## Euclidian Geometry |

### From inside the book

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Page vi

... then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the

... then calculating their duplicate ratio . In order to make the Second Book , which treats of the relations existing between the rectangles under the

**segments**of a line divided in various ways , available for vi PREFACE . Page 2

...

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**segment**. H A. B For if two straight lines ABC , ABH could have a com .. mon**segment**AB ; then the straight line ABC might be turned about its extremity A , towards the side on which BH is , so as to cut BH ; and thus two straight lines ... Page 113

... AK are together > HK , ( 1. 16 ) but HA = HB and AK = CK ; .. HB , CK are together > HK , which is impossible . ... If two circles , & c . C. G. 8 DEFINITIONS . A

... AK are together > HK , ( 1. 16 ) but HA = HB and AK = CK ; .. HB , CK are together > HK , which is impossible . ... If two circles , & c . C. G. 8 DEFINITIONS . A

**segment**of a circle is the figure CONTACT OF CIRCLES . 113. Page 114

Francis Cuthbertson. DEFINITIONS . A

Francis Cuthbertson. DEFINITIONS . A

**segment**of a circle is the figure contained by a straight line and the part of the circumference which it cuts off . An angle is said to stand upon the circumference inter- cepted between its arms ... Page 115

... the Oce in Y. Then BCY is double of BPY , and ACY is double of △ APY ; remaining ACB is double of ↳ APB . DEFINITION . An angle in a

... the Oce in Y. Then BCY is double of BPY , and ACY is double of △ APY ; remaining ACB is double of ↳ APB . DEFINITION . An angle in a

**segment**is the angle 8. - 2 ANGLES IN CIRCLES . 115 3rdly. Let Clie without the LAPB. ...### 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