Elements of Geometry and Trigonometry from the Works of A.M. Legendre: Revised and Adapted to the Course of Mathematical Instruction in the United StatesA.S. Barnes & Company, 1854 - 432 sider |
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Resultat 1-5 av 74
Side 23
... similar manner it may be proved that ACE is equal to DCB . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles . For , the sum of BOOK I. 23.
... similar manner it may be proved that ACE is equal to DCB . Scholium . The four angles formed about a point by two straight lines , which intersect each other , are together equal to four right angles . For , the sum of BOOK I. 23.
Side 56
... similar way it may be shown that like powers or roots of proportional magnitudes are proportionals . PROPOSITION XIII . THEOREM . If there be two sets of proportional magnitudes , the products of the corresponding terms will be ...
... similar way it may be shown that like powers or roots of proportional magnitudes are proportionals . PROPOSITION XIII . THEOREM . If there be two sets of proportional magnitudes , the products of the corresponding terms will be ...
Side 72
... similar , it may be shown that the fourth term of the proportion cannot be ess than AD ; hence , it is AD itself ; therefore , we have angle ACB angle ACD :: arc AB : arc AD . Scholium 1. Since the angle at the centre of a circle , and ...
... similar , it may be shown that the fourth term of the proportion cannot be ess than AD ; hence , it is AD itself ; therefore , we have angle ACB angle ACD :: arc AB : arc AD . Scholium 1. Since the angle at the centre of a circle , and ...
Side 75
... similar reasoning would apply to the angle AEC or DEB . PROPOSITION XX . THEOREM . The angle formed by two secants , is measured by half the difference of the arcs included between its sides . Let AB , AC , be two secants : then will ...
... similar reasoning would apply to the angle AEC or DEB . PROPOSITION XX . THEOREM . The angle formed by two secants , is measured by half the difference of the arcs included between its sides . Let AB , AC , be two secants : then will ...
Side 87
... SIMILAR FIGURES are those which are mutually equi angular ( B. I. , D. 22 ) , and have their sides about the equal angles , taken in the same order , proportional . 2. In figures which are mutually equiangular , the angles which are ...
... SIMILAR FIGURES are those which are mutually equi angular ( B. I. , D. 22 ) , and have their sides about the equal angles , taken in the same order , proportional . 2. In figures which are mutually equiangular , the angles which are ...
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Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Adrien Marie Legendre,Charles Davies Uten tilgangsbegrensning - 1890 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Charles Davies Uten tilgangsbegrensning - 1874 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Adrien Marie Legendre,Charles Davies Uten tilgangsbegrensning - 1864 |
Vanlige uttrykk og setninger
adjacent angles altitude angle ACB angle BAD base ABCD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cosine Cotang cylinder diagonal diameter distance divided draw drawn edges equations equivalent feet figure find the area frustum given angle given line given point gles greater hence homologous homologous sides hypothenuse included angle inscribed circle intersect less Let ABC let fall logarithm magnitudes measured by half middle point number of sides oblique lines opposite parallelogram parallelopipedon pendicular perimeter perpendicular plane MN polyedral angle polyedron PROBLEM PROPOSITION pyramid quadrant radii radius ratio rectangle regular polygon right angles right-angled triangle Scholium secant segment side BC similar sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM triangle ABC triangular prism triedral angles vertex vertices
Populære avsnitt
Side 27 - If two triangles have two sides of the one equal to two sides of the...
Side 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Side 97 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Side 26 - The sum of any two sides of a triangle is greater than the third side.
Side 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 93 - The area of a parallelogram is equal to the product of its base and altitude.
Side 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Side 323 - A'B'C', and applying the law of cosines, we have cos a' = cos b' cos c' + sin b' sin c' cos A'. Remembering the relations a' = 180° -A, b' = 180° - B, etc. (this expression becomes cos A = — cos B cos C + sin B sin C cos a.
Side 64 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.