Elements of Geometry |
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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 ...
... 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 ...
... 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 , 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 ...
... 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
... 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 ...
... 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
... 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 ...
... 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 ...
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Common terms and phrases
ABC fig adjacent angles altitude angle ACB angle BAD 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 and parallel equiangular equilateral equivalent faces figure four right angles frustum Geom gles greater hence homologous sides hypothenuse inclination inscribed circle isosceles join less let fall line AC manner mean proportional measure the half meet multiplied number of sides oblique lines opposite parallelogram parallelopiped perimeter perpendicular plane MN polyedron prism proposition pyramid S-ABC quadrilateral radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium segment semicircumference side BC similar solid angle sphere spherical polygons spherical triangle square described straight line tangent THEOREM three plane angles triangle ABC triangular prism triangular pyramids vertex vertices whence