## Euclidian Geometry |

### From inside the book

Results 1-5 of 33

Page v

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**less**cumbrous , I have been careful in all cases to retain Euclid's order as far as is necessary to allow of the proofs given being substituted for those of Euclid in Examinations . How important this is must be at once apparent to all ... Page xv

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**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 , thus enabling him to take in at a glance ... Page 2

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**less**according as the difference of direction of its arms is greater or**less**. It is evident that Two straight lines cannot enclose a space . Hence it follows that Two straight lines cannot have a common segment . H Α . B For if two ... Page 23

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**less**than two right angles . D Let ABC be a △ . Then shall any two of its angles , as ABC and ACB , be together two right angles . < Produce BC to D. Then ABC is < the exterior ACD ; ( 1. 13 ) .. LS ABC , ACB are together the 4s ACD ... Page 27

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**less**than the other two sides of the triangle but shall contain a greater angle . D From the ends B , C of the side BC of the △ ABC let the two straight lines BD , CD be drawn to a point D within the a ; then shall BD , DC together be**less**...### 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 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 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