## Elements of Geometry |

### From inside the book

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**cube**; 5 × 25 or 125 , is the third power of 5 . The third power is a product formed by the multiplication of three equal factors ; each of these factors is the**cube**root of this product ; 125 is the product of 5 multiplied twice by ... Page xiv

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**cubes**of four proportional quantities form a new pro- portion . VI . When a proportion is said to exist among certain magni- tudes , these magnitudes are supposed to be represented , or to be capable of being represented , by numbers ... Page 126

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**cube**or regular hexaedron comprehended under six equal squares . 375. A pyramid is a solid formed by several triangular planes proceeding from the same point and terminating in the sides of Fig . 196. a polygon ABCDE ( fig . 196 ) . Fig ... Page 139

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**cube**being equal to each other , if the side is 1 , the solidity will be 1 × 1 × 1 , or 1 ; if the side is * Content is often employed by English writers to denote both solid and superficial measures . The word solidity , though most ... Page 140

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**cube**of a number ; it is the product arising from three factors , which are each equal to this number . If it were proposed to make a**cube**double of a given**cube**, it would be necessary that the side of the**cube**sought should be to the ...### 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