## Elements of Geometry |

### From inside the book

Results 1-5 of 79

Page v

...

...

**measures**the distance of these same points . I have preferred , in order not to render the introduction to geometry too difficult , to sacrifice something of the exactness at which I aimed . Accordingly I shall call a straight line that ... Page vi

...

...

**measure**of angles by the arcs of a circle . 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**... Page vii

...

...

**measure**of the circle . Two lemmas are employed as the basis of this**measure**, which is otherwise demonstrated after the manner of Archimedes . We have then given two methods of approximation for squaring the circle , one of which is ... Page xiv

...

...

**measure**to the whole , and to be taken for unity ; then A , B , C , D , will each represent a certain number of units , entire or fractional , commensurable or incommensurable , and the proportion among the lines A , B , C , D , becomes ... Page 1

...

...

**measure**of extension . Extension has three dimensions , length , breadth , and thickness . 2. A line is length without breadth . The extremities of a line are called points . A point , therefore , has no extension . 3. A straight or ...### Other editions - View all

### Common terms and phrases

ABC fig ABCD adjacent altitude angle ACB applied base called centre chord circ circle circumference circumscribed common cone consequently considered construction contained convex surface Corollary cylinder Demonstration described diameter difference distance divided draw drawn entire equal equivalent example extremities faces figure follows formed four give given greater half hence homologous sides inclination inscribed 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 proportional proposition pyramid radii radius ratio reason rectangle regular polygon respect right angles Scholium sector segment sides similar solid angle Solution sphere spherical square straight line suppose surface taken THEOREM third triangle ABC triangular pyramids vertex vertices whence