Euclidian Geometry |
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Page v
... 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 ...
... 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
... 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 ...
... 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
... Theorems on Proportion made use of to be stated . Any proofs allowed , the Axiom or Lemma on which they depend being stated . Any proofs allowed , the Definition or test of Pro- Lportion being stated . N.B. When the Examiner wishes for ...
... Theorems on Proportion made use of to be stated . Any proofs allowed , the Axiom or Lemma on which they depend being stated . Any proofs allowed , the Definition or test of Pro- Lportion being stated . N.B. When the Examiner wishes for ...
Page 36
... ( 1. 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 .
... ( 1. 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 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 ...
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 ...
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Common terms and phrases
Algebra ATHENĈUM base Cambridge centre chord Christ's College circumference cloth Conic Sections Crown 8vo Describe a circle diagonals diameter divided draw a straight ELEMENTARY TREATISE English equiangular equilateral Euclid Extra fcap fcap GEOMETRY given angle given circle given point given straight line Grammar greater Hence inscribed intersecting isosceles triangle LAPB Latin Let ABC line bisecting locus Mathematical meet Owens College parallel parallelogram perimeter perpendicular plane polygon PROBLEM produced Professor proportional PROPOSITION ratio rect rectangle rectangle contained rectilineal figure regular polygon respectively rhombus right angles Schools Second Edition segment Similarly squares on AC straight line drawn straight line joining student tangent THEOREM TRIGONOMETRY twice rectangle twice the squares vertex