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 59
Side 26
... triangle , is greater than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AB , BC , be greater than the third side AC For the straight line AC is the short- est distance between the points A and C ...
... triangle , is greater than the third side . Let ABC be a triangle : then will the sum of two of its sides , as AB , BC , be greater than the third side AC For the straight line AC is the short- est distance between the points A and C ...
Side 27
... triangle BAC . 2d . When it falls on the side BC ; and 3d . When it falls within the triangle . Case I. In the triangles AGC and ABC , we have , GI + IC > GC ; and AI + IB > AB ; therefore AG ÷ BC GC + AB . B4 A D Taking away AG from ...
... triangle BAC . 2d . When it falls on the side BC ; and 3d . When it falls within the triangle . Case I. In the triangles AGC and ABC , we have , GI + IC > GC ; and AI + IB > AB ; therefore AG ÷ BC GC + AB . B4 A D Taking away AG from ...
Side 40
... triangle the sum of the three angles is equal to two right angles . Let ABC be any triangle : then will the sum of the angles C + A + B be equal to two right angles . For , prolong the side CA towards D , and at the point A , suppose AE ...
... triangle the sum of the three angles is equal to two right angles . Let ABC be any triangle : then will the sum of the angles C + A + B be equal to two right angles . For , prolong the side CA towards D , and at the point A , suppose AE ...
Side 41
... triangle BAC are equal to the three angles CAB , BAE , EAD , each to each ... triangles will be mutually equian- gular . Cor . 3. In any triangle there can be but ... ABC , the exterior angle BAD is equal to the sum of the two interior ...
... triangle BAC are equal to the three angles CAB , BAE , EAD , each to each ... triangles will be mutually equian- gular . Cor . 3. In any triangle there can be but ... ABC , the exterior angle BAD is equal to the sum of the two interior ...
Side 44
... triangles are equal , the angle A is equal to the angle C ( P. 10 , s . ) Also , the angle ADC com- posed of the two angles , ADB , BDC , is equal to ABC , composed of the corresponding equal angles DBC , ABD ( A. 2 ) : hence , the ...
... triangles are equal , the angle A is equal to the angle C ( P. 10 , s . ) Also , the angle ADC com- posed of the two angles , ADB , BDC , is equal to ABC , composed of the corresponding equal angles DBC , ABD ( A. 2 ) : hence , the ...
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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 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.