## Euclidian Geometry |

### From inside the book

Results 1-5 of 29

Page vi

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**applied**. The method given possesses the combined advantages of being rigorous , geo- metrical , simple and short . The terms duplicate ratio and compound ratio have been relegated to the Supplement , there placed for the benefit of ... Page xiv

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**applied**. With regard to Euc . I. 29 , 30 . Proofs allowed . Proofs of Euclid or others depending on previous pro- positions of Euclid . In the proofs sent up ( if not Euclid's Book V. ) the Definitions and Enunciations of previous ... Page 3

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**applied**to its former position , so that A fell on its former position and AC along that of AB ; then would AB fall along that of AC . STRAIGHT LINES , ANGLES AND TRIANGLES . DEFINITION . A I - 2 INTRODUCTION . 3 Hence it follows that ... Page 4

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**applied**to the A DEF so that A may fall on D , and the straight lines AB , AC along DE , DF ; then B will fall on E , · . · AB is = DE , and C will fall on F , ... AC is = .. BC will coincide with EF . DF ; For if it fell otherwise , as ... Page 5

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**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 = AC , and Con that of B for the same reason ...### 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