## Euclidian Geometry |

### From inside the book

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**extremities**of lines are points . A straight line is one which lies evenly between its**extremities**. It is taken for granted : That a straight line may be drawn from any one point to any other point ; And also that a terminated straight ... Page 2

... might be turned about its

... 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

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**extremity**A towards the side on which OQ is , so as to cut OQ and also OP . Thus two straight lines would enclose a space , which is impossible . It is evident that Magnitudes which may be made to coincide , i.e. exactly fill the same ... Page 8

... .. 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

... .. 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 passes through one

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 ...### 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