## Euclidian Geometry |

### From inside the book

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**sides**will never meet however far they may be 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 ... Page 4

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**sides**and the included angle of one triangle be respectively equal to two**sides**and the included angle of another triangle , the triangles shall be equal in all respects . D B In the AS ABC , DEF , K E let the two**sides**AB , AC be ... Page 5

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**sides**equal . PROPOSITION II . The angles at the base of an isosceles triangle are equal ; and if the equal**sides**be produced , the angles on the other**side**of the base shall be equal . Let ABC be an isosceles △ , having the**side**AB = the ... Page 6

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**side**of another triangle , then shall the triangles be equal in all respects . B E In the As ABC , DEF , let the s ABC , ACB and the adjacent**side**BC be respectively equal to the s DEF , DFE and the adjacent**side**EF . Then shall the ... Page 7

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**sides**opposite to those angles are equal . B Let ABC be a triangle , having the ABC- the then shall the**side**AC be = ACB , the**side**AB . For if the ABC be taken up , reversed , and applied to the former position of BC and on the same**side**...### 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