## Euclidian Geometry |

### From inside the book

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**Join**HD .. ( i ) If HD cuts EF . A B E H · EH is = ED , .. LEHD is LEDH ; ( I. 2 ) ( I. 2 ) and . FH is = FD , : . ¿ FHD is = [ FDH ; EHF is the whole △ EDF , ..the whole and .. BAC is : LEDF . ( ii ) If HD passes through one extremity ... Page 11

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**join**CA , CB . Then ABC shall be the equilateral triangle required . and A is the centre of the ·· B is the centre of the ACE , BCD , .. AB is AC , .. AB is = BC , .. AC is BC ; = .. ABC is an equilateral triangle , and it has been ... Page 12

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**Join**AF ; then 4 DAE shall be bisected by AF . L**Join**BF , CF. Then in the As ABF , ACF , BA is CA , BF = CF , and AF is common ; = .. the as ABF , ACF are equal in all respects , ..the BAF is the and CAF , .. DAE has been bisected by ... Page 13

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**Join**CD cutting AB in E ; then AB shall be bisected in E.**Join**AC , CB , BD , DA . Then in the As ACD , BCD , and AC , CD , DA are respectively = BC , CD , DB , ..AS ACD , BCD are equal in all respects , .. LACD is = LBCD . Hence in the ... Page 16

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**Join**AF Then AF shall be 1 to BC .**Join**DF , EF . · DA is = EA , DF = EF , and AF common to the two AS DAF , EAF , .. these as are equal in all respects ; .. L DAF is = LEAF , .. AF is to BC . ( I. 5 ) ( Def . ) PROPOSITION VIII . From ...### 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