## 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

...

...

**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

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

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

**segment**of a CONTACT OF CIRCLES . 113 PROPOSITION XII. ... Page 114

Francis Cuthbertson (M.A.). ANGLES IN CIRCLES . DEFINITIONS . A

Francis Cuthbertson (M.A.). ANGLES IN CIRCLES . 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 ... Page 115

... it to meet 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

... it to meet 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 2ndly. Let Clie within the APB. ...### Other editions - View all

### Common terms and phrases

applied base bisect Cambridge centre chapter chord circle circumference cloth College common complete contained Crown 8vo DEFINITION describe diameter difference divided double draw drawn Edition elementary English equal equiangular Examination Examples extremities fall fcap figure Find former four GEOMETRY given point given straight line Grammar greater Hence illustrations impossible inscribed introduction Join language Latin less magnitudes Master Mathematical meet method Notes opposite parallel parallelogram pass perpendicular plane polygon possible present principles PROBLEM produced Professor proportional PROPOSITION prove ratio reader rect rectangle rectilineal respectively revised right angles Schools Second Edition segment selected sides similar Similarly square taken tangent THEOREM third touch TREATISE triangle twice University volume whole