Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1861 - 490 páginas |
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Página 18
... third side BC will co- incide with the third side E F ( Art . 34 , Ax . 11 ) . Hence the triangle ABC coincides with the triangle DEF , and they are therefore equal ( Art . 34 , Ax . 14 ) . 53. Cor . When , in two triangles , these ...
... third side BC will co- incide with the third side E F ( Art . 34 , Ax . 11 ) . Hence the triangle ABC coincides with the triangle DEF , and they are therefore equal ( Art . 34 , Ax . 14 ) . 53. Cor . When , in two triangles , these ...
Página 25
... third sides , CF and AC , are equal ( Prop . V. Cor . ) . But ABF , being a straight line , is shorter than ACF , which is a broken line ( Art . 34 , Ax . 10 ) ; therefore A B , the half of ABF , is shorter than A C , the half of ACF ...
... third sides , CF and AC , are equal ( Prop . V. Cor . ) . But ABF , being a straight line , is shorter than ACF , which is a broken line ( Art . 34 , Ax . 10 ) ; therefore A B , the half of ABF , is shorter than A C , the half of ACF ...
Página 27
... third side of that which has the greater angle will be greater than the third side of the other . Let ABC , DEF be two triangles , having the side AB equal to DE , and AC equal to A D DF , and the angle A greater than D ; B then will ...
... third side of that which has the greater angle will be greater than the third side of the other . Let ABC , DEF be two triangles , having the side AB equal to DE , and AC equal to A D DF , and the angle A greater than D ; B then will ...
Página 28
... third side of the one greater than the third side of the other , the angle contained by the sides of that which has the greater third side will be greater than the angle contained by the sides of the other . Let ABC , DEF be two ...
... third side of the one greater than the third side of the other , the angle contained by the sides of that which has the greater third side will be greater than the angle contained by the sides of the other . Let ABC , DEF be two ...
Página 18
... third side BC will co- incide with the third side E F ( Art . 34 , Ax . 11 ) . Hence the triangle A B C coincides with the triangle DEF , and they are therefore equal ( Art . 34 , Ax . 14 ) . 53. Cor . When , in two triangles , these ...
... third side BC will co- incide with the third side E F ( Art . 34 , Ax . 11 ) . Hence the triangle A B C coincides with the triangle DEF , and they are therefore equal ( Art . 34 , Ax . 14 ) . 53. Cor . When , in two triangles , these ...
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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.