## Elements of Geometry and Trigonometry |

### From inside the book

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 . E PROPOSITION XXI . THEOREM . If a straight line meet two ... Page 30

... 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

... 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

**four**right ... Page 31

right angles : hence , if all the angles of a quadrilateral are equal , each of them will be a right angle ; a conclusion which sanctions the seventeenth Definition , where the

right angles : hence , if all the angles of a quadrilateral are equal , each of them will be a right angle ; a conclusion which sanctions the seventeenth Definition , where the

**four**angles of a quadrilateral are asserted to be right ...### 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