The Philosophy of Arithmetic as Developed from the Three Fundamental Processes of Synthesis, Analysis, and Comparison: Containing Also a History of Arithmetic
Sower, Potts & Company, 1876 - 570 páginas
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added addition adopted analysis appears applied Arabic arithmetic base basis beginning bers called cent CHAPTER characters circulate coins common common fraction compared comparison considered consists contained continued cube decimal definition denominator derived difference digits distinct divided division employed equal expressed factors figures five four fraction fundamental geometry give given greatest hence hundred idea illustrate indicated interest Italy known length less letters means measure method multiplication nature nearly nine notation object obtained operations origin periods pound practice presented prime principle problem proportion quantity quotient ratio readily reasoning reduce regarded relation remainder repetend represent result root rule says scale seen similar simple square standard subtraction supposed symbol tens term things third thought tion true truths units weight write
Página 181 - Multiplication is the process of taking one number as many times as there are units in another number.
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.