Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
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Página 43
... example , with the remainder DF . From the first remainder BE , cut off a part equal to the second D F , as many times as possible ; once , for ex- ample , with the remainder BG . From the second re- mainder DF , part equal to BOOK II ...
... example , with the remainder DF . From the first remainder BE , cut off a part equal to the second D F , as many times as possible ; once , for ex- ample , with the remainder BG . From the second re- mainder DF , part equal to BOOK II ...
Página 69
... example , that the angles ACB , DCE , at the centre of equal circles , are to each other as 7 to 4 ; or , which amounts to the same thing , that the angle M , which will serve as a common measure , is con- A B M E P tained seven times ...
... example , that the angles ACB , DCE , at the centre of equal circles , are to each other as 7 to 4 ; or , which amounts to the same thing , that the angle M , which will serve as a common measure , is con- A B M E P tained seven times ...
Página 79
... example , as the numbers 7 and 4. If A B is divided into seven equal parts , A E will contain four of those parts . At each point of division draw lines perpendicular to the base ; seven rectangles will thus be formed , all equal to ...
... example , as the numbers 7 and 4. If A B is divided into seven equal parts , A E will contain four of those parts . At each point of division draw lines perpendicular to the base ; seven rectangles will thus be formed , all equal to ...
Página 131
... example , six . Through the extremity A Α D draw the indefinite straight E B line A E , making any angle with AB . Take A C of any convenient length , and apply it six times upon A E. Join the last point of division , E , and the ...
... example , six . Through the extremity A Α D draw the indefinite straight E B line A E , making any angle with AB . Take A C of any convenient length , and apply it six times upon A E. Join the last point of division , E , and the ...
Página 195
... example , as 15 is to 8. Divide A E into 15 equal parts , of which AI will contain 8. Through x , y , z , & c . , the points of division , conceive planes to I E H G F M K D B C J 041 E H G K M G L Ꮮ pass BOOK VIII . 195.
... example , as 15 is to 8. Divide A E into 15 equal parts , of which AI will contain 8. Through x , y , z , & c . , the points of division , conceive planes to I E H G F M K D B C J 041 E H G K M G L Ꮮ pass BOOK VIII . 195.
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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.