## Elements of Geometry |

### From inside the book

Results 1-5 of 78

Page v

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**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 ... Page vi

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**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

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**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 that of James Gregory . This section is followed by an appendix , in ... Page xiv

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**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 frac- tional , commensurable or incommensurable , and the proportion among the lines A , B , C , D ... Page 1

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**measure**of extension . Extension has three dimensions , length , breadth , and thick- ness . 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 adjacent angles altitude angle ACB angle BAC base ABCD bisect centre chord circ circular sector circumference circumscribed common cone consequently construction convex surface Corollary cube cylinder Demonstration diagonals diameter draw drawn equal angles equiangular equilateral equivalent faces figure formed four right angles frustum GEOM given point gles greater hence homologous sides hypothenuse inclination intersection isosceles triangle JOHN CRERAR LIBRARY join less Let ABC let fall line AC mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism produced proposition radii radius ratio rectangle regular polygon right angles Scholium sector segment semicircle semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three angles triangle ABC triangular prism triangular pyramids vertex vertices whence