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 2
... taken in the arrangement and gradation of the lessons , in the character of the questions , and in the full , clear , and logical forms of the analysis . New School Arithmetic , ANALYTICAL AND PRACTICAL , is a complete and thorough ...
... taken in the arrangement and gradation of the lessons , in the character of the questions , and in the full , clear , and logical forms of the analysis . New School Arithmetic , ANALYTICAL AND PRACTICAL , is a complete and thorough ...
Página 13
... taken any number of times , the result will be either greater or less than the given number : thus , 4 is an ali- quant part of 10 , because , being taken twice , the result is 8 , a number less than 10 , and being taken three times ...
... taken any number of times , the result will be either greater or less than the given number : thus , 4 is an ali- quant part of 10 , because , being taken twice , the result is 8 , a number less than 10 , and being taken three times ...
Página 14
... taken . We shall have , as before , ( a + b ) x + ( a− c ) y = a ( x + y ) ( 1 ) . Whence , by reduction , we find Or , I y = bxcy = 0 ( 2 ) . C ō'a relation which shows that any two values of y and x which are to each other as b is to ...
... taken . We shall have , as before , ( a + b ) x + ( a− c ) y = a ( x + y ) ( 1 ) . Whence , by reduction , we find Or , I y = bxcy = 0 ( 2 ) . C ō'a relation which shows that any two values of y and x which are to each other as b is to ...
Página 20
... taken at 0.08 , being about 0.06 in summer , and 0.10 in winter . modulus of common system of lo- garithms . M 8 " " 6 To insure accuracy , the zenith distance should be observed for several days , and a mean of the whole taken ; the ...
... taken at 0.08 , being about 0.06 in summer , and 0.10 in winter . modulus of common system of lo- garithms . M 8 " " 6 To insure accuracy , the zenith distance should be observed for several days , and a mean of the whole taken ; the ...
Página 22
... taken from the works of the author above mentioned . 66 " Let it be required to draw two straight lines AC and AB through the extremities of a given arc of a circle , and meeting each other on the circumference , so that they shall bear ...
... taken from the works of the author above mentioned . 66 " Let it be required to draw two straight lines AC and AB through the extremities of a given arc of a circle , and meeting each other on the circumference , so that they shall bear ...
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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.