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 |
Dentro del libro
Resultados 1-5 de 93
Página 12
... problems which arise in the investi- an entirely new field of mathematical re- gation of Analytical Trigonometric formulas . search , contributed much to the advancement These two branches form what may be and perfection of pure Algebra ...
... problems which arise in the investi- an entirely new field of mathematical re- gation of Analytical Trigonometric formulas . search , contributed much to the advancement These two branches form what may be and perfection of pure Algebra ...
Página 13
... problem in alligation medial , we take the following : AL'I - QUOT PART . Such a part of any number or quantity as will exactly divide that number or quantity . Thus , 2 is an aliquot part of 4. 6 , or any even number ; and 1 is an ...
... problem in alligation medial , we take the following : AL'I - QUOT PART . Such a part of any number or quantity as will exactly divide that number or quantity . Thus , 2 is an aliquot part of 4. 6 , or any even number ; and 1 is an ...
Página 14
... problem . find 20 carats for the quality of the mixture . The principle in the last example is in no wise different from that in the former , the apparent difference lying entirely in the lan- guage employed in stating the proposition ...
... problem . find 20 carats for the quality of the mixture . The principle in the last example is in no wise different from that in the former , the apparent difference lying entirely in the lan- guage employed in stating the proposition ...
Página 15
... problem as 5 and 9 , 50 and 90 , 20 and 30 , and so on for an infinite number of pairs of numbers . 18 86432 The result may be easily verified : Taking 5 4 25 bushels of wheat at 120 cents , gives 3000 cents , and 45 bushels of oats at ...
... problem as 5 and 9 , 50 and 90 , 20 and 30 , and so on for an infinite number of pairs of numbers . 18 86432 The result may be easily verified : Taking 5 4 25 bushels of wheat at 120 cents , gives 3000 cents , and 45 bushels of oats at ...
Página 16
... problems than those already discussed may arise ; in fact their number is infinite , but an attentive consideration of the principles discussed will readily present the comparison is said to be made by alter- the proper mode of ...
... problems than those already discussed may arise ; in fact their number is infinite , but an attentive consideration of the principles discussed will readily present the comparison is said to be made by alter- the proper mode of ...
Otras ediciones - Ver todas
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.