Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 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 , 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 ...
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 , A G ( Prop . I. Bk . VIII . ) . G F E D A B C ...
... 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 , A G ( Prop . I. Bk . VIII . ) . G F E D A B C ...
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 Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Uten tilgangsbegrensning - 1874 |
Elements of Geometry: With Practical Application to Mensuration Benjamin Greenleaf Uten tilgangsbegrensning - 1869 |
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Uten tilgangsbegrensning - 1872 |
Vanlige uttrykk og setninger
A B C ABCD adjacent angles altitude angle ACB angle equal arc A B base bisect 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 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 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 59 - 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 120 - At a point in a given straight line to make an angle equal to a given angle.
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 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Side 199 - Any two rectangular parallelopipedons are to each other as the products of their bases by their altitudes ; that is to say, as the products of their three dimensions.
Side 121 - Through a given point to draw a straight line parallel to a given straight line, Let A be the given point, and BC the given straight line : it is required to draw through the point A a straight line parallel to BC.
Side 103 - 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 2 - 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.
Side 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.