## Elements of Geometry |

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Page iii

In the original , the several parts are called books , and the

In the original , the several parts are called books , and the

**propositions**of each book are numbered after the manner of Euclid . It was thought more convenient for purposes of reference to number definitions ,**propositions**... Page v

But , in order to this , it would have been necessary to enter into subtile discussions , and to distinguish , in the course of several

But , in order to this , it would have been necessary to enter into subtile discussions , and to distinguish , in the course of several

**propositions**, the straight line drawn between two points from the shortest line which measures the ... Page vii

... if the

... if the

**propositions**are well connected together . 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 . Page 3

An Axiom is a

An Axiom is a

**proposition**, the truth of which is self - evident . ... A Scholium is a remark upon one or more**propositions**which have gone before , tending to show their connexion , their restriction , their extension , or the manner ... Page 13

The

The

**proposition**will evidently be true , if the third side BC be equal to the third side EF . If it be possible , let these sides be unequal , and let BC be the greater . Take BG = EF , and join AG ; then the triangle ABG is equal to ...### 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