## Euclidian Geometry |

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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 . xiv. 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. Hence are easily deduced the following

Francis Cuthbertson. 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 two ...### 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