## Elements of Geometry |

### From inside the book

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**produces**the number represented by A. A3 , being an abbreviation of A × A × A , indicates the third power or cube of A. 3 A indicates the cube root of A , or the number which , being multiplied twice by itself ,**produces**the number A ... Page 2

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**produced**ever so far both ways , they do not meet . 13. A plane figure is a plane terminated on all sides by lines . If the lines are straight , the space which they contain is called a rectilineal figure , or polygon ( fig . 6 ) , and ... Page 5

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**produced**, separate from each other at a point C , the one becoming CD and the other CE . At the point C , let CF be drawn , so as to make the angle ACF a right angle ; then , ACD being a straight line , the angle FCD is a right angle ... Page 6

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**produced**, let CE be that line**produced**; then , ACE being a straight line , the angles ACD , DCE , are together equal to two right angles ( 28 ) ; but , by hypothesis , the angles ACD , DCB , are together equal to two right angles ... Page 8

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**produced**till it meet the side AC in D ; the straight line OC is less than OD + DC ; to each of these add BO , and BO + OC < BO + OD + DC ; that is BO + OC < BD + DC . , Again , BD < BA + AD ; to each of these add DC , and we shall have ...### 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