## 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 quantity , has been

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

If the lines are straight , the space they enclose is called a rectilineal figure , or polygon , and the lines themselves ,

If the lines are straight , the space they enclose is called a rectilineal figure , or polygon , and the lines themselves ,

**taken**together , form the contour , or perimeter of the polygon . B A B -I D -B 14. The polygon of three sides ... Page 12

Thus , A + B , represents the sum of the quantities A and B ; A - B represents their difference , or what remains after B is

Thus , A + B , represents the sum of the quantities A and B ; A - B represents their difference , or what remains after B is

**taken**from A ; and A - B + C , or A + C - B , signifies that A and C are to be added together , and that B is ... Page 13

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

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 18

Let any point , as O , be

Let any point , as O , be

**taken**within the triangle BAC , and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC . PROPOSITION VIII . THEOREM . If from any point within a triangle ...### 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