## Elementary geometry |

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Side 10

The

and equiangular ; that is , when all its

The

**opposite**angles made by two straight lines that intersect are called vertically**opposite**angles . Def . 22 . ... A polygon is said to be regular when it is equilateraland equiangular ; that is , when all its

**sides**and angles are equal . Def . 25 . Side 16

If four lines AO , BO , CO , DO meet at a point 0 , and the angles AOB , COD are

given equal , and also AO , CO are given as being in the same straight line ;

prove that BO and DO , if on

line .

If four lines AO , BO , CO , DO meet at a point 0 , and the angles AOB , COD are

given equal , and also AO , CO are given as being in the same straight line ;

prove that BO and DO , if on

**opposite sides**of AOC , are also in the same straightline .

Side 18

When two of the

often called the base . Def . 33 . The

be ...

When two of the

**sides**of a triangle have been mentioned , the remaining**side**isoften called the base . Def . 33 . The

**side**of a right - angled triangle which is**opposite**to the right angle is called the hypotenuse . Def . 34 . Figures that maybe ...

Side 21

If two triangles have one

angles at the extremities of those

are equal in all respects , those

equal ...

If two triangles have one

**side**of the one equal to one**side**of the other , and theangles at the extremities of those

**sides**equal , each to each , then the trianglesare equal in all respects , those

**sides**being equal which are**opposite**to theequal ...

Side 22

If a triangle is equiangular , it is also equilateral . THEOREM 9 . If any

triangle be produced , the exterior angle will be greater than either of the interior

and

BC ...

If a triangle is equiangular , it is also equilateral . THEOREM 9 . If any

**side**of atriangle be produced , the exterior angle will be greater than either of the interior

and

**opposite**angles . Part . En . Let ABC be a triangle , and let one of its**sides**BC ...

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ABCD adjacent angle ABC angle APB angle BAC base bisect bisector Book called centre chord circle circumference coincide College common Constr construct converse Crown 8vo diagonals diameter difference distance divided double draw drawn Edition ELEMENTARY equal angles Euclid Examples exterior angle extremities fall figure Find follows four Geometry given angle given line given point given straight line greater half Hence Illustrations inscribed interior intersect isosceles triangle Join length less Let ABC line drawn locus magnitudes measure meet middle point minor arc opposite sides parallel parallelogram pass perpendicular placed polygon PROBLEM produced Professor Proof proportional quadrilateral radius ratio rectangle contained rectilineal figure regular required to prove respectively right angles School segment Shew sides similar Similarly square supplementary tangent THEOREM third touch triangle ABC unequal

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