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 Seiten |
Im Buch
Ergebnisse 1-5 von 15
Seite viii
... 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 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 , .. 365 Solidity of a Sphere , .. 366 Solidity of a ...
Seite 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 F АН G K E B A 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 F АН G K E B A plane , at right ...
Seite 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 . F E S H G Α B 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 . F E S H G Α B The frustum may be generated by the revolution of the trapezoid ...
Seite 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.
Seite 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 ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 27 - If two triangles have two sides of the one equal to two sides of the...
Seite 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Seite 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Seite 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.
Seite 26 - The sum of any two sides of a triangle is greater than the third side.
Seite 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Seite 93 - The area of a parallelogram is equal to the product of its base and altitude.
Seite 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Seite 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.
Seite 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.