Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 sider |
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Side 4
... value of this treatise is largely due . BRADFORD , Mass . , July 25 , 1861 . BENJAMIN GREENLEAF . NOTICE . A KEY , comprising the Solutions of the Problems contained in this work , is published , for Teachers only ; and the same will be ...
... value of this treatise is largely due . BRADFORD , Mass . , July 25 , 1861 . BENJAMIN GREENLEAF . NOTICE . A KEY , comprising the Solutions of the Problems contained in this work , is published , for Teachers only ; and the same will be ...
Side 44
... values of the preceding remainders ; and , at last , those of the two proposed lines , and hence their ratio in numbers . Suppose , for instance , we find GB to be contained ex- actly twice in FD ; BG will be the common measure of the ...
... values of the preceding remainders ; and , at last , those of the two proposed lines , and hence their ratio in numbers . Suppose , for instance , we find GB to be contained ex- actly twice in FD ; BG will be the common measure of the ...
Side 144
... value of each may be found by dividing four right an- gles by the number of sides of the polygon . 351. Scholium 2. To inscribe a regular polygon of any number of sides in a given circle , it is only necessary to divide the ...
... value of each may be found by dividing four right an- gles by the number of sides of the polygon . 351. Scholium 2. To inscribe a regular polygon of any number of sides in a given circle , it is only necessary to divide the ...
Side 149
... value of the above formula when the exponent n is 1 ; the next prime number is 5 , and this is contained in the formula . But the poly- gons of 3 and of 5 sides have already been inscribed . The next prime number expressed by the ...
... value of the above formula when the exponent n is 1 ; the next prime number is 5 , and this is contained in the formula . But the poly- gons of 3 and of 5 sides have already been inscribed . The next prime number expressed by the ...
Side 158
... value of each , as far as seven places of decimals , is absolutely the same ; as the circle is between the two , it cannot , strictly speaking , differ from either so much as they do from each other ; so that the number 3.1415926 ...
... value of each , as far as seven places of decimals , is absolutely the same ; as the circle is between the two , it cannot , strictly speaking , differ from either so much as they do from each other ; so that the number 3.1415926 ...
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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.