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
... variables . It may be demonstrated that tities only . when the absolute term is 0 , the geometrical | What is usually termed Abstract Mathe matics , or pure mathematics , involves the tra - A B S ] 7 CYCLOPEDIA OF MATHEMATICAL SCIENCE ...
... variables . It may be demonstrated that tities only . when the absolute term is 0 , the geometrical | What is usually termed Abstract Mathe matics , or pure mathematics , involves the tra - A B S ] 7 CYCLOPEDIA OF MATHEMATICAL SCIENCE ...
Página 24
... variable elements are express - develop geometrical truths , they have little ed by means of equations , the number of in common . Indeed the two methods are which must in every case , be less than the so radically different from each ...
... variable elements are express - develop geometrical truths , they have little ed by means of equations , the number of in common . Indeed the two methods are which must in every case , be less than the so radically different from each ...
Página 27
... variable angle is the angular element of reference , lying between the initial line and the radius vector . Besides the plane angles already enumera- ted , there are various angular shaped portions of planes , which have received names ...
... variable angle is the angular element of reference , lying between the initial line and the radius vector . Besides the plane angles already enumera- ted , there are various angular shaped portions of planes , which have received names ...
Página 42
... variables , which will satisfy the equation . What has been shown in this case , is in general true for all other cases ; hence , the distinction between arbitrary constants and variables is this : given values may be attribu- ted , at ...
... variables , which will satisfy the equation . What has been shown in this case , is in general true for all other cases ; hence , the distinction between arbitrary constants and variables is this : given values may be attribu- ted , at ...
Página 45
... variables x and y ; combine these partial differential equations with the equation of the surface , and dz dz find expressions for and and substi- dx dy ' tute them in the formula ; integrate first with respect to x , between any two ...
... variables x and y ; combine these partial differential equations with the equation of the surface , and dz dz find expressions for and and substi- dx dy ' tute them in the formula ; integrate first with respect to x , between any two ...
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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.