## Euclidian Geometry |

### From inside the book

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Page 2

... might be turned about its extremity A , towards the side on which BH is , so as to cut BH ; and thus two straight lines would enclose a space , which is impossible . Hence it follows that If two straight lines

... might be turned about its extremity A , towards the side on which BH is , so as to cut BH ; and thus two straight lines would enclose a space , which is impossible . Hence it follows that If two straight lines

**pass**through 2 INTRODUCTION . Page 3

Francis Cuthbertson (M.A.). Hence it follows that If two straight lines

Francis Cuthbertson (M.A.). Hence it follows that If two straight lines

**pass**through the same point they will coincide entirely or cut one another . For if not , if possible let them fall otherwise as AOB , POQ having a common point O ... Page 8

... = 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

... = 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 of 8 STRAIGHT LINES , Angles and triangles . Page 9

Francis Cuthbertson (M.A.). ( ii ) If HD

Francis Cuthbertson (M.A.). ( ii ) If HD

**passes**through one extremity of EF as F. A H EH is = ED , .. ¿ EHD is : = LEDH ; and .. BAC is = ¿ EDF . ( 1. 2 ) ( iii ) If HD does not meet EF . A D E H and · . · EH is = ED , = ... FH is FD , L ... Page 28

... . ' . > △ EQF . Much more then is EFQ > LEQF ; .. EQ is > EF ; i.e. BC is > EF . Let EQ

... . ' . > △ EQF . 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 .### 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