## Euclidian Geometry |

### From inside the book

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**respectively**equal to two sides and the included angle of another triangle , the triangles shall be equal in all respects . D B In the AS ABC , DEF , K E let the two sides AB , AC be**respectively**equal to DE , DF , △ BAC = △ EDF ; and ... Page 6

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**respectively**equal to two angles and the adjacent side of another triangle , then shall the triangles be equal in all respects . B E In the As ABC , DEF , let the s ABC , ACB and the adjacent side BC be**respectively**equal to the s DEF ... Page 8

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**respectively**equal to the three sides of another , the triangles shall be equal in all respects . Let the sides AB , BC , CA of the △ ABC be respec- tively equal to the sides DE , EF , FD of the △ DEF . Then shall the As ABC , DEF be ... Page 9

... = LEDF . Thus in any case the L BAC is = L EDF , also BA , AC are

... = LEDF . Thus in any case the L BAC is = L EDF , also BA , AC are

**respectively**= ED , DF ; ..AS ABC , DEF are equal in all respects . ( Prop . 1. ) Note . - Propositions I , III , and V STRAIGHT LINEs , angles and TRIANGLES . 9. Page 13

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**respectively**= BC , CD , DB , ..AS ACD , BCD are equal in all respects , ..LACD is = L BCD . Hence in the As ACE , BCE , ( 1.5 ) AC , CE and the included ACE are**respectively**= BC , CE and the included △ BCE ; ... AS ACE , BCE are ...### 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