Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
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Página 7
... distance . The dimensions of extension are length , breadth , and height or thickness . 2. MAGNITUDE , in general , is that which has one or more of the three dimensions of extension . 3. A POINT is that which has position , without ...
... distance . The dimensions of extension are length , breadth , and height or thickness . 2. MAGNITUDE , in general , is that which has one or more of the three dimensions of extension . 3. A POINT is that which has position , without ...
Página 24
... distances from the perpendicular , will be equal . 3d . Of any two oblique lines , that which meets the given line at the greater distance from the perpendicular will be the longer . Let A be the given point , and DE the 24 ELEMENTS OF ...
... distances from the perpendicular , will be equal . 3d . Of any two oblique lines , that which meets the given line at the greater distance from the perpendicular will be the longer . Let A be the given point , and DE the 24 ELEMENTS OF ...
Página 25
... distances from the perpendicular , are equal . Thirdly . The point C being in the triangle ADF , the sum of the lines A C ... distance of any point from a straight line . 74. Cor . 2. From the same point to a given straight line only two ...
... distances from the perpendicular , are equal . Thirdly . The point C being in the triangle ADF , the sum of the lines A C ... distance of any point from a straight line . 74. Cor . 2. From the same point to a given straight line only two ...
Página 26
... distance from the perpendicular , and are therefore equal ( Prop . XIV . ) . So , likewise , the two oblique lines ... distances from the extremities A and B. 77. Cor . If a straight line have two points , of which each is equally ...
... distance from the perpendicular , and are therefore equal ( Prop . XIV . ) . So , likewise , the two oblique lines ... distances from the extremities A and B. 77. Cor . If a straight line have two points , of which each is equally ...
Página 35
... distance of the parallels AB , CD , at the point E , is equal to the side FH , which measures the distance of the same parallels at the point F. Hence two parallels are everywhere equally distant . PROPOSITION XXVI . - THEOREM . 92. If ...
... distance of the parallels AB , CD , at the point E , is equal to the side FH , which measures the distance of the same parallels at the point F. Hence two parallels are everywhere equally distant . PROPOSITION XXVI . - THEOREM . 92. If ...
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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.