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 34
Side v
... Ratios and Proportions , .... 47 BOOK III . The Circle , and the Measurement of Angles , ... Problems relating to the First and Third Books ,. BOOK IV . 57 76 565 Proportions of Figures - Measurement of Areas , Problems relating to the ...
... Ratios and Proportions , .... 47 BOOK III . The Circle , and the Measurement of Angles , ... Problems relating to the First and Third Books ,. BOOK IV . 57 76 565 Proportions of Figures - Measurement of Areas , Problems relating to the ...
Side 46
... therefore 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 .
... therefore 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 47
... ratio of A to B is expressed by B A A and B are called the terms of the ratio ; the first 18 called the antecedent , and the second , the consequent . 3. The ratio of magnitudes may be expressed by num bers , either exactly or ...
... ratio of A to B is expressed by B A A and B are called the terms of the ratio ; the first 18 called the antecedent , and the second , the consequent . 3. The ratio of magnitudes may be expressed by num bers , either exactly or ...
Side 48
... ratio between the straight lines CD and AB , which we will suppose commensurable . From the greater line AB , cut off a part equal A C to the less CD , as many times as possible ; for ex- ample , twice , with the remainder BE From the ...
... ratio between the straight lines CD and AB , which we will suppose commensurable . From the greater line AB , cut off a part equal A C to the less CD , as many times as possible ; for ex- ample , twice , with the remainder BE From the ...
Side 49
... ratio in numbers . Suppose , for instance , we find GB to be contained exactly twice in FD ; BG will be the common measure of the two proposed lines . Put BG = 1 ; we shall then have , FD = 2 ; but EB contains FD once , plus GB ...
... ratio in numbers . Suppose , for instance , we find GB to be contained exactly twice in FD ; BG will be the common measure of the two proposed lines . Put BG = 1 ; we shall then have , FD = 2 ; but EB contains FD once , plus GB ...
Andre utgaver - Vis alle
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
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.