## Euclidian Geometry |

### From inside the book

Results 1-5 of 42

Page 2

... 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

... 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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**impossible**. It is evident that Magnitudes which may be made to coincide , i.e. exactly fill the same space , are equal to one another . If two angles can be so placed that their vertices coincide and the arms of one fall along the arms ... Page 4

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**impossible**; SO .. BC is EF . = Also the △ ABC will coincide with and is ... = △ DEF , LABC will coincide with and is .. = △ DEF ; LACB is LDFE . Hence the As ABC , DEF are equal in all respects . DEFINITION . An isosceles triangle ... Page 17

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**impossible**. .. from a given point in a given straight line there cannot be drawn more than one straight line 1 to it . COR . All right angles are equal to one another . B CH K Let ABC , GHK be two right angles , and let the ABC be ... Page 19

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**impossible**. ( hyp . ) ... no other straight line than BD is in the same straight line with BC ; .. BD is in the same straight line with BC . PROPOSITION XI . It is always possible to draw a 2-2 RIGHT ANGLES . 19 PROPOSITION X. ...### 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