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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... angle ) , and as X is ( corresponds to or is opposite ) Y , therefore Y is ( corresponds to or is opposite ) X. 8 ... right bisector of that segment . SECTION I. THE LINE AND POINT . 9. Space may be defined to be that which admits of ...
Nathan Fellowes Dupuis. One - half of a circumangle is a straight angle , and one- fourth of a circumangle is a right angle . 37 ° . Theorem . — If any number of lines meet in a point , the sum of all the adjacent angles formed is a ...
... angle . And conversely , if a radius vector describes a straight angle its original direction is reversed . Thus ... right angle ( 36 ° ) . Therefore , if two adjacent angles formed by two intersect- ing lines are equal to each other ...
... right angle is denoted by the symbol The symbol also denotes two right angles or a straight angle . Def . 3. - When two angles together make up a right angle they are complementary to one another , and each is the complement of the other .
... angles BOC and COA are each right angles ( 40 ° , Def . 2 ) . Therefore BOD is not a right angle , and OD is not AB . But OD is any line other than OC . Therefore OC is the only perpendicular . q.e.d. Def . The perpendicular to a line ...
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