Elementary Synthetic Geometry of the Point, Line and Circle in the PlaneMacmillan, 1889 - 294 σελίδες Elementary Synthetic Geometry of the Point, Line and Circle in the Plane by Nathan Fellowes Dupuis, first published in 1889, is a rare manuscript, the original residing in one of the great libraries of the world. This book is a reproduction of that original, which has been scanned and cleaned by state-of-the-art publishing tools for better readability and enhanced appreciation. Restoration Editors' mission is to bring long out of print manuscripts back to life. Some smudges, annotations or unclear text may still exist, due to permanent damage to the original work. We believe the literary significance of the text justifies offering this reproduction, allowing a new generation to appreciate it. |
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... Similarly , if the stars appear to approach one another , the angle at E becomes smaller ; and if the stars become coinci- dent , or situated in the same line through E , the angle at E vanishes . Hence an angle is capable of continuous ...
... Similarly , LAOP ' LAOP + 4POP ' . LAOP LAOP ' - ¿ POP ' . Def . - When two angles , as AOP and POP ' , have one arm in common lying between the remaining arms , the angles are adjacent angles . 36 ° . Def . — A radius vector which ...
... similarly it does not cut BP ; therefore it passes through P , or P is on the right bisector . q.e.d. This form of proof should be compared with that of Art . 53 ° , they being the kinds indicated in 6 ° . proof by reductio In it we ...
... Similarly , and LACE is > LBAC . LBCD is > LABC , LBCD LACE . ( 40 ° ) Therefore the LS BCD and ACE are each greater than each of the LS ABC and BAC . q.e.d. 61 ° . Theorem .-- Only one perpendicular can be drawn to a line from a point ...
... they have two sides and an angle opposite the longer equal in each ( 65 ° , 1 ) ; .. ¿ POA = ¿ POB , and PO bisects the LAOB . Similarly , if the perpendiculars from Q upon OA ana THREE OR MORE POINTS AND LINES . 337.
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