Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
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Página 238
... CONE is a solid which may be described by the revolution of a right- angled triangle turning about one of its ... cone is the circle de- scribed by the revolution of the side BC , which is perpendicular to the im- movable side . B A The ...
... CONE is a solid which may be described by the revolution of a right- angled triangle turning about one of its ... cone is the circle de- scribed by the revolution of the side BC , which is perpendicular to the im- movable side . B A The ...
Página 239
... cone is the point A , where the hy- pothenuse meets the immovable side . The AXIS of the cone is the straight line joining the vertex to the centre of the base ; as the line A B. The ALTITUDE of a cone is a line drawn from the vertex ...
... cone is the point A , where the hy- pothenuse meets the immovable side . The AXIS of the cone is the straight line joining the vertex to the centre of the base ; as the line A B. The ALTITUDE of a cone is a line drawn from the vertex ...
Página 242
... cone is equal to the cir- cumference of the base multiplied by half the slant height . Let A B C D E F - S be a cone whose base is the circle ABCDEF , and whose slant height is the line SA ; then its convex surface is equal to ABCDEF ...
... cone is equal to the cir- cumference of the base multiplied by half the slant height . Let A B C D E F - S be a cone whose base is the circle ABCDEF , and whose slant height is the line SA ; then its convex surface is equal to ABCDEF ...
Página 243
... cone is equal to half the sum of the circumference of the two bases multiplied by its slant height . Let ABCDEF - M be the frustum of a cone , and AG its slant height ; then the convex surface is equal to half the sum of the ...
... cone is equal to half the sum of the circumference of the two bases multiplied by its slant height . Let ABCDEF - M be the frustum of a cone , and AG its slant height ; then the convex surface is equal to half the sum of the ...
Página 244
... cone , whose base is ABCDEF , and alti- tude SH ; then its solidity is equal to ABCDEFX SH . In the base of the cone inscribe any regular polygon , ABCDEF , and on this polygon construct a reg- S F E ular pyramid , having the same ...
... cone , whose base is ABCDEF , and alti- tude SH ; then its solidity is equal to ABCDEFX SH . In the base of the cone inscribe any regular polygon , ABCDEF , and on this polygon construct a reg- S F E ular pyramid , having the same ...
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Términos y frases comunes
A B C ABCD adjacent angles altitude angle ACB angle equal base bisect centre chord circle circumference circumscribed cone convex surface cosec Cosine Cotang cylinder diagonal diameter distance divided drawn equal Prop equilateral triangle equivalent exterior angle feet formed frustum gles greater half the sum hence homologous hypothenuse inches included angle inscribed interior angles isosceles less Let ABC line A B logarithmic sine measured by half multiplied number of sides parallel parallelogram parallelopipedon pendicular perimeter perpendicular polyedron prism PROBLEM PROPOSITION pyramid quadrantal radii radius ratio rectangle regular polygon Required the area right angles right-angled triangle rods Scholium secant segment side A B similar slant height solve the triangle sphere spherical polygon spherical triangle Tang tangent THEOREM triangle ABC triangle equal trigonometric functions vertex
Pasajes populares
Página 28 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 37 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 79 - Two rectangles having equal altitudes are to each other as their bases.
Página 251 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Página 52 - If any number of quantities are proportional, any antecedent is to its consequent as the sum of all the antecedents is to the sum of all the consequents. Let a : b = c : d = e :f Now ab = ab (1) and by Theorem I.
Página 35 - If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles.
Página 168 - If a straight line is perpendicular to each of two straight lines at their point of intersection, it is perpendicular to the plane of those lines.
Página 303 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Página 4 - The logarithm of any POWER of a number is equal to the product of the logarithm of the number by the exponent of the power. For let m be any number, and take the equation (Art. 9) M=a*, then, raising both sides to the wth power, we have Mm = (a")m = a"" . Therefore, log (M m) = xm = (log M) X »»12.
Página 102 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing.