## Euclidian Geometry |

### From inside the book

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**Let**ABC be an isosceles △ , having the side AB = the side AC , = the A ACB ; then shall the △ ABC be L also**let**the equal sides AB , AC be produced to G ,**H**; then shall -GBC be = L - HCB . B For if the figure were taken up , re ... Page 8

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**Let**the sides AB , BC , CA of the △ ABC be respec- tively equal to the sides DE , EF , FD of the △ DEF . Then ...**H**. Join HD .. ( i ) If HD cuts EF . Ꭺ D B E ·· EH is = ED , : . LEHD is = LEDH ; ( 1. 2 ) and FH is = FD , .. the whole ... Page 14

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**Let**two intersecting straight lines form the four angles A , B ,**H**, K. Then shall the opposite angles A , B be one another . = For if the figure were taken up , reversed , and placed so that each of the arms of**H**might fall along the ... Page 17

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**Let**ABC , GHK be two right angles , and**let**the △ ABC be applied to the △ GHK , so that B may fall on**H**, and BC along HK , then will BA fall along HG . For if it fell in any other direction , as HX , then from**H**there would be drawn ... Page 31

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**Let**BAC be the given angle . M It is required at the point D in DE to make an △ △ BAC . With centre A describe a circle cutting AB , AC in F and G ; and with centre D describe an equal circle HKM cutting DE in**H**. Join FG ; with centre**H**...### 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