## Euclidian Geometry |

### From inside the book

Results 1-5 of 77

Page vi

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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 7

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**sides**opposite to those angles are equal . B Let ABC be a triangle , having the ABC = the ACB , = the**side**AB . then shall the**side**AC be For if the ABC be taken up , reversed , and applied . to the former position of BC and on the same ... Page 8

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**sides**of another , the triangles shall be equal in all respects . Let the**sides**AB , BC , CA of the △ ABC be respec- tively equal to the**sides**DE , EF , FD of the △ DEF . Then shall the as ABC , DEF be equal in all respects . Suppose ...### Other editions - View all

### Common terms and phrases

applied base bisect Cambridge centre chapter chord circle circumference cloth College common complete contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure Find former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reader rect rectangle rectilineal respectively revised right angles Schools Second Edition segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole