The Philosophy of Arithmetic as Developed from the Three Fundamental Processes of Synthesis, Analysis, and Comparison: Containing Also a History of Arithmetic

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Sower, Potts & Company, 1876 - 570 páginas
 

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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.

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