## Euclidian Geometry |

### From inside the book

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**base**of an isosceles triangle are equal ; and if the equal sides be produced , the angles on the other side of the**base**shall be equal . Let ABC be an isosceles △ , having the side AB = the side AC , = the A ACB ; then shall the △ ABC ... Page 28

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**base**of that which has the greater angle be greater than the**base**of the other . D I In the two As ABC , DEF , let AB , AC be respectively equal to DE , DF , but the BAC be > the △ EDF , then shall BC be > EF . Place the △ ABC so that ... Page 29

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**base**of one greater than the**base**of the other ; then the angle contained by the sides of that triangle which has the greater**base**shall be greater than the angle contained by the sides equal to them of the other . D B E Let ABC , DEF ... Page 51

... 27 ) . .. all the 4s of AK are rights ; .. the AK is both equilateral and rectangular , and is .. a square . AREAS . PROPOSITION XXXI . Parallelograms on the same

... 27 ) . .. all the 4s of AK are rights ; .. the AK is both equilateral and rectangular , and is .. a square . AREAS . PROPOSITION XXXI . Parallelograms on the same

**base**4-2 QUADRILATERALS AND MULTILATERALS . 5I PROBLEM K. ... Page 52

Francis Cuthbertson (M.A.). AREAS . PROPOSITION XXXI . Parallelograms on the same

Francis Cuthbertson (M.A.). AREAS . PROPOSITION XXXI . Parallelograms on the same

**base**and between the same parallels are equal . A B D E F A E D F с B C Let the s ABCD , EBCF be on the same**base**BC , and between the same parallels AF ...### Other editions - View all

### Common terms and phrases

Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex