Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1861 - 490 páginas |
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Página 11
... sides equal ; as the triangle ABC . A B C D An ISOSCELES TRIANGLE is one which has two of its sides equal ; as the triangle DEF . A SCALENE TRIANGLE is one which has no two of its sides equal ; as the triangle G H I. 23. A RIGHT ...
... sides equal ; as the triangle ABC . A B C D An ISOSCELES TRIANGLE is one which has two of its sides equal ; as the triangle DEF . A SCALENE TRIANGLE is one which has no two of its sides equal ; as the triangle G H I. 23. A RIGHT ...
Página 12
... side on which the poly- gon is supposed to stand . But in the case of the isosceles triangle , it is usual to consider that side the base which is not equal to either of the other sides . 31. An equilateral polygon is one which has all its ...
... side on which the poly- gon is supposed to stand . But in the case of the isosceles triangle , it is usual to consider that side the base which is not equal to either of the other sides . 31. An equilateral polygon is one which has all its ...
Página 18
... sides and the included angle in the other , each to each , the two triangles will be equal . In the two triangles ABC , DEF , let the side A B be equal to the side DE , the side A C to the side D F , and the angle A to the angle D ; B ...
... sides and the included angle in the other , each to each , the two triangles will be equal . In the two triangles ABC , DEF , let the side A B be equal to the side DE , the side A C to the side D F , and the angle A to the angle D ; B ...
Página 19
... side B A equal to ED , the side CA equal to FD , and the angle A equal to the angle D. PROPOSITION VII . - THEOREM . 56. In an isosceles triangle , the angles opposite the equal sides are equal . Let ABC be an isosceles triangle , in ...
... side B A equal to ED , the side CA equal to FD , and the angle A equal to the angle D. PROPOSITION VII . - THEOREM . 56. In an isosceles triangle , the angles opposite the equal sides are equal . Let ABC be an isosceles triangle , in ...
Página 20
... sides are also equal , and the triangle is isosceles . Let ABC be a triangle having the an- gle B equal to the angle C ; then will the side A B be equal to the side A C. B D C For , if the two sides are not equal , one of them must be ...
... sides are also equal , and the triangle is isosceles . Let ABC be a triangle having the an- gle B equal to the angle C ; then will the side A B be equal to the side A C. B D C For , if the two sides are not equal , one of them must be ...
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Términos y frases comunes
A B C ABCD adjacent angles altitude angles ACD angles equal base bisect centre chord circle circumference cone convex surface cosec cosine Cotang diagonal diameter distance divided drawn equal angles equal Prop equiangular equilateral equivalent exterior angle feet four right angles frustum gles greater half the sum homologous homologous sides hypothenuse inches included angle inscribed less Let ABC line A B logarithm mean proportional multiplied parallelogram parallelopipedon perimeter perpendicular polyedron prism PROPOSITION pyramid quadrilateral radii radius ratio rectangle regular polygon right angles Prop right-angled triangle Scholium secant secant line segment side A B side BC similar slant height solidity solve the triangle sphere spherical triangle Tang tangent THEOREM triangle ABC trigonometric functions vertex
Pasajes populares
Página 17 - 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 57 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Página 155 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Página 28 - 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 118 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Página 98 - 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 144 - The convex surface of this prism is equal to the perimeter of its base multiplied by its altitude, AG (Prop.
Página 176 - Find the area of the sector having' the same arc with the segment, and also the area of the triangle formed by the chord of the segment and the radii of the sector. Then...
Página 14 - Straight lines which are parallel to the same line are parallel to each other. Let the straight lines AB, CD be each parallel to the line EF ; then are they parallel to each other.
Página 95 - STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.