## Euclidian Geometry |

### From inside the book

Results 1-5 of 43

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**parallels**; for a theorem is assumed as self - evident which certainly requires proof as much as those which are made to depend upon it . To avoid this difficulty a Lemma has been introduced which , while it rests on an axiomatic basis ... Page vi

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**parallel**is that suggested by the literal meaning of the word : thus the conception of a paral- lelogram is not that of a figure whose opposite sides will never meet however far they may be produced in either direction , but rather that ... Page x

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**Parallels**. Lemma 27 , 28 m .. .II . 9 , 10 .31 n p ջ Contact of OS . 2 7 . 5 , 6 21 ( 29 ) 22 ( 30 ) I. 21 ......... 7 ... 29 8 . ΤΟ 9 ............... 13 23 ..33 I. 22 24 .32 I. 25 25 ( 268 ) I. 35 .30 ..268 ( ... Page xi

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**Parallel**lines .**Parallel**planes . 138 12 ... 9 .31 13 14 .18 14 16 .25 A IO , 15 B 17 II Comp . of Os . 12 .... XII . 2 , & c , Comp . of Ls . 13 .. ............ Planes to planes . XII . I 15 16 56 18 19 Solid angles . 17 ( 33 ) 18 18 ... Page xv

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**parallel**. + together with . = equal to . > 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 ...### 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