# Analytical Institutions in Four Books: Originally Written in Italian, Volumes 1-2

Taylor and Wilks, 1801 - Calculus
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Page xxvii - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page xlii - To express that the ratio of A to B is equal to the ratio of C to D, we write the quantities thus : A : B : : C : D; and read, A is to B as C to D.
Page xxvii - Multiply the index of the quantity by the index of the power to which it is to be raised, and the result will be the power required.
Page vii - An Essay on the Learning, Genius, and Abilities, of the Fair-Sex Proving Them not Inferior to Man, from a Variety of Examples, Extracted from...
Page v - when I went to this conversation party, that it was only to converse with this young lady in the usual way, though on learned subjects ; but instead of this, my introducer made a fine harangue to the lady in Latin, with the formality of a college declamation. She answered with great readiness in the same language.
Page 14 - It has also been seen that a fraction is divided by a fraction by multiplying the numerator of the dividend by the denominator of the divisor, for the numerator of the quotient, and the denominator of the dividend by the numerator of the divisor, for the denominator of the quotient ; and that this multiplication becomes direct as in multiplying for a product, if the divisor is inverted.
Page v - President of the Parliament of Dijon, and Member of the Royal Academy of Inscriptions and Belles Lettres of Paris.
Page 134 - The coefficient of the fecond term is the fum of all the roots a^ b, c, m, &c' with their figns changed. The coefficient of the third term is the fum of all the products that can be made by multiplying any two of the roots together. The coefficient of the fourth term is the fum of all the products...