## Euclidian Geometry |

### From inside the book

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Page vi

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**meet**. This is of great consequence , as the leading idea in connection with straight lines called parallel is that suggested by the literal meaning of the word : thus the conception of a paral- lelogram is not that of a figure whose ... Page 9

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**meet**EF . A D E H and · . · EH is = ED , = ... FH is FD , L EHD is = L EDH ; ..L FHD is = L FDH ; • . L EHF is = 2 EDF , ( 1.2 ) ( I. 2 ) and ..L BAC is = LEDF . Thus in any case the L BAC is = LEDF , also BA , AC are respectively = ED ... Page 27

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**meet**the side AC in E. Then BA and AE are together greater than BE ; add to each EC ; ( 1. 16 ) .. BA and AC are together greater than BE and EC . Again , DE and EC are together greater than DC ; add to each BD ; ( 1. 16 ) .. BE and EC ... Page 28

... . Much more then is EFQ > LEQF ; .. EQ is > EF ; i.e. BC is > EF . Let EQ pass through F. A D ( 1.2 ) ( 1. 15 ) E Then it is evident that EQ is > EF . i.e. BC is > EF . 3rd . Let EQ not

... . Much more then is EFQ > LEQF ; .. EQ is > EF ; i.e. BC is > EF . Let EQ pass through F. A D ( 1.2 ) ( 1. 15 ) E Then it is evident that EQ is > EF . i.e. BC is > EF . 3rd . Let EQ not

**meet**DF . A A 28 INEQUALITIES . Page 29

Francis Cuthbertson (M.A.). 3rd . Let EQ not

Francis Cuthbertson (M.A.). 3rd . Let EQ not

**meet**DF . A A Then . EQ , QD are together > EF , FD , ( 1. 17 ) and QD is = FD ; .. EQ is EF , i.e. BC is > EF . PROPOSITION XIX . If two triangles have two sides of the one equal to two sides ...### 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