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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Side 10
... follows , that a surface has but two dimensions , ength and breadth . 5. If we consider a limited portion of a surface , that which separates such portion from the other parts of the surface , is called a Line . This mark of division ...
... follows , that a surface has but two dimensions , ength and breadth . 5. If we consider a limited portion of a surface , that which separates such portion from the other parts of the surface , is called a Line . This mark of division ...
Side 29
... follow , by the last proposition , that the side EF would be greater than BC ; and if the angle D were less than A , the side EF would be less than BC . But EF is equal to BC , by hypothesis ; therefore , the angle D can neither be ...
... follow , by the last proposition , that the side EF would be greater than BC ; and if the angle D were less than A , the side EF would be less than BC . But EF is equal to BC , by hypothesis ; therefore , the angle D can neither be ...
Side 31
... follows , from what has just been proved , that AB < AC ; which is contrary to the hypothesis . If the angle C - B , then the side AB = AC ( P. 12 ) ; which is also contrary to the supposition . There- fore , when AB > AC , the angle C ...
... follows , from what has just been proved , that AB < AC ; which is contrary to the hypothesis . If the angle C - B , then the side AB = AC ( P. 12 ) ; which is also contrary to the supposition . There- fore , when AB > AC , the angle C ...
Side 46
... equal : whence , it follows , that the angles AEB , BEC , are equal , and therefore , the two diago- nals of a rhombus bisect each other at right angles . BOOK II . OF RATIOS AND PROPORTIONS . DEFINITIONS . 46 GEOMETRY .
... equal : whence , it follows , that the angles AEB , BEC , are equal , and therefore , the two diago- nals of a rhombus bisect each other at right angles . BOOK II . OF RATIOS AND PROPORTIONS . DEFINITIONS . 46 GEOMETRY .
Side 48
... follows , that magnitudes may be represented by num- bers to any degree of exactness , or they will differ from their numerical representatives by less than any assign- able magnitude . 4. We will illustrate these principles by finding ...
... follows , that magnitudes may be represented by num- bers to any degree of exactness , or they will differ from their numerical representatives by less than any assign- able magnitude . 4. We will illustrate these principles by finding ...
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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.