## Elements of Geometry and Trigonometry |

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Page 2

1834 ENTERED according to the Act of Congress , in the year one thousand eight hundred and thirty -

1834 ENTERED according to the Act of Congress , in the year one thousand eight hundred and thirty -

**four**, by CHARLES DAVIES , in the Clerk's Office of the Dis- trict Court of the United States , for the Southern District of New - York ... Page 10

The polygon of three sides , the simplest of all , is called a triangle ; that of

The polygon of three sides , the simplest of all , is called a triangle ; that of

**four**sides , a quadrilateral ; that of five , a pentagon , that of six , a hexagon ; that of seven , a heptagon ; that of eight , an octagon ; that of ... Page 16

The

The

**four**angles formed about a point by two straight lines , which intersect each other , are together equal to**four**right angles : for the sum of the two angles ACE , ECB , is equal to two right angles ; and the sum of the other two ... Page 27

We see that of the eight angles formed by a line cutting two parallel lines obliquely , the

We see that of the eight angles formed by a line cutting two parallel lines obliquely , the

**four**acute angles are equal to each other , and so also are the**four**obtuse angles . PROPOSITION XXI . THEOREM . If a straight line meet two ... Page 30

... are triangles in the figure ; in other words , as there are units in the number of sides diminished by two . Cor . 1. The sum of the angles in a quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to

... are triangles in the figure ; in other words , as there are units in the number of sides diminished by two . Cor . 1. The sum of the angles in a quadrilateral is equal to two right angles multiplied by 4-2 , which amounts to

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### 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