Euclidian Geometry |
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Side vi
... 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 .
... 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 .
Side 2
... segment . H Α . 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 ...
... segment . H Α . 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 ...
Side 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 segment of a CONTACT Of circles . 113 PROPOSITION XII. ...
... > 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. ...
Side 114
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 ...
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 ...
Side 115
... meet the Oce in Y. Then BCY is double of BPY , and ACY is double of 4 APY ; . * . remaining △ ACB is double of △ APB . DEFINITION . An angle in a segment is the angle 8-2 ANGLES IN CIRCLES . 115 2ndly. Let C lie within the LAPB. ...
... meet the Oce in Y. Then BCY is double of BPY , and ACY is double of 4 APY ; . * . remaining △ ACB is double of △ APB . DEFINITION . An angle in a segment is the angle 8-2 ANGLES IN CIRCLES . 115 2ndly. Let C lie within the LAPB. ...
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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