Metrical Geometry: An Elementary Treatise on Mensuration |
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Metrical Geometry! an Elementary Treatise on Mensuration George Bruce Halsted No preview available - 2012 |
Common terms and phrases
15 meters altitude axis b₁ B₂ basal edges base chord circular measure circumference circumscribed cone congruent cube cubic centimeters cubic meters curved surface cylinder diagonal diameter distance divided ellipse equal equilateral triangle equivalent EXAM find its volume Find the area Find the ratio find the volume frustum Given Hence HINT hypothenuse inscribed circle intersection lateral edges length limit lune mantel meters long midpoint Multiply number of degrees number of sides nx² ordinates parabola parallel sides parallelepiped perigon perimeter perpendicular polyhedron prism prismatoid prismoid Prismoidal Formula Proof pyramid quader quadrilateral r²² radian radii radius rectangle regular polygon right circular right cylinder right-angled Rule sector segment semicircumference slant height solid angle sphere spherical square meters straight line T₂ tangent tetrahedron trapezoid variable vertex vertices X₁ Y₁ zoid
Popular passages
Page 224 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Page 151 - Find the locus of a point the sum of the squares of whose distances from two given points is constant.
Page 109 - COR. 2. The volume of any truncated triangular prism is equal to the product of its right section by one third the sum of its lateral edges.
Page 34 - From half the sum of the three sides, subtract each side separately; multiply the half sum and the three remainders together, and the square root of the product will be the area required.
Page 86 - ... discussion has been carried on, the principal point discussed being the claims of the gramme, the metre, and the second, as against the gramme, the centimetre, and the second, — the former combination having an advantage as regards the simplicity of the name metre, while the latter combination has the advantage of making the unit of mass practically identical with the mass of unit-volume of water — in other words, of making the value of the density of water practically equal to unity.
Page 20 - The perimeters of regular polygons of the same number of sides have the same ratio as their radii or as their apothems. ADB A' D' B' Hyp. P and P' are the perimeters of two regular polygons having the radii OA and O'A', and the apothems OD and O'D', respectively. To prove P:P' = OA: O'A