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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 36.
Σελίδα viii
... Pyramid , ... 359 Convex Surface of the Frustum of a Right Pyramid , .. 359 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 ...
... Pyramid , ... 359 Convex Surface of the Frustum of a Right Pyramid , .. 359 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 ...
Σελίδα 175
... pyramid is the perpendicular let fall from the vertex on the plane of the base . 11. A RIGHT PYRAMID is one whose base is a regular polygon , and in which the perpendicular let fall from the vertex upon the base passes through the ...
... pyramid is the perpendicular let fall from the vertex on the plane of the base . 11. A RIGHT PYRAMID is one whose base is a regular polygon , and in which the perpendicular let fall from the vertex upon the base passes through the ...
Σελίδα 176
... pyramid intercepted between the bases of the frustum . 15. The diagonal of a polyedron is a line joining the vertices of any two of its angles , not in the same face . 16. Similar polyedrons are those whose polyedral angles are equal ...
... pyramid intercepted between the bases of the frustum . 15. The diagonal of a polyedron is a line joining the vertices of any two of its angles , not in the same face . 16. Similar polyedrons are those whose polyedral angles are equal ...
Σελίδα 177
... pyramid be cut by a plane parallel to its base : 1st . The edges and the altitude will be divided proportionally : 2d . The section will be a polygon similar to the base . Let the pyramid S - ABCDE , of which SO is the altitude be cut ...
... pyramid be cut by a plane parallel to its base : 1st . The edges and the altitude will be divided proportionally : 2d . The section will be a polygon similar to the base . Let the pyramid S - ABCDE , of which SO is the altitude be cut ...
Σελίδα 178
... pyramids , having a common vertex and their bases in the same plane ; if these pyramids are cut by a plane parallel to the plane of their bases , the sections , abcde , xyz , will be to each other as the bases ABCDE , XYZ . A a S E D B ...
... pyramids , having a common vertex and their bases in the same plane ; if these pyramids are cut by a plane parallel to the plane of their bases , the sections , abcde , xyz , will be to each other as the bases ABCDE , XYZ . A a S E D B ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 27 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Σελίδα 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.
Σελίδα 26 - The sum of any two sides of a triangle is greater than the third side.
Σελίδα 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 93 - The area of a parallelogram is equal to the product of its base and altitude.
Σελίδα 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 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.
Σελίδα 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.