## Euclidian Geometry |

### From inside the book

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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 . Let the side BC of a 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. Then ...### 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 Examples 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 revised 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