Elements of Geometry: With Practical Applications to MensurationLeach, Shewell and Sanborn, 1863 - 320 páginas |
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Página 62
... determine its position . 179. Cor . 2. A perpendicular at the middle of a chord passes through the center of the circle , and through the middle of the arc subtended by the chord , bisecting at the centre the angle which the arc ...
... determine its position . 179. Cor . 2. A perpendicular at the middle of a chord passes through the center of the circle , and through the middle of the arc subtended by the chord , bisecting at the centre the angle which the arc ...
Página 157
... determined , we can easily , by means of them , determine the polygons having twice the number of sides . We have only in this case to put A 2.8284271 , B = 3.3137085 ; and we shall find A'AX B 3.0614674 , and 2 AX B = 3.1825979 . A + A ...
... determined , we can easily , by means of them , determine the polygons having twice the number of sides . We have only in this case to put A 2.8284271 , B = 3.3137085 ; and we shall find A'AX B 3.0614674 , and 2 AX B = 3.1825979 . A + A ...
Página 163
... determined except approx- imately ; but the approximation has been carried so far , that a knowledge of the exact ratio would afford no real advantage whatever beyond that of the approximate ratio . Professor Rutherford extended the ...
... determined except approx- imately ; but the approximation has been carried so far , that a knowledge of the exact ratio would afford no real advantage whatever beyond that of the approximate ratio . Professor Rutherford extended the ...
Página 167
... determine whether a surface is a plane , apply a straight line in different directions to that surface , and ascertain whether the line throughout its whole extent touches the surface . PROPOSITION II . THEOREM . - 397. Two straight ...
... determine whether a surface is a plane , apply a straight line in different directions to that surface , and ascertain whether the line throughout its whole extent touches the surface . PROPOSITION II . THEOREM . - 397. Two straight ...
Página 193
... determine the prism BF K - L ( Prop . III . ) ; hence the two prisms coincide throughout , and therefore are equal to each other . Take away , now , from the whole solid A ELC , the prism AEI - M , and there will remain the ...
... determine the prism BF K - L ( Prop . III . ) ; hence the two prisms coincide throughout , and therefore are equal to each other . Take away , now , from the whole solid A ELC , the prism AEI - M , and there will remain the ...
Otras ediciones - Ver todas
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Vista completa - 1874 |
Elements of Geometry: With Practical Application to Mensuration Benjamin Greenleaf Vista completa - 1869 |
Elements of Geometry: With Practical Applications to Mensuration Benjamin Greenleaf Vista completa - 1872 |
Términos y frases comunes
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
Pasajes populares
Página 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.
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 120 - At a point in a given straight line to make an angle equal to a given angle.
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 19 - In an isosceles triangle, the angles opposite the equal sides are equal.
Página 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.
Página 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.
Página 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.
Página 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.
Página 2 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.