Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
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Página 13
... drawn from one point to another . 11. From one point to another only one straight line can be drawn . 12. Through the same point only one parallel to a straight line can be drawn . 13. All right angles are equal to one another . 2 BOOK I.
... drawn from one point to another . 11. From one point to another only one straight line can be drawn . 12. Through the same point only one parallel to a straight line can be drawn . 13. All right angles are equal to one another . 2 BOOK I.
Página 14
... drawn through a given point parallel to another straight line . 4. That a perpendicular to a given straight line may be drawn from a point either within or without the line . 5. That an angle may be described equal to any given angle ...
... drawn through a given point parallel to another straight line . 4. That a perpendicular to a given straight line may be drawn from a point either within or without the line . 5. That an angle may be described equal to any given angle ...
Página 15
... drawn perpendicular to A B ; then the angles ACE and ECB will each be a right angle ( Art . 15 ) . But the angle A CD is composed of the right angle A CE and the angle ECD ( Art . 34 , Ax . 9 ) , and the angles ECD and DCB compose the ...
... drawn perpendicular to A B ; then the angles ACE and ECB will each be a right angle ( Art . 15 ) . But the angle A CD is composed of the right angle A CE and the angle ECD ( Art . 34 , Ax . 9 ) , and the angles ECD and DCB compose the ...
Página 17
... drawn , making , with CA , the right angle ACF . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1 ) ; and since ACE is a straight line , the angle FCE will also be a right angle ; therefore ...
... drawn , making , with CA , the right angle ACF . Now , since ACD is a straight line , the angle FCD will be a right angle ( Prop . I. Cor . 1 ) ; and since ACE is a straight line , the angle FCE will also be a right angle ; therefore ...
Página 21
... drawn from the point A to the point B ( Art . 34 , Ax . 10 ) ; hence the side AB is less than the sum of the sides ... Draw the straight line CD , making the angle B C D equal to B. Then , in C the triangle BDC , we shall have the D B ...
... drawn from the point A to the point B ( Art . 34 , Ax . 10 ) ; hence the side AB is less than the sum of the sides ... Draw the straight line CD , making the angle B C D equal to B. Then , in C the triangle BDC , we shall have the D B ...
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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.