Elements of Geometry |
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Page vi
... 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 ...
... 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
... 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 ...
... 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
... 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 itself , or 5 × 5 × 5 ; and 5 is ...
... 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 itself , or 5 × 5 × 5 ; and 5 is ...
Page xii
... 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 + A ...
... 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 + A ...
Page xiii
... 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 in this last proportion , the result will be consequents A + C + E : B + D + F :: E : For : A : B ...
... 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 in this last proportion , the result will be consequents A + C + E : B + D + F :: E : For : A : B ...
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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