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 Science |
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Page 13
... factors , and its aliquot parts AL - GE - BRA'IST . One learned or skilled found . The idea of aliquot parts seems to in Algebra . AL'GO - RITHM . The art of computing in any particular way . We speak of the algo- rithm of numbers ...
... factors , and its aliquot parts AL - GE - BRA'IST . One learned or skilled found . The idea of aliquot parts seems to in Algebra . AL'GO - RITHM . The art of computing in any particular way . We speak of the algo- rithm of numbers ...
Page 37
... factors separately equal to 0 , we find , for the first factor , xa , which gives the first triangle ; and for the second factor , x b - a + 2 + a ± √ √ 1⁄2 ( b − a ) + ( ' + a ) " , · - which will give the second . To construct the ...
... factors separately equal to 0 , we find , for the first factor , xa , which gives the first triangle ; and for the second factor , x b - a + 2 + a ± √ √ 1⁄2 ( b − a ) + ( ' + a ) " , · - which will give the second . To construct the ...
Page 77
... factors in the denominator of a fraction , they may be changed into the numerator by making 1 = Thus , in the expression 2 dx √ a + bx + cx2 ' if we make it reduces to 1 2 - .1 dz √c + bz + az2 ' a form more readily integrated . xc ...
... factors in the denominator of a fraction , they may be changed into the numerator by making 1 = Thus , in the expression 2 dx √ a + bx + cx2 ' if we make it reduces to 1 2 - .1 dz √c + bz + az2 ' a form more readily integrated . xc ...
Page 82
... factors are found in both dividend and divisor , the operation of division is often much simplified by canceling such factors as are common to both . CAN - CEL - LATION . The operation of canceling . CAR'AT . [ Fr. carat , weight for ...
... factors are found in both dividend and divisor , the operation of division is often much simplified by canceling such factors as are common to both . CAN - CEL - LATION . The operation of canceling . CAR'AT . [ Fr. carat , weight for ...
Page 102
... factors . Now , since every fraction whose denominator is a multiple of either 2 or 5 can be expressed by a decimal ... factors : one of which is the given numerator divided by the product of all the prime factors which are equal to ...
... factors . Now , since every fraction whose denominator is a multiple of either 2 or 5 can be expressed by a decimal ... factors : one of which is the given numerator divided by the product of all the prime factors which are equal to ...
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Common terms and phrases
algebraic altitude application arithmetical axes base bisect called centre chords circle circles of latitude co-ordinates cone conic sections conic surface conjugate constructed cube cubic equation curve cycloid decimal deduced degree denote diameter difference directrix distance divided divisor draw drawn elements 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 operation ordinate parabola parallel pass perpendicular plane plane of reference polygon polynomial positive 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
Popular passages
Page 279 - 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.
Page 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.
Page 26 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Page 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.
Page 527 - A sphere is a solid bounded by a curved surface, every point of which is equally distant from a point within called the center.
Page 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...
Page 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.
Page 419 - If one angle of a parallelogram is a right angle, all the other angles are right angles, and the figure is a rectangle.
Page 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.