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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... Lengths and Areas . SECTION III . - Geometric Interpretation of Algebraic Forms . SECTION IV . - Areal Relations - Squares and Rect- angles . SECTION V. - Constructive Geometry , PART III . SECTION I. Proportion amongst Line - Segments ...
... length or distance in every direction ; so that length and direction are fundamental ideas in studying the geometric properties of space . Every material object exists in , and is surrounded by 4 SYNTHETIC GEOMETRY .
... as its breadth is continually diminished . We may consequently consider a geometric line as length abstracted from every other consideration . This theoretic relation of a geometric line to a physical THE LINE AND POINT . 5.
... length . Def . - A plane figure made up of straight lines only is called a rectilinear figure . 15 ° . A Curve is a line of which no part is straight ; or a curve is a line of which no two adjacent parts have the same direction . The ...
... . 2. A limited portion of a line , especially when any refer- ence is had to its length , is a finite line , or a line - segment , or simply a segment . That absolute sameness ( 14 ° ) which characterizes every 8 SYNTHETIC GEOMETRY .
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