Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1861 - 490 sider |
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Side 11
... 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 - ANGLED TRIANGLE is one ...
... 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 - ANGLED TRIANGLE is one ...
Side 18
... 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 ÄÄ CE4 then the triangles ABC , DEF will be equal . F Conceive the triangle ABC to be applied to the triangle ...
... 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 ÄÄ CE4 then the triangles ABC , DEF will be equal . F Conceive the triangle ABC to be applied to the triangle ...
Side 19
... angle B be equal to the angle E , the angle C to the angle F , and the side B4 BC to the side EF ; Α D C E4 F then the triangles A B C , DEF will be equal . Conceive the triangle A B C to be applied to the triangle DEF , so that the ...
... angle B be equal to the angle E , the angle C to the angle F , and the side B4 BC to the side EF ; Α D C E4 F then the triangles A B C , DEF will be equal . Conceive the triangle A B C to be applied to the triangle DEF , so that the ...
Side 20
... angle B is equal to the angle C ( Prop . V. ) . 57. Cor . 1. The line bisecting the vertical angle of an isosceles triangle bisects the base at right angles . 58. Cor . 2. Conversely , the line bisecting the base of an isosceles triangle ...
... angle B is equal to the angle C ( Prop . V. ) . 57. Cor . 1. The line bisecting the vertical angle of an isosceles triangle bisects the base at right angles . 58. Cor . 2. Conversely , the line bisecting the base of an isosceles triangle ...
Side 21
... triangle is less than the other side . PROPOSITION X. - THEOREM . 64. The greater side of any triangle is 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 ...
... triangle is less than the other side . PROPOSITION X. - THEOREM . 64. The greater side of any triangle is 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 ...
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Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1876 |
Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1862 |
Elements of Plane and Spherical Trigonometry: With Practical Applications Benjamin Greenleaf Uten tilgangsbegrensning - 1867 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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.
Side 155 - The convex surface of the cylinder is equal to the circumference of its base multiplied by its altitude (Prop.
Side 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.
Side 118 - The radius of a sphere is a straight line, drawn from the centre to any point of the...
Side 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.
Side 144 - The convex surface of this prism is equal to the perimeter of its base multiplied by its altitude, AG (Prop.
Side 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...
Side 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.
Side 95 - STRAIGHT line is perpendicular to a plane, when it is perpendicular to every straight line which it meets in that plane.