Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1854 - 432 sider |
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Resultat 1-5 av 33
Side viii
... Solidity of a Prism , ... 359 Solidity of a Pyramid ,. 360 Solidity of the Frustum of a Pyramid ,. 360 The Wedge , .. - 361 Rectangular Prismoid ,. 361 Solidity of the Wedge ,. 361 Solidity of a Rectangular Prismoid ,. 362 Surface of a ...
... Solidity of a Prism , ... 359 Solidity of a Pyramid ,. 360 Solidity of the Frustum of a Pyramid ,. 360 The Wedge , .. - 361 Rectangular Prismoid ,. 361 Solidity of the Wedge ,. 361 Solidity of a Rectangular Prismoid ,. 362 Surface of a ...
Side 190
... solidity ; and this word is exclusively employed to designate the measure of a solid : thus , we say the solidity of a rectangular parallelopipedon is equal to the product of its base by its altitude , or to the product of its three ...
... solidity ; and this word is exclusively employed to designate the measure of a solid : thus , we say the solidity of a rectangular parallelopipedon is equal to the product of its base by its altitude , or to the product of its three ...
Side 191
... solidity is 2 × 2 × 2 = 8 ; if the edge is 3 , the solidity is 3x3x3 = 27 ; and so on . Hence , if the edges of a series of cubes are to each other as the numbers 1 , 2 , 3 , & c . , the cubes themselves , or their solidi- ties , are as ...
... solidity is 2 × 2 × 2 = 8 ; if the edge is 3 , the solidity is 3x3x3 = 27 ; and so on . Hence , if the edges of a series of cubes are to each other as the numbers 1 , 2 , 3 , & c . , the cubes themselves , or their solidi- ties , are as ...
Side 192
... solidity of a rectangular parallelopipedon is equal to its base multiplied by its height ; hence , the solidity of any parallelopipedon is equal to the product of its base by its altitude . Second . Any triangular prism is half a ...
... solidity of a rectangular parallelopipedon is equal to its base multiplied by its height ; hence , the solidity of any parallelopipedon is equal to the product of its base by its altitude . Second . Any triangular prism is half a ...
Side 193
... solidity . Let S - ABC , Sabc , be two such pyramids ; let their equivalent bases ABC , abc , be situated in the same plane , and let AT be their common altitude : then will they be equivalent . T n u + N k M Am Z K L g y + GA α H x + D ...
... solidity . Let S - ABC , Sabc , be two such pyramids ; let their equivalent bases ABC , abc , be situated in the same plane , and let AT be their common altitude : then will they be equivalent . T n u + N k M Am Z K L g y + GA α H x + D ...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Adrien Marie Legendre,Charles Davies Uten tilgangsbegrensning - 1890 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Charles Davies Uten tilgangsbegrensning - 1874 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Adrien Marie Legendre,Charles Davies Uten tilgangsbegrensning - 1864 |
Vanlige uttrykk og setninger
adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism triedral angles vertex vertices
Populære avsnitt
Side 27 - If two triangles have two sides of the one equal to two sides of the...
Side 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Side 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Side 26 - The sum of any two sides of a triangle is greater than the third side.
Side 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 93 - The area of a parallelogram is equal to the product of its base and altitude.
Side 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Side 323 - 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.
Side 64 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.