## Elementary geometry |

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Resultat 6-10 av 67

Side 47

... angle ABC , ( Th . 22 . ) and the angle ACH = the alternate angle BAC ; ( Th . 22

. ) . : : the whole angle ACD = the two angles ABC + BAC . Again , if ACB be

added to these , the Sect . III . ) PARALLELS AND

... angle ABC , ( Th . 22 . ) and the angle ACH = the alternate angle BAC ; ( Th . 22

. ) . : : the whole angle ACD = the two angles ABC + BAC . Again , if ACB be

added to these , the Sect . III . ) PARALLELS AND

**PARALLELOGRAMS**. 47. Side 49

32 . Cor . I . * Euclid , 1 . 32 . Cor . 2 SECT . III . ) PARALLELS AND

32 . Cor . I . * Euclid , 1 . 32 . Cor . 2 SECT . III . ) PARALLELS AND

**PARALLELOGRAMS**. 49. Side 50

The adjoining angles of a

angles are equal . - 760 Part . En . Let HBGE be a

EG be respectively parallel to BG , BH ; ( Def . 37 . ) it is required to prove that its ...

The adjoining angles of a

**parallelogram**are supplementary and the oppositeangles are equal . - 760 Part . En . Let HBGE be a

**parallelogram**; that is , let HE ,EG be respectively parallel to BG , BH ; ( Def . 37 . ) it is required to prove that its ...

Side 51

I . Hence if one of the angles of a

right angles . Cor . 2 . If two straight lines are respectively parallel to two other

straight lines they will include equal angles towards the same parts . Def . 40 .

I . Hence if one of the angles of a

**parallelogram**is a right angle , all its angles areright angles . Cor . 2 . If two straight lines are respectively parallel to two other

straight lines they will include equal angles towards the same parts . Def . 40 .

Side 52

Hence if the adjacent sides of a

Def . 41 . A

. A square is a rectangle that has all its sides equal . THEOREM 29 .

Hence if the adjacent sides of a

**parallelogram**are equal , all its sides are equal .Def . 41 . A

**parallelogram**all whose sides are equal is called a rhombus . Def . 42. A square is a rectangle that has all its sides equal . THEOREM 29 .

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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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