Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
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Página 10
... OPPOSITE EXTERIOR and INTERIOR ANGLES lie on the same side of the secant line , the one without and the other within the parallels , but not adjacent to each other ; as the angles EGB , GHD , and also EGA , GHC , are , respec- tively ...
... OPPOSITE EXTERIOR and INTERIOR ANGLES lie on the same side of the secant line , the one without and the other within the parallels , but not adjacent to each other ; as the angles EGB , GHD , and also EGA , GHC , are , respec- tively ...
Página 11
... opposite to the right angle is called the hy- pothenuse ; as the side J L. 24. An ACUTE - ANGLED TRIANGLE is one ... opposite sides parallel . 26. A RECTANGLE is any parallel- ogram whose angles are right angles ; as the parallelogram ...
... opposite to the right angle is called the hy- pothenuse ; as the side J L. 24. An ACUTE - ANGLED TRIANGLE is one ... opposite sides parallel . 26. A RECTANGLE is any parallel- ogram whose angles are right angles ; as the parallelogram ...
Página 12
... opposite to each other ; as the lines EC and EB in the polygon ABCDE . R U T S Y V W D E A B C 30. A BASE of a polygon is the side on which the poly- gon is supposed to stand . But in the case of the isosceles triangle , it is usual to ...
... opposite to each other ; as the lines EC and EB in the polygon ABCDE . R U T S Y V W D E A B C 30. A BASE of a polygon is the side on which the poly- gon is supposed to stand . But in the case of the isosceles triangle , it is usual to ...
Página 17
... opposite or vertical angles which they form are equal . Let the two straight lines AB , CD intersect each other at ... opposite angle , BED ( Art . 34 , Ax . 3 ) . In the same manner it may be shown that the angle CEB is equal to its ...
... opposite or vertical angles which they form are equal . Let the two straight lines AB , CD intersect each other at ... opposite angle , BED ( Art . 34 , Ax . 3 ) . In the same manner it may be shown that the angle CEB is equal to its ...
Página 19
... opposite the equal sides are equal . Let ABC be an isosceles triangle , in which the side AB is equal to the side . AC ; then will the angle B be equal to the angle C. Conceive the angle B A C to be bisect- ed , or divided into two ...
... opposite the equal sides are equal . Let ABC be an isosceles triangle , in which the side AB is equal to the side . AC ; then will the angle B be equal to the angle C. Conceive the angle B A C to be bisect- ed , or divided into two ...
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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.