## Euclidian Geometry |

### From inside the book

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**Theorems**, both classified according to the nature of the subject , and demonstrations replaced by others less ...**theorem**is assumed as self - evident which certainly requires proof as much as those which are made to depend upon ... Page vii

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**Theorems**, should nevertheless occupy the attention of the beginner as soon as possible , and also that the necessity of his having to wade through a long book of**Theorems**only should be avoided . This has been effected by placing the ... Page xiv

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**Theorems**on Proportion made use of to be stated . Any proofs allowed , the Axiom or Lemma on which they depend being stated . With regard to Euc . VI . Any proofs allowed , the Definition or test of Pro- portion being stated . I. 33 ... Page 36

... ( I. 13 ) .. PQ , RS do not meet when produced towards Q , S. Similarly it may be proved that they will not meet if produced towards P , R. ... they are parallel . Hence are easily deduced the following

... ( I. 13 ) .. PQ , RS do not meet when produced towards Q , S. Similarly it may be proved that they will not meet if produced towards P , R. ... they are parallel . Hence are easily deduced the following

**Theorems**: If a 36 · PARALLELS : Page 37

Francis Cuthbertson (M.A.). Hence are easily deduced the following

Francis Cuthbertson (M.A.). Hence are easily deduced the following

**Theorems**: If a straight line , falling upon two other straight lines , makes the exterior angle equal to the interior and opposite upon the same side of the line , the ...### 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