The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice for This Art (Classic Reprint)

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Excerpt from The Theory and Practice of Surveying: Containing All the Instructions Requisite for the Skillful Practice for This Art

If we suppose unity or any one thing to be di vided into any assigned number Of equal parts, this 'number is called the denominator; and if we chuse to take any number Of such parts less thmthe whole, this is called the numerator Of a fraction. The numerator, in the vulgar form, is always written over the denominator, and these are sepa rated by a small line thus 3, or; the first Of these is called three-fourths, and the latter five-eighth; of an inch, yard, &c. Or of whatever the whole thing originally consisted the 4 and the 8 are the denominators, showing into how many equal parts the unit is divided 5 and the three and the five are the numerators, showing how many of those parts are under consideration. F ractions are ex eased in two. Forms, that is, either vulgarly or ecimaily. All fractions whose denominators-do not consist Of a cipher, or ciphers, set after unity, led vulgar and their denominators are always written under their numerators. The treatment Of these, however, would be foreign to our pre sent purpose. But fractions whose denominators consist of an unit refixed to one or more ciphers, are called decis fractions the numerators of which are written Without their denominators, and are distinguished from integers by a point prefixed: thus £5, Pris and fat, in the decimal form, are expressed by 2 42 172.

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