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 |
From inside the book
Results 1-5 of 18
Page 89
... vulgar fraction is equal to the number of places of figures in the numerator minus the number of places of figures in the denominator . maps , may be constructed according to any of the methods of spherical projection ; but the method ...
... vulgar fraction is equal to the number of places of figures in the numerator minus the number of places of figures in the denominator . maps , may be constructed according to any of the methods of spherical projection ; but the method ...
Page 101
... vulgar fraction by taking that part which 13'888888 ' .. 7.5'434343 ′ .. and .04`354354 ' .. precedes the first figure of the repetend and 3. Any circulating decimal may be written reducing it to the form of a vulgar fraction , under ...
... vulgar fraction by taking that part which 13'888888 ' .. 7.5'434343 ′ .. and .04`354354 ' .. precedes the first figure of the repetend and 3. Any circulating decimal may be written reducing it to the form of a vulgar fraction , under ...
Page 102
... fraction into an equivalent circulating de- off , according to the rule , we shall have cimal . IV . To divide one circulating decimal by another . Transform each into an equivalent vulgar fraction and divide ; after which , transform ...
... fraction into an equivalent circulating de- off , according to the rule , we shall have cimal . IV . To divide one circulating decimal by another . Transform each into an equivalent vulgar fraction and divide ; after which , transform ...
Page 107
... vulgar fraction , are commen- surable . All radicals are incommensurable by any unit , either 1 , or a part of 1 . 2 = m ( m - 1 ) ( m2 ) 1.2 . 3 ... ( m- · n + 1 ) .... N ( 1 ) . That is , the whole number of combinations of m factors ...
... vulgar fraction , are commen- surable . All radicals are incommensurable by any unit , either 1 , or a part of 1 . 2 = m ( m - 1 ) ( m2 ) 1.2 . 3 ... ( m- · n + 1 ) .... N ( 1 ) . That is , the whole number of combinations of m factors ...
Page 132
... fraction of the nth order . Every approximating fraction of an odd order is greater than the true value of the ... vulgar fraction into a continued fraction : divide the greater term of the fraction by the less , and the last divisor by ...
... fraction of the nth order . Every approximating fraction of an odd order is greater than the true value of the ... vulgar fraction into a continued fraction : divide the greater term of the fraction by the less , and the last divisor by ...
Other editions - View all
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.