## Elements of Geometry |

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Page iii

In the original , the several parts are

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 xiv

Hence the product of two lines , A and D , which is

Hence the product of two lines , A and D , which is

**called**also their rectangle , is nothing else than the number of linear units contained in A multiplied by the number of linear units contained in B ; and we can easily conceive this ... Page 1

The extremities of a line are

The extremities of a line are

**called**points . A point , therefore , . , has no extension . 3. A straight or right line is the shortest way from one point to another . 4. Every line which is neither a straight line , nor composed of ... Page 2

3 ) meets another straight line CD in such a manner that the adjacent angles BAC , BAD , are equal , each of these angles is

3 ) meets another straight line CD in such a manner that the adjacent angles BAC , BAD , are equal , each of these angles is

**called**a right angle , and the line AB is said to be perpendicular to CD . 11. Every angle BAC ( fig . Page 3

The equal sides in the first case , and the equal angles in the second , are

The equal sides in the first case , and the equal angles in the second , are

**called**homologous ( 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 ...### 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