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 28
Side 15
... perimeter . 19. The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; that of seven , a heptagon ; that of eight , an ...
... perimeter . 19. The polygon of three sides , the simplest of all , is called a triangle ; that of four sides , a quadrilateral ; that of five , a pentagon ; that of six , a hexagon ; that of seven , a heptagon ; that of eight , an ...
Side 116
... perimeters of similar polygons are to each other as their homologous sides : and the polygons are to each other as the squares described on these sides . Let AEDCB and FKIHG , be two similar polygons : then per . AEDCB : per . FKIHG ...
... perimeters of similar polygons are to each other as their homologous sides : and the polygons are to each other as the squares described on these sides . Let AEDCB and FKIHG , be two similar polygons : then per . AEDCB : per . FKIHG ...
Side 117
... perimeter of the first poly- gon , is to the sum of the consequents FG + GH + HI , & c . , which makes up the perimeter of the second polygon , as any one antecedent is to its consequent ( B. II . , P. 10 ) ; that is , as AB to FG , or ...
... perimeter of the first poly- gon , is to the sum of the consequents FG + GH + HI , & c . , which makes up the perimeter of the second polygon , as any one antecedent is to its consequent ( B. II . , P. 10 ) ; that is , as AB to FG , or ...
Side 121
... perimeter multiplied by half the radius of the inscribed circle . D B For , the triangles AOB , BOC , AOC , which have a common vertex at 0 , have for their common altitude the radius of the inscribed circle ; hence , the sum of these ...
... perimeter multiplied by half the radius of the inscribed circle . D B For , the triangles AOB , BOC , AOC , which have a common vertex at 0 , have for their common altitude the radius of the inscribed circle ; hence , the sum of these ...
Side 135
... perimeters of two regular polygons of the same number of sides , are to each other as their homolo- gous sides , and their surfaces are to each other as the squares of those sides ( B. IV . , P. 27 ) . Cor . 2. The angle of a regular ...
... perimeters of two regular polygons of the same number of sides , are to each other as their homolo- gous sides , and their surfaces are to each other as the squares of those sides ( B. IV . , P. 27 ) . Cor . 2. The angle of a regular ...
Andre utgaver - Vis alle
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.