Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
Dentro del libro
Resultados 1-5 de 34
Página 199
... solidity , or solid contents . We assume as the unit of volume , or solidity , the cube , each of whose edges is the linear unit , and each of whose faces is the unit of surface . PROPOSITION XIII . THEOREM . 474. The solid contents of ...
... solidity , or solid contents . We assume as the unit of volume , or solidity , the cube , each of whose edges is the linear unit , and each of whose faces is the unit of surface . PROPOSITION XIII . THEOREM . 474. The solid contents of ...
Página 201
... solidity of a prism ( Prop . XIII . ) ; hence Prism ABC - E : Prism FHI - M :: AB3 : FH3 . PROPOSITION XV . - THEOREM . 477. The convex surface of a right pyramid is equal to the perimeter of its base , multiplied by half the slant ...
... solidity of a prism ( Prop . XIII . ) ; hence Prism ABC - E : Prism FHI - M :: AB3 : FH3 . PROPOSITION XV . - THEOREM . 477. The convex surface of a right pyramid is equal to the perimeter of its base , multiplied by half the slant ...
Página 208
... solidity of a triangular pyramid is equal to a third part of the product of its base by its altitude . PROPOSITION XX . - THEOREM . 487. The solidity of every pyramid is equal to the pro- duct of its base by one third of its altitude ...
... solidity of a triangular pyramid is equal to a third part of the product of its base by its altitude . PROPOSITION XX . - THEOREM . 487. The solidity of every pyramid is equal to the pro- duct of its base by one third of its altitude ...
Página 209
... solidity of any polyedron may be found by dividing it into pyramids , by passing planes through its vertices . PROPOSITION XXI.THEOREM . 493. A frustum of a pyramid is equivalent to the sum of three pyramids , having for their common ...
... solidity of any polyedron may be found by dividing it into pyramids , by passing planes through its vertices . PROPOSITION XXI.THEOREM . 493. A frustum of a pyramid is equivalent to the sum of three pyramids , having for their common ...
Página 212
... solidity of the pyra- mid ABC - S , and DEFX SP that of the pyramid DEF - S ( Prop . XX . ) ; hence two similar pyramids are to each other as the cubes of their homologous edges . PROPOSITION XXIII . - THEOREM . 495. There can be 212 ...
... solidity of the pyra- mid ABC - S , and DEFX SP that of the pyramid DEF - S ( Prop . XX . ) ; hence two similar pyramids are to each other as the cubes of their homologous edges . PROPOSITION XXIII . - THEOREM . 495. There can be 212 ...
Otras ediciones - Ver todas
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.