Mathematical Dictionary and Cyclopedia of Mathematical Science: Comprising Definitions of All the Terms Employed in Mathematics - an Analysis of Each Branch, and of the Whole, as Forming a Single ScienceA.S. Barnes & Company, 1857 - 592 páginas |
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Página 7
... sphere , we employ the term to express our idea of the abstract magnitude . All numbers are abstract when the unit is abstract . Arithmetic , which treats of the rela- tions and properties of such numbers , is ab- stract arithmetic ...
... sphere , we employ the term to express our idea of the abstract magnitude . All numbers are abstract when the unit is abstract . Arithmetic , which treats of the rela- tions and properties of such numbers , is ab- stract arithmetic ...
Página 21
... sphere on the plane of the meridian . If the projection is made upon the plane of the solstitial co- lure , the equinoctial colure and all circles of latitude will be projected into limited straight lines , respectively equal to their ...
... sphere on the plane of the meridian . If the projection is made upon the plane of the solstitial co- lure , the equinoctial colure and all circles of latitude will be projected into limited straight lines , respectively equal to their ...
Página 28
... SPHERICAL ANGLE is the angle included between the arcs of two great circles of a sphere . A spherical angle is equal to the diedral angle formed by the planes of its sides , and as has already been explained . is the same as that ...
... SPHERICAL ANGLE is the angle included between the arcs of two great circles of a sphere . A spherical angle is equal to the diedral angle formed by the planes of its sides , and as has already been explained . is the same as that ...
Página 45
... sphere has been found equal to 4πr2 , in which r is the radius of the sphere . The area of the surface of a right cone , is equal to rh , in which r is the radius of the base , and the slant height . To apply the third formula ; sines ...
... sphere has been found equal to 4πr2 , in which r is the radius of the sphere . The area of the surface of a right cone , is equal to rh , in which r is the radius of the base , and the slant height . To apply the third formula ; sines ...
Página 52
... sphere on the plane of the equator or of a meridian . A - SYM / ME - TRY . [ Gr . a , priv . , and avμμεтрia , symmetry ] . The want of symme- try of a magnitude . The term has some- times been used as synonymous with incom ...
... sphere on the plane of the equator or of a meridian . A - SYM / ME - TRY . [ Gr . a , priv . , and avμμεтрia , symmetry ] . The want of symme- try of a magnitude . The term has some- times been used as synonymous with incom ...
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Términos y frases comunes
algebraic altitude application arithmetical axes base bisect called centre chords circle circles of latitude co-ordinates cone conic conic sections conic surface conjugate constructed cube curve cycloid decimal deduced degree denote diameter differential co-efficient directrix distance divided divisor draw drawn ellipse equa equal equation expression factors formula fraction function generatrix Geometry given greatest common divisor hence horizontal hyperbola infinite number intersection latitude length logarithm mathematical means measure meridian method multiplied nth root operation ordinate parabola parallel pass perpendicular plane plane of reference polygon polynomial principal vertex principles projection quotient radius ratio regular polygon result rhumb line right angles roots rule scale sides sphere spherical square straight line subtract surface taken tangent term theodolite tion transverse axis triangle Trigonometry unit unknown quantity variable vertex vertical vulgar fraction whole number
Pasajes populares
Página 91 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Página 534 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 7 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Página 281 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Página 472 - Three lines are in harmonical proportion, when the first is to the third, as the difference between the first and second, is to the difference between the second and third ; and the second is called a harmonic mean between the first and third. The expression 'harmonical proportion...
Página 86 - Then multiply the second and third terms together, and divide the product by the first term: the quotient will be the fourth term, or answer.
Página 4 - This cyclopaedia of mathematical science defines, with completeness, precision, and accuracy, every technical term ; thus constituting a popular treatise on each branch and a general view of the whole subject. 50 The National Teachers
Página 281 - If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, they are equal in all their parts.
Página 480 - In any quadrilateral the sum of the squares of the four sides is equal to the sum of the squares of the diagonals, plus four times the square of the line joining the middle points of the diagonals.
Página 140 - Subtract the cube of this number from the first period, and to the remainder bring down the first figure of the next period for a dividend.