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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... drawn between figures which are capable of super- position and those which are equal merely in area . The properties of congruence and equality are accord- ingly carefully distinguished . The principle of motion in the transformation of ...
... drawn between theorems and corollaries . Ex . From the theorem , " The product of two odd numbers is an odd number , " by making the two numbers equal we obtain as a corollary , “ The square of an odd number is an odd number ...
... drawn along the black - board it leaves a visible mark . This mark has breadth and occupies some of the surface upon which it is drawn , and by way of distinction is called a physical line . By continually diminishing the breadth of the ...
... drawn to the line . The line OC is LAB , and OD is any other line through O. A 10 B Then OD is not AB . Proof . The angles BOC and COA are each right angles ( 40 ° , Def . 2 ) . Therefore BOD is not a right angle , and OD is not AB ...
... drawn that the LAOE is double the LEOC , some line OG may also be drawn so that the LAOG is double the LGOC . This double relation in the division of a segment or an angle is of the highest importance in Geometry . 45 ° . Theorem ...
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