## Euclidian Geometry |

### From inside the book

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**produced**in either direction , but rather that of a figure whose opposite sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as being only adapted to the grasp of the advanced geometrician ; one of ... Page 5

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**produced**, the angles on the other side of the base shall be equal . 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 ... Page 14

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**produced**would fall along the former position of the other . Thus the arms of A would fall along the former positions of the arms of B ; .. the angles A , B are equal to one another . " Similarly the angles H , K may be proved equal . L ... Page 15

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**producing**one of its arms FE is the adjacent △ FEL formed by**producing**the other arm . = K other , For they are opposite angles . if an angle one of its adjacent angles it is also the = = ..if one straight line is 1 to another , the ... Page 18

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**produce**CB to X. Then all the 4S ABC , CBF , FBG , GBA are equal to thes on one side of CBX together with the s on the other side of CBX , and are .. four rights . PROPOSITION X. If two straight lines , drawn from one 18 RIGHT ANGLES .### 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