## Euclidian Geometry |

### From inside the book

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Page xvi

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**whole**is equal to the sum of its parts . If equals be added to equals the wholes are equal . If equals be taken from equals the remainders are equal . If equals be added to unequals the wholes are unequal . If equals be taken from ... Page 8

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**whole**.. EHF is the**whole**△ EDF , L FHD is = L FDH ; ( I. 2 ) and ... BAC is = LEDF . ( ii ) If HD passes through one extremity of 8 STRAIGHT LINES , ANGLES AND TRIANGLES . Page 42

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**whole**ACK is the two angles ABC , BAC together . Now to each of these equals add the ACB ; = .. the two angles ACK , ACB are together the three s of the △ ABC ; but the two angles ACK , ACB are together two right 4 s ; .. the threes of ... Page 44

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**whole**△ ABC is = the**whole**△ ADC . Also . ABD , LADB , and the side BD , are re- spectively = CDB , △ CBD , and side BD ; ( 1. 3 ) 1 .. △ s ABD , CDB are equal in all respects ; .. AB , AD , and △ BAD are respectively = CD , CB ... Page 56

... ( I. 26 ) .. ASGQ is ARGQ , and APQK = △ NQK ; = ... AS SGQ , PQK are together s but the

... ( I. 26 ) .. ASGQ is ARGQ , and APQK = △ NQK ; = ... AS SGQ , PQK are together s but the

**whole**△ FGK is = as RGQ , NQK ; the △ HGK ; ..the remainder FQ is the remainder QH . PROPOSITION XXXV . In any right - angled triangle , 56 AREAS ,### 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