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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Side viii
... Cylinder , ... - - - 363 Convex Surface of a Cone , .. 364 Surface of a Frustum of a Cone , ... 364 Solidity of a Cylinder , ... 364 Solidity of a Cone ,. 365 Solidity of a Frustum of a Cone , ... 365 Surface of a Spherical Zone ...
... Cylinder , ... - - - 363 Convex Surface of a Cone , .. 364 Surface of a Frustum of a Cone , ... 364 Solidity of a Cylinder , ... 364 Solidity of a Cone ,. 365 Solidity of a Frustum of a Cone , ... 365 Surface of a Spherical Zone ...
Side 202
... CYLINDER is a solid which may be generated by the revolution of a rectangle ABCD , turning about the immovable side ... cylinder ; the side CD , describing , at the same time , the convex surface . The immovable line AB is called the ...
... CYLINDER is a solid which may be generated by the revolution of a rectangle ABCD , turning about the immovable side ... cylinder ; the side CD , describing , at the same time , the convex surface . The immovable line AB is called the ...
Side 203
... cylinder ; then , the prism is said to be inscribed in the cylin- der , and the cylinder to be circumscribed about the prism . The edges AF , BG , CH , & c . , of the prism , being perpendicular to the plane of the base , are contained ...
... cylinder ; then , the prism is said to be inscribed in the cylin- der , and the cylinder to be circumscribed about the prism . The edges AF , BG , CH , & c . , of the prism , being perpendicular to the plane of the base , are contained ...
Side 205
... Cylinder , the Cone , and the Sphere , are the three round bodies treated of in the Elements of Geometry . PROPOSITION I. THEOREM . The convex surface of a cylinder BOOK VIII . 205.
... Cylinder , the Cone , and the Sphere , are the three round bodies treated of in the Elements of Geometry . PROPOSITION I. THEOREM . The convex surface of a cylinder BOOK VIII . 205.
Side 206
... cylinder is equal to the circumference of its base multiplied by its altitude . Let CA be the radius of the base of a cylinder , and H its altitude ; denote the circumference whose radius is CA by circ . CA : then will the convex ...
... cylinder is equal to the circumference of its base multiplied by its altitude . Let CA be the radius of the base of a cylinder , and H its altitude ; denote the circumference whose radius is CA by circ . CA : then will the convex ...
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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.