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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... relations but also conduces to greater generality . In dealing with proportion the method of measures is employed in preference to that of multiples as being equally accurate , easier of comprehension , and more in vi PREFACE .
... Measurement of 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 ...
... measured . 2. If B is moved to B ' , any point on EB , and A to A ' , any point on EA , the angle at E is not changed . Hence increas- ing or diminishing one or both of the segments which form an angle does not affect the magnitude of ...
... measured in two directions along the line SX , two squares can have their sides passing through the same four points P , Q , R , S , and having P and Q on opposite sides . Also , since P may be first connected with R or S , two squares ...
... measures the distance of the farthest point of a figure from a side taken as base . The terms base and altitude are thus correlative . A tri- angle may have three different bases and as many corre- sponding altitudes . ( 87 ° ) In the ...
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