## Euclidian Geometry |

### From inside the book

Results 1-5 of 42

Page viii

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**greater**length should occupy pages facing each other : so also that propositions and the corresponding converse ones should be placed on opposite pages . Moreover , Definitions and Axioms , instead of being all at the beginning of the ... Page xv

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**greater**than . < less than . ... because . ... therefore . : is to . The object aimed at is merely to place before the student the various steps of an argument in a more succinct form by curtailing the verbiage , thus enabling him to ... Page xvi

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**greater**than another any multiple of the former is**greater**than the same multiple of the latter . If a multiple of one magnitude be**greater**than the same multiple of another then the former magnitude is**greater**than the latter . ERRATA ... Page 2

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**greater**or less according as the difference of direction of its arms is**greater**or less . It is evident that Two straight lines cannot enclose a space . Hence it follows that Two straight lines cannot have a common segment . H A. B For ... Page 22

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**greater**than either of the interior and opposite angles . E G Let the side BC of △ ABC be produced to D. Then shall the △ ACD be > either of the 4s BAC , ABC . Bisect AC in E ; join BE and produce BE to F , making EF BE . = Join CF ...### 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