## Elements of Geometry |

### From inside the book

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**called**books , and the propositions of each book are numbered after the manner of Euclid . It was thought more convenient for purposes of refer- ence to number definitions , propositions , corollaries , & c . , in one continued series ... Page xiv

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**called**also their rectangle , is nothing else than the number of linear units . contained in A multiplied by the number of linear units con- tained in B ; and we can easily conceive this product to be equal to that which results from ... Page 1

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**called**points . A point , therefore , has no extension . 3. A straight or right line is the shortest way from one point to another . 4. Every line which is neither a straight line , nor composed of straight lines , is a curved line ... Page 2

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**called**a rectilineal figure , or polygon ( fig . 6 ) , and the lines taken together make the perimeter of the polygon . 14. The polygon of three sides is the most simple of these figures , and is**called**a triangle ; that of four sides is ... Page 3

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**called**homologous ( A ) . 21. An Axiom is a proposition , the truth of which is self - evi- dent . A Theorem is a truth which becomes evident by a process of reasoning**called**a demonstration . A Problem is a question proposed which ...### 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