## Euclidian Geometry |

### From inside the book

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Page 14

... . Thus the arms of A would fall along the former positions of the arms of B ; .. the angles A , B are equal to one another . " Similarly the angles H , K may be

... . Thus the arms of A would fall along the former positions of the arms of B ; .. the angles A , B are equal to one another . " Similarly the angles H , K may be

**proved**equal . L COR . If DEF be any angle , the ( 14 ) · Page 21

... a space , which is impossible . .. AR is not 1 to BC . Similarly it may be

... a space , which is impossible . .. AR is not 1 to BC . Similarly it may be

**proved**that no other straight line besides AQ , drawn from A to BC , is to it . INEQUALITIES . PROPOSITION XIII . If a side of a RIGHT ANGLES . 21. Page 36

... ) .. PQ , RS do not meet when produced towards Q , S. Similarly it may be

... ) .. 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 57

... SPRF the square on PR . Similarly it may be

... SPRF the square on PR . Similarly it may be

**proved**that the QC is = the square on RQ ; ..the whole figure PHNQ , that is the square on PQ , is the squares on PR , RQ . - PROPOSITION XXXVI . If the square described on one of AREAS . 57. Page 80

...

...

**proves**the case in which the given equal sides are opposite to equal angles in each thus : B D A Let ABC , DEF be two as having ABC = △ DEF , LACB = LDFE , and side AB = side DE . Then BC and EF are equal to one another , for , if not ...### 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