## 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

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

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

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

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 ...### What people are saying - Write a review

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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