## Euclidian Geometry |

### From inside the book

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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 2 . INTRODUCTIO UCTION . 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 AABC 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 is ... 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 К 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

Algebra base Cambridge centre chord circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater H Let Hence inscribed intersecting isosceles triangle Latin Let ABC line bisecting locus Mathematical meet opposite angles Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively rhombus right angles Schools Second Edition segment similar Similarly squares on AC straight line drawn straight line joining tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex