## 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 , and L BAC = LEDF ... 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 In the As ABC , DEF , let the 4s 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

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

... is = LEDF . Thus in any case the L BAC is = LEDF , 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 = LBCD . Hence in the As ACE , BCE , ( 1.5 ) AC , CE and the included △ ACE are**respectively**= BC , CE and the included 4 BCE ; ..AS ACE , BCE are ...### Other editions - View all

### Common terms and phrases

applied base bisect Cambridge centre chapter chord circle circumference cloth College common complete contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure Find former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reader rect rectangle rectilineal respectively revised right angles Schools Second Edition segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole