## Euclidian Geometry |

### From inside the book

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**fall**otherwise as AOB , POQ having a common point O. P A Q B Then AOB might be turned about one extremity A towards the side on which OQ is , so as to cut OQ and also ОР . Thus two straight lines would enclose a space , which is ... Page 4

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**fall**on E , and C will**fall**on F , AB is = DE , AC is = DF ; .. BC will coincide with EF . For if it fell otherwise , as EKF , then two straight lines . would enclose a space , which is impossible ; SO .. BC is = EF . Also the AABC will ... Page 5

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**fall**along that of ABG ; also B would**fall**on that of C , · . · AB is = AC , and C on that of B for the same reason , .. BC would coincide with its former position . H Thus AB , BC would**fall**on the former positions of AC , CB ... Page 6

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**fall**on EF ; then will BA**fall**along ED , . LABC is = L DEF , and CA will**fall**along FD , . LACB is = LDFE ; .. the point A will**fall**on the point D , .. the triangle ABC will coincide with the △ DEF , and is .. equal to it in all ... Page 7

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**fall**on the former position of B and B on that of C ; then will CA**fall**along that of BA , · . · • △ ABC is = LACB , and BA along that of CA for the same reason ; .. A will**fall**on its former position , and .. AC will coincide exactly ...### 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