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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 100.
Σελίδα 20
... drawn . 12. A straight line is the shortest distance between two points . 13. Through the same point , only one straight line can be drawn which shall be parallel to a given line . 14. Magnitudes , which being applied the one to the ...
... drawn . 12. A straight line is the shortest distance between two points . 13. Through the same point , only one straight line can be drawn which shall be parallel to a given line . 14. Magnitudes , which being applied the one to the ...
Σελίδα 27
... draw CG . Then , the triangles GAC and EDF will be equal , since they have two sides and an included angle in each equal , each to each ( P. 5 ) ; consequently , CG is equal to EF ( P. 5 , c ) . There may be three cases in this ...
... draw CG . Then , the triangles GAC and EDF will be equal , since they have two sides and an included angle in each equal , each to each ( P. 5 ) ; consequently , CG is equal to EF ( P. 5 , c ) . There may be three cases in this ...
Σελίδα 30
... drawn from the vertex of an isosceles triangle to the middle point of the base , divides the angle at the vertex into ... draw CD . Now , in the two triangles BDC , BAC , we have BD = AC , by construction ; the angle B equal to the angle ...
... drawn from the vertex of an isosceles triangle to the middle point of the base , divides the angle at the vertex into ... draw CD . Now , in the two triangles BDC , BAC , we have BD = AC , by construction ; the angle B equal to the angle ...
Σελίδα 31
... drawn to that line . A D- -E B F Let A be the point , and DE the given line . Let us suppose that we can draw two perpendiculars , AB , AC . Pro- long either of them , as AB , till BF is equal to AB , and draw FC . Then the two ...
... drawn to that line . A D- -E B F Let A be the point , and DE the given line . Let us suppose that we can draw two perpendiculars , AB , AC . Pro- long either of them , as AB , till BF is equal to AB , and draw FC . Then the two ...
Σελίδα 32
... drawn from the same point to the same straight line . Cor . At a given point C , in the line AB , it is also ... draw FC , FD . First . The triangle BCF , is equal to the triangle CAB , for they have the right angle CBF CBA , the ...
... drawn from the same point to the same straight line . Cor . At a given point C , in the line AB , it is also ... draw FC , FD . First . The triangle BCF , is equal to the triangle CAB , for they have the right angle CBF CBA , the ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 27 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Σελίδα 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Σελίδα 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.
Σελίδα 26 - The sum of any two sides of a triangle is greater than the third side.
Σελίδα 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Σελίδα 93 - The area of a parallelogram is equal to the product of its base and altitude.
Σελίδα 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Σελίδα 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.
Σελίδα 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.