Elements of Plane and Spherical Trigonometry: With Practical ApplicationsR. S. Davis, 1862 - 490 páginas |
Dentro del libro
Resultados 1-5 de 41
Página 29
... hypothenuse and a side of the one equal to the hypothenuse and a side of the other , each to each , the triangles are equal . Let the two right - an- A D gled triangles ABC , DEF , have the hypothenuse A C equal to D F , and the side AB ...
... hypothenuse and a side of the one equal to the hypothenuse and a side of the other , each to each , the triangles are equal . Let the two right - an- A D gled triangles ABC , DEF , have the hypothenuse A C equal to D F , and the side AB ...
Página 63
... hypothenuses CA , CD are equal ; and the side AF , the half of A B , is equal to the side D G , the half of DE ; therefore the triangles are equal , and CF is equal to CG ( Prop . XIX . Bk . I. ) ; hence the two equal chords AB , DE are ...
... hypothenuses CA , CD are equal ; and the side AF , the half of A B , is equal to the side D G , the half of DE ; therefore the triangles are equal , and CF is equal to CG ( Prop . XIX . Bk . I. ) ; hence the two equal chords AB , DE are ...
Página 87
... hypothenuse of a right - angled triangle is equivalent to the sum of the squares described on the other two sides . Let ABC be a right - angled triangle , having the right angle at A ; then the square described H , on the hypothenuse BC ...
... hypothenuse of a right - angled triangle is equivalent to the sum of the squares described on the other two sides . Let ABC be a right - angled triangle , having the right angle at A ; then the square described H , on the hypothenuse BC ...
Página 88
... hypothenuse , is equivalent to the sum of the squares A BHL , ACIK , described on the two other sides ; that is , BC ... hypothenuse diminished by the square of the other side ; thus , A B is equivalent to B C A C2 . ― 239. Cor . 2. The ...
... hypothenuse , is equivalent to the sum of the squares A BHL , ACIK , described on the two other sides ; that is , BC ... hypothenuse diminished by the square of the other side ; thus , A B is equivalent to B C A C2 . ― 239. Cor . 2. The ...
Página 89
... hypothenuse , the squares of the sides about the right angle will be to each other as the adjacent segments of the hypothenuse . For the rec- tangles BDEF , DCGE , having the same altitude , are to each other as their bases , BD , CD ...
... hypothenuse , the squares of the sides about the right angle will be to each other as the adjacent segments of the hypothenuse . For the rec- tangles BDEF , DCGE , having the same altitude , are to each other as their bases , BD , CD ...
Otras ediciones - Ver todas
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.