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, 1857 - 432 sider |
Inni boken
Resultat 1-5 av 15
Side 8
... 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 , .. 365 Solidity of a Sphere , ......... . 366 Solidity ...
... 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 , .. 365 Solidity of a Sphere , ......... . 366 Solidity ...
Side 203
... cone ; the hypothenuse SB describes the convex surface of the cone . The point S is called the vertex of the cone , SA the axis , or the altitude , and SB the slant height . Every section HKFI , made by a S F H G E A B plane , at right ...
... cone ; the hypothenuse SB describes the convex surface of the cone . The point S is called the vertex of the cone , SA the axis , or the altitude , and SB the slant height . Every section HKFI , made by a S F H G E A B plane , at right ...
Side 204
... cone S - CDB , the cone S - FKH be cut off by a plane parallel to the base , the remaining solid CFHB is called a truncated cone , or the frustum of a cone . S A K АН Эв The frustum may be generated by the revolution of the trapezoid ...
... cone S - CDB , the cone S - FKH be cut off by a plane parallel to the base , the remaining solid CFHB is called a truncated cone , or the frustum of a cone . S A K АН Эв The frustum may be generated by the revolution of the trapezoid ...
Side 205
... form the bases of the zone or segment . 17. The 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.
... form the bases of the zone or segment . 17. The 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 208
... cone is equal to the circumference of its base , multiplied by half the slant height . Let the circle ABCD be the base of a cone , S the vertex , SO the altitude , and SA the slant height : then will the convex surface be equal to circ ...
... cone is equal to the circumference of its base , multiplied by half the slant height . Let the circle ABCD be the base of a cone , S the vertex , SO the altitude , and SA the slant height : then will the convex surface be equal to circ ...
Andre utgaver - Vis alle
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
altitude angle ACB angle BAD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cos² cosine Cotang cubes 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 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 similar triangles sin² sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM three angles triangle ABC triangular prism triedral angles vertex vertices
Populære avsnitt
Side 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 34 - If two right-angled triangles have the hypothenuse and a side of the one, equal to the hypothenuse and a side of the other, each to each, the triangles are equal. Let...
Side 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 278 - In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Side 107 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 1 - O's, points or dots are introduced instead of the 0's through the rest of the line, to catch the eye, and to indicate that from thence the annexed first two figures of the Logarithm in the second column stand in the next lower line. N'.
Side 43 - BtSL hence the sum of all the interior and exterior angles, is equal to twice as many right angles as the polygon has sides.
Side 119 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Side 30 - B : hence the two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each : hence, the two triangles are equal (Th.
Side 97 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.