles will be equal to the third part of two right angles ; so that , if the right angle is

**expressed**by unity , the angle of an equilateral triangle will be**expressed**by . Cor . 6. In every triangle ABC , the exterior ... Page 34

Thus , if A and B represent quantities of the same kind , the ratio of A to B is

Thus , if A and B represent quantities of the same kind , the ratio of A to B is

**expressed**by B A ' The ratios of magnitudes may be**expressed**by numbers , either exactly or approximatively ; and in the latter case , the approximation ... Page 35

In the same manner , the ratio of any other two magnitudes C and D may be

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