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 |
Inni boken
Resultat 1-5 av 65
Side vii
... Square , Rectangle , or Parallelogram ,. 347 Area of a Triangle , - 348 Area of a Trapezoid , - 350 Area of a Quadrilateral , .. 351 Area of an Irregular Polygon , .. 351 Area of a Long and Irregular Figure bounded on One Side by a ...
... Square , Rectangle , or Parallelogram ,. 347 Area of a Triangle , - 348 Area of a Trapezoid , - 350 Area of a Quadrilateral , .. 351 Area of an Irregular Polygon , .. 351 Area of a Long and Irregular Figure bounded on One Side by a ...
Side 17
... square , which is both equilat- eral and equiangular . 26. A DIAGONAL of a figure is a line which joins the vertices of two angles not adjacent . 27. A base of a plane figure is one of its sides on which it may be supposed to stand ...
... square , which is both equilat- eral and equiangular . 26. A DIAGONAL of a figure is a line which joins the vertices of two angles not adjacent . 27. A base of a plane figure is one of its sides on which it may be supposed to stand ...
Side 19
... square of the line AB is designated by AB ; its cube by AB . What is meant by the square and cube of a line , will be explained in its proper place . 9. The sign indicates a root to be extracted ; thus ✓2 means the square - root of 2 ...
... square of the line AB is designated by AB ; its cube by AB . What is meant by the square and cube of a line , will be explained in its proper place . 9. The sign indicates a root to be extracted ; thus ✓2 means the square - root of 2 ...
Side 42
... square , is a right angle ( D. 25 ) . Cor . 2. The sum of the interior angles of a pentagon is equal to two right angles multiplied by 5-2 , which amounts to six right angles : hence , when a pentagon is equiangular , each angle is ...
... square , is a right angle ( D. 25 ) . Cor . 2. The sum of the interior angles of a pentagon is equal to two right angles multiplied by 5-2 , which amounts to six right angles : hence , when a pentagon is equiangular , each angle is ...
Side 51
... square of the mean ( D. 8 ) . For , if N = P , we have 2 MXQ = N ° or P2 . PROPOSITION II . THEOREM . If the product of two magnitudes be equal to the product of two other magnitudes , two of them may be made the ex- tremes and the ...
... square of the mean ( D. 8 ) . For , if N = P , we have 2 MXQ = N ° or P2 . PROPOSITION II . THEOREM . If the product of two magnitudes be equal to the product of two other magnitudes , two of them may be made the ex- tremes and the ...
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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 |
Elements of Geometry and Trigonometry from the Works of A.M. Legendre ... Charles Davies Uten tilgangsbegrensning - 1872 |
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.