Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 sider |
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Side 238
... cylinder are the circles described by the sides , AC , BD , of the revolving rectangle , which are adjacent to the immovable side , A B. The AXIS of the cylinder is the straight line joining the centres of its two bases ; as the ...
... cylinder are the circles described by the sides , AC , BD , of the revolving rectangle , which are adjacent to the immovable side , A B. The AXIS of the cylinder is the straight line joining the centres of its two bases ; as the ...
Side 239
... cylinder , and cone are termed the THREE ROUND BODIES of elementary Geometry . PROPOSITION I.THEOREM . 572. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude . Let ABCDEF - G be a cylinder ...
... cylinder , and cone are termed the THREE ROUND BODIES of elementary Geometry . PROPOSITION I.THEOREM . 572. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude . Let ABCDEF - G be a cylinder ...
Side 240
... cylinder . The prism will be inscribed in the con- vex surface of the cylinder . The con- vex surface of this prism is equal to the perimeter of its base multiplied by its altitude , AG ( Prop . I. Bk . VIII . ) . G F E D A B с Conceive ...
... cylinder . The prism will be inscribed in the con- vex surface of the cylinder . The con- vex surface of this prism is equal to the perimeter of its base multiplied by its altitude , AG ( Prop . I. Bk . VIII . ) . G F E D A B с Conceive ...
Side 241
... cylinder . But the solid contents of the prism will still be equal to the product of its base by its altitude ; hence the solid contents of the cylinder are equal to the product of its base by its altitude . 576. Cor . 1. Cylinders of ...
... cylinder . But the solid contents of the prism will still be equal to the product of its base by its altitude ; hence the solid contents of the cylinder are equal to the product of its base by its altitude . 576. Cor . 1. Cylinders of ...
Side 245
... cylinder having the same base and the same altitude ; hence it follows , 1. That cones of equal altitudes are to each other as their bases ; . 2. That cones of equal bases are to each other as their altitudes ; 3. That similar cones are ...
... cylinder having the same base and the same altitude ; hence it follows , 1. That cones of equal altitudes are to each other as their bases ; . 2. That cones of equal bases are to each other as their altitudes ; 3. That similar cones are ...
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Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1876 |
Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1861 |
Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1867 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 79 - Two rectangles having equal altitudes are to each other as their bases.
Side 251 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Side 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.
Side 35 - If any side of a triangle be produced, the exterior angle is equal to the sum of the two interior and opposite angles.
Side 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.
Side 303 - Equal triangles upon the same base, and upon the same side of it, are between the same parallels.
Side 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.
Side 102 - Two triangles, which have an angle of the one equal to an angle of the other, and the sides containing.