Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1861 - 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 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 BAC to be bisect- ed , or divided into two equal ...
... 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 BAC to be bisect- ed , or divided into two equal ...
Página 21
... opposite the greater angle . In the triangle CAB , let the angle A C be greater than B ; then will the side . A B , opposite to C , be greater than A C , opposite to B. Draw the straight line CD , making the angle B C D equal to B. Then ...
... opposite the greater angle . In the triangle CAB , let the angle A C be greater than B ; then will the side . A B , opposite to C , be greater than A C , opposite to B. Draw the straight line CD , making the angle B C D equal to B. Then ...
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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.