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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... theorem , and ( b ) the argument or proof . The purpose of the argument is to show that the truth of the theorem depends upon that of some preceding theorem whose truth has already been established or admitted . Ex . " The sum of two ...
... theorem may be put into the hypothetical form , of which the type is-- If A is B then C is D. The first part " if A is B " is called the hypothesis , and the second part " then C is D " is the conclusion . Ex . The theorem " The product ...
... theorem which admits of a converse can be proved directly its converse can usually be proved indirectly . Examples will occur hereafter . 7 ° . Many geometric theorems are so connected with their converses that the truth of the theorems ...
... theorem deduced from some other theorem , usually by some qualification or restriction , and occasionally by some amplification of the hypothesis . Or a corollary may be derived directly from an axiom or from a definition . As a matter ...
... Theorem . — If any number of lines meet in a point , the sum of all the adjacent angles formed is a circumangle . OF are lines meeting OA , OB , OC , . in O. Then ... g LAOB + LBOC + 4COD + ... + LFOA = a circumangle . D E F A Proof - A ...
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