## Euclidian Geometry |

### From inside the book

Results 1-5 of 41

Page v

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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 20 ........ 27 , 28 14 15 16 17 18 19 345 7 " SOPHEU ..19 . ..20 .... 21 .24 25 D 22 C d 454 14 15 A 25 Tangents . 23 6 16 , 18 , 19 B 17 C m ......... II , 9 , 10 n Contact of OS . ........ .31 P 2 3 7 . 5 , 6 21 ... Page xi

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**Parallel**lines .**Parallel**planes . 10 .3I 13 F Ꮐ .18 14 .25 A B 12 138 .9 14 16 IO , 15 17 Planes to planes . Comp . of os . II ......... XII . I XII . 2 , & c . Comp . of Ls . 15 18 16 19 Solid angles . 17 20 ...... ( 33 ) 18 21 12 ... Page xv

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**parallel**. = 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 curtailing the verbiage ...### 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