## Elements of Geometry |

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Page v

The definition of a

The definition of a

**straight line**being the most important of the elements , I have wished to be able to give to it all the exactness and precision of which it is susceptible . Perhaps I might have attained this object by calling a ... Page 1

The extremities of a line are called points . ... A straight or right line is the shortest way from one point to another . 4. Every line which is neither a

The extremities of a line are called points . ... 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**straight lines**, is a curved line . Page 2

When a

When a

**straight line**AB ( fig . 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. Page 3

Only one

Only one

**straight line**can be drawn between two points . 26. Two magnitudes , whether they be lines , surfaces , or solids , are equal , when , being applied the one to the other , they coincide with each other entirely ; that is ... Page 4

First Principles , or the Properties of Perpendicular , Oblique , and Parallel Lines . THEOREM . > > 27. All right angles are equal . Demonstration . Let the

First Principles , or the Properties of Perpendicular , Oblique , and Parallel Lines . THEOREM . > > 27. All right angles are equal . Demonstration . Let the

**straight line**CD be perpendicular to Fig . 16. AB ( fig .### 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