Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
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Página 4
... contained in this work , is published , for Teachers only ; and the same will be mailed , post- paid , to the address of any Teacher who will forward thirty - six cents in stamps to the Publishers . CONTENTS . PLANE GEOMETRY ...
... contained in this work , is published , for Teachers only ; and the same will be mailed , post- paid , to the address of any Teacher who will forward thirty - six cents in stamps to the Publishers . CONTENTS . PLANE GEOMETRY ...
Página 28
... contained by the sides of that which has the greater third side will be greater than the angle contained by the sides of the other . Let ABC , DEF be two triangles , the side AB equal to D E , and AC equal to DF , and A D the side CB ...
... contained by the sides of that which has the greater third side will be greater than the angle contained by the sides of the other . Let ABC , DEF be two triangles , the side AB equal to D E , and AC equal to DF , and A D the side CB ...
Página 44
... contained a certain number of times in the preceding one . Then this last remainder will be the common measure of the proposed lines ; and , regarding it as unity , we shall easily find the values of the preceding remainders ; and , at ...
... contained a certain number of times in the preceding one . Then this last remainder will be the common measure of the proposed lines ; and , regarding it as unity , we shall easily find the values of the preceding remainders ; and , at ...
Página 45
... contained in their respective multiples the same number of times . Thus 4 and 5 are like submultiples of 8 and 10 ; 8 and 10 are like multiples of 4 and 5 . 121. COMMENSURABLE magnitudes are magnitudes of the same kind , which have a ...
... contained in their respective multiples the same number of times . Thus 4 and 5 are like submultiples of 8 and 10 ; 8 and 10 are like multiples of 4 and 5 . 121. COMMENSURABLE magnitudes are magnitudes of the same kind , which have a ...
Página 76
... contain the same unit of measure an equal number of times . 210. SIMILAR FIGURES are such as have the angles of the one equal to those of the other , each to each , and the sides containing the equal angles proportional . 211 ...
... contain the same unit of measure an equal number of times . 210. SIMILAR FIGURES are such as have the angles of the one equal to those of the other , each to each , and the sides containing the equal angles proportional . 211 ...
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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.