## Elements of Geometry and Trigonometry |

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Page 10

When a straight line AB meets another straight line CD , so as to make the

When a straight line AB meets another straight line CD , so as to make the

**adjacent**angles BAC , BAD , equal to each other , each of those angles is called a right angle ; and the line AB is said to be perpendicular to CD . 11. Page 11

A diagonal is a line which joins the vertices of two angles not

A diagonal is a line which joins the vertices of two angles not

**adjacent**to each other . Thus , AF , AE , AD , AC , are diagonals . A T 19. An equilateral polygon is one which has all its sides equal ; an equiangular polygon , one which ... Page 14

If one straight line meet another straight line , the sum of the two

If one straight line meet another straight line , the sum of the two

**adjacent**angles will be equal to two right angles . E Let the straight line DC meet the straight line AB at C , then will the angle ACD + the angle DCB , be equal to ... Page 15

If a straight line meet two other straight lines at a common point , making the sum of the two

If a straight line meet two other straight lines at a common point , making the sum of the two

**adjacent**angles equal to two right angles , the two straight lines which are met , will form one and the same straight line . Page 22

But if the

But if the

**adjacent**angles BCA , BCF , are together equal to two right angles , ACF must be a straight line ( Prop . III . ) : from whence it follows , that between the same two points , A and F , two straight lines can be drawn , which ...### What people are saying - Write a review

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### Other editions - View all

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 produced 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