## Elements of Geometry and Trigonometry |

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Page 4

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

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 10

Angles , like all other

Angles , like all other

**quantities**, are susceptible of addition , subtraction , multiplication , and division . Thus the angle DCE is the sum of the two angles DCB , BCE ; and the angle DCB is the difference of the two A angles DCE ... Page 12

To signify that A is greater than B , the expression A > B is used ; the smaller

To signify that A is greater than B , the expression A > B is used ; the smaller

**quantity**being always at the vertex ... Thus , A + B , represents the sum of the**quantities**A and B ; A - B represents their difference , or what remains ... Page 13

A number placed before a line , or a

A number placed before a line , or a

**quantity**, serves as a multiplier to that line or**quantity**; thus , 3AB signifies that the line AB is taken three times ; A signifies the half of the angle A. The square of the line AB is designated ... Page 34

Ratio is the quotient arising from dividing one

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 B A ' The ratios of magnitudes may be ...### 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