The Philosophy of Arithmetic as Developed from the Three Fundamental Processes of Synthesis, Analysis, and Comparison: Containing Also a History of ArithmeticSower, Potts & Company, 1876 - 570 páginas |
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Términos y frases comunes
adopted Albert Girard algebra analysis apples Arabic system arithmetic arithmetical progression Avoirdupois bers called cent characters ciphers circulate coins common fraction common multiple comparison composite numbers consists contained continued fraction cube root cubic decimal fractions decimal scale definition Denominate Number denote derived difference digits divided dividend dominical letter elementary equal factors figures five four fractional units fundamental geometry given greatest common divisor hence idea illustrate integers Julius Cæsar large numbers least common multiple length letters mathematicians measure method metic minuend nature nine number expressed number is divisible obtained odd numbers operations origin periods pound presented prime number principle problem proportion quantity quotient ratio readily reasoning reckoned reduce regarded relation remainder repetend Roman rule seen sexagesimal simple square root standard Stevinus subtraction supposed symbol synthesis synthetic term tion Troy pound truths twelve weight whole number write
Pasajes populares
Página 181 - Multiplication is the process of taking one number as many times as there are units in another number.
Página 171 - All men are mortal, Socrates is a man, therefore Socrates is mortal, the subject and predicate of the major premiss are connotative terms, denoting objects and connoting attributes.
Página 298 - When a ray of light passes from one medium to another, it is refracted so that the ratio of the sine of the angle of incidence to the sine of the angle of refraction is equal to the ratio of the velocities in the two media.
Página 273 - Multiply the divisor thus increased, by the last figure of the root ; subtract the product from the dividend, and to the remainder bring down the next period for a new dividend. 5th. Double the whole root already found, for a new divisor, and continue the operation as before, until all the periods are brought down. NOTE.
Página 173 - Things that are equal to the same thing are equal to each other; " and if they are severally unequal, we have a case of mean proportionals. In the second form, if A, B, and C...
Página 267 - The square root of a number is one of its two equal factors.
Página 298 - Therefore the specific gravity of a solid or a liquid body, is the ratio of its weight to the weight of an equal volume of water...
Página 207 - Addition is the process of finding the sum of two or more numbers.
Página 281 - Multiply the complete divisor by the trial figure, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Página 508 - A Cord of wood is a pile 8 feet long, 4 feet wide, and 4 feet high.