Elements of Geometry |
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Page iv
There is , moreover , appended to this edition a copious collection of questions , selected principally from Bland's Geometrical Problems , and intended as an exercise for the learner . CAMBRIDGE , October , 1830 . ! 7 . PREFACE .
There is , moreover , appended to this edition a copious collection of questions , selected principally from Bland's Geometrical Problems , and intended as an exercise for the learner . CAMBRIDGE , October , 1830 . ! 7 . PREFACE .
Page vi
These two sections are followed by the resolution of certain problems relating to the construction of figures . The third section , entitled the proportions of figures , contains the measure of surfaces , their comparison ...
These two sections are followed by the resolution of certain problems relating to the construction of figures . The third section , entitled the proportions of figures , contains the measure of surfaces , their comparison ...
Page vii
This section also is followed by a series of problems relating to the objects of which it treats . The fourth section treats of regular polygons and of the measure of the circle . Two lemmas are employed as the basis of this measure ...
This section also is followed by a series of problems relating to the objects of which it treats . The fourth section treats of regular polygons and of the measure of the circle . Two lemmas are employed as the basis of this measure ...
Page 3
21. An Axiom is a proposition , the truth of which is self - evident . A Theorem is a truth which becomes evident by a process of reasoning called a demonstration . A Problem is a question proposed which requires a solution .
21. An Axiom is a proposition , the truth of which is self - evident . A Theorem is a truth which becomes evident by a process of reasoning called a demonstration . A Problem is a question proposed which requires a solution .
Page 36
Problems relating to the two first Sections . PROBLEM . Fig 70 . 132. To divide a given straight line AB ( fig . 70 ) into two equal parts . Solution . From the points A and B , as centres , and with a radius greater than the half of AB ...
Problems relating to the two first Sections . PROBLEM . Fig 70 . 132. To divide a given straight line AB ( fig . 70 ) into two equal parts . Solution . From the points A and B , as centres , and with a radius greater than the half of AB ...
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Common terms and phrases
ABC fig ABCD adjacent altitude applied base called centre chord circ circle circumference circumscribed common cone consequently construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces feet figure follows formed four give given greater half hence inclination inscribed intersection isosceles join less let fall manner mean measure meet moreover multiplied namely opposite parallel parallelogram parallelopiped pass perimeter perpendicular plane plane angles polyedron polygon prism PROBLEM produced proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment similar solid angle Solution sphere spherical square straight line suppose surface taken tangent THEOREM third triangle ABC vertex vertices whence
Bibliographic information
| Title | Elements of Geometry |
| Author | Adrien Marie Legendre |
| Translated by | John Farrar |
| Publisher | Hilliard, Gray, and Company, 1833 |
| Original from | University of Chicago |
| Digitized | 11 Apr 2012 |
| Length | 235 pages |
| Export Citation | BiBTeX EndNote RefMan |