## Elements of Geometry and Trigonometry |

### From inside the book

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Page 4

The propo- sition in Book V. , which proves that a polygon and circle may be made to coincide sò nearly , as to differ from each other by less than any assignable quantity , has been

The propo- sition in Book V. , which proves that a polygon and circle may be made to coincide sò 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 B A D A B -F 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 trian- gle BAC , and let the lines OB , OC , be drawn to the extremities of either side , as BC ; then will OB + OC < BA + AC . Let BO be produced till it meets the side AC in D : then the line ...### 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