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 páginas |
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Página 9
... difference be- tween the terms , extension and solid , is simply this : the former denotes a limited portion of space , viewed in the abstract , while the latter denotes such a portion occupied by matter . The term , Solid , is ...
... difference be- tween the terms , extension and solid , is simply this : the former denotes a limited portion of space , viewed in the abstract , while the latter denotes such a portion occupied by matter . The term , Solid , is ...
Página 18
... difference , or what remains after B is taken from A ; and A - B + C , or A + C - B , sig- nifies that A and C are to be added together , and that B is to be subtracted from their sum . 6. The sign X indicates multiplication : thus AXB ...
... difference , or what remains after B is taken from A ; and A - B + C , or A + C - B , sig- nifies that A and C are to be added together , and that B is to be subtracted from their sum . 6. The sign X indicates multiplication : thus AXB ...
Página 26
... difference between any two sides of a triangle is less than the third side . PROPOSITION VIII . THEOREM . If from any point within a triangle , two straight lines be drawn to the extremities of either side , their sum will be less than ...
... difference between any two sides of a triangle is less than the third side . PROPOSITION VIII . THEOREM . If from any point within a triangle , two straight lines be drawn to the extremities of either side , their sum will be less than ...
Página 47
... difference . Thus , of two magnitudes , one may be considered to be divided into some number of equal parts , each of the same kind as the whole , and regarding one of these parts as a unit of measure , the magnitude may be expressed by ...
... difference . Thus , of two magnitudes , one may be considered to be divided into some number of equal parts , each of the same kind as the whole , and regarding one of these parts as a unit of measure , the magnitude may be expressed by ...
Página 50
... difference of the antecedent and consequent is compared either with antecedent or consequent . 13. Equimultiples of two quantities are the products which arise from multiplying the quantities by the same number : thus , m × A , m × B ...
... difference of the antecedent and consequent is compared either with antecedent or consequent . 13. Equimultiples of two quantities are the products which arise from multiplying the quantities by the same number : thus , m × A , m × B ...
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Términos y frases comunes
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
Pasajes populares
Página 27 - If two triangles have two sides of the one equal to two sides of the...
Página 227 - A spherical triangle is a portion of the surface of a sphere, bounded by three arcs of great circles.
Página 256 - The logarithm of . the quotient of two numbers, is equal to the logarithm of the dividend diminished by the logarithm of the divisor.
Página 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.
Página 26 - The sum of any two sides of a triangle is greater than the third side.
Página 271 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees...
Página 93 - The area of a parallelogram is equal to the product of its base and altitude.
Página 358 - CUBIC MEASURE 1728 cubic inches = 1 cubic foot 27 cubic feet = 1 cubic yard...
Página 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.
Página 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.