## Elements of Geometry |

### From inside the book

Results 1-5 of 79

Page vi

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**third**section , entitled the proportions of figures , contains the measure of surfaces , their comparison , the properties of a right - angled triangle , those of equiangular triangles , of similar figures , & c . We shall be found ... Page vii

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**third**section of this part is an abridged treatise on the sphere and spherical triangles . This treatise does not ...**third**section of the second part on spherical isoperimetrical polygons ; and an appendix to the second and**third**... Page x

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**third**power or 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 ... Page xii

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**third**, or as the second is to the fourth . Moreover , the two ratios A : C , B : D , being common to the two proportions above obtained , it follows that the other ratios of the same proportions are equal , and that , consequently , B ... Page xiii

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**third**ratio , E : F , is equal to the first , A : B , we have A + C : B + D :: E : F. If we take the sum of the antecedents and that of the consequents in this last proportion , the result will be A + C + E : B + D + F :: E : F , 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