Elements of Geometry and Trigonometry: From the Works of A.M. LegendreA.S. Barnes, 1874 - 455 páginas |
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Página viii
... Frustum of a Cone , Area of the Surface of a Sphere , Area of a Zone , Area of a Spherical Polygon , 121 122 122 123 .... Volume of a Prism , 124 Volume of a Pyramid , 124 ...... Volume of the Frustum of a Pyramid , 125 Volume of a ...
... Frustum of a Cone , Area of the Surface of a Sphere , Area of a Zone , Area of a Spherical Polygon , 121 122 122 123 .... Volume of a Prism , 124 Volume of a Pyramid , 124 ...... Volume of the Frustum of a Pyramid , 125 Volume of a ...
Página 180
... FRUSTUM OF A PYRAMID , and the inter- section of the cutting plane with the pyramid , is called the upper base of the frustum ; the base of the pyramid is cal- led the lower base of the frustum . 14. The ALTITUDE of a frustum of a ...
... FRUSTUM OF A PYRAMID , and the inter- section of the cutting plane with the pyramid , is called the upper base of the frustum ; the base of the pyramid is cal- led the lower base of the frustum . 14. The ALTITUDE of a frustum of a ...
Página 185
... frustum of a right pyramid is equal to half the sum of the perimeters of its upper and lower bases , multiplied by the slant height . Let ABCDE - e be a frustum of a right pyramid , whose vertex is S : then will the section abcde be ...
... frustum of a right pyramid is equal to half the sum of the perimeters of its upper and lower bases , multiplied by the slant height . Let ABCDE - e be a frustum of a right pyramid , whose vertex is S : then will the section abcde be ...
Página 202
... frustum , and whose bases are the lower base of the frustum , the upper base of the frustum , and a mean proportional between the two bases . Let FGH - h be a fi ustum of any triangular pyramid : then will its volume be equal to that of ...
... frustum , and whose bases are the lower base of the frustum , the upper base of the frustum , and a mean proportional between the two bases . Let FGH - h be a fi ustum of any triangular pyramid : then will its volume be equal to that of ...
Página 203
... frustum into three pyramids . The pyra- mid g - FGII , has for its base the lower base FGH of the frustum , and its al- itude is equal to that of the frustum , > ecause its vertex g , is in the plane of he upper base . The pyramid II ...
... frustum into three pyramids . The pyra- mid g - FGII , has for its base the lower base FGH of the frustum , and its al- itude is equal to that of the frustum , > ecause its vertex g , is in the plane of he upper base . The pyramid II ...
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Términos y frases comunes
AB² ABCD AC² adjacent angles altitude apothem Applying logarithms base and altitude bisect centre chord circle circumference circumscribed coincide cone consequently convex surface corresponding cosec cosine Cotang cylinder denote diagonals diameter difference distance divided draw drawn edges equally distant feet find the area Formula frustum given angle given straight line greater hence homologous hypothenuse included angle interior angles intersection less Let ABC log sin lower base mantissa measured by half number of sides opposite parallel parallelogram parallelopipedon perimeter perpendicular plane MN polyedral angle polyedron prism PROPOSITION proved pyramid quadrant radii radius rectangle regular polygons right angles right-angled triangle Scholium secant segment semi-circumference side BC similar sine slant height sphere spherical polygon spherical triangle square subtracted Tang tangent THEOREM triangle ABC triangular prisms triedral angle upper base vertex vertices whence
Pasajes populares
Página 126 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Página 59 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Página 18 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Página 104 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.
Página 6 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Página 28 - If two triangles have two sides of the one equal to two sides of the...
Página 46 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 99 - The area of a parallelogram is equal to the product of its base and altitude.
Página 172 - If two planes are perpendicular to 'each other, a straight line drawn in one of them, perpendicular to their intersection, will be perpendicular to the other.
Página 214 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.