## Euclidian Geometry |

### From inside the book

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**figure**whose opposite sides are equidistant . Again , Euclid's treatment of ratio and proportion is objected to as ...**figures**by contemplating their homologous sides and then calculating their duplicate ratio . In order to make the ... Page 4

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**figure**contained by three straight lines . PROPOSITION I. If two 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 ... Page 5

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**figure**were taken up , re- versed , and then applied to its former position so that A. might fall on its former position and ABG along that of ACH ; then would ACH fall along that of ABG ; also B would fall on that of C , · . · AB is ... Page 10

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**figure**contained by one line called . the circumference , and is such that all straight lines drawn from a certain point within the**figure**to the circumference are equal . That point is called the centre of the circle , and those ... Page 14

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**figure**were taken up , reversed , and placed so that each of the arms of H might fall along the former position of the other arm ; then each of these lines produced would fall along the former position of the other . Thus the arms of A ...### 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