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, 1857 - 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 . then Let AEDCB and FKIHG , be two similar polygons : per . AEDCB : First . Since ...
... 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 . then Let AEDCB and FKIHG , be two similar polygons : per . AEDCB : First . Since ...
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 . 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 tri ...
... perimeter multiplied by half the radius of the inscribed circle . 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 tri ...
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 ...
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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 Adrien Marie Legendre,Charles Davies Uten tilgangsbegrensning - 1861 |
Vanlige uttrykk og setninger
altitude angle ACB angle BAD bisect centre chord circ circumference circumscribed common comp cone consequently convex surface cos² cosine Cotang cubes 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 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 similar triangles sin² sine slant height solidity sphere spherical polygon spherical triangle square described straight line Tang tangent THEOREM three angles triangle ABC triangular prism triedral angles vertex vertices
Populære avsnitt
Side 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Side 34 - If two right-angled triangles have the hypothenuse and a side of the one, equal to the hypothenuse and a side of the other, each to each, the triangles are equal. Let...
Side 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Side 278 - In any triangle, the sum of the two sides containing either angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference.
Side 107 - If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent.
Side 1 - O's, points or dots are introduced instead of the 0's through the rest of the line, to catch the eye, and to indicate that from thence the annexed first two figures of the Logarithm in the second column stand in the next lower line. N'.
Side 43 - BtSL hence the sum of all the interior and exterior angles, is equal to twice as many right angles as the polygon has sides.
Side 119 - The angle formed by a tangent and a chord is measured by half the intercepted arc.
Side 30 - B : hence the two triangles have two sides and the included angle of the one equal to two sides and the included angle of the other, each to each : hence, the two triangles are equal (Th.
Side 97 - The square described on the hypothenuse of a rightangled triangle is equal to the sum of the squares described on the other two sides.