Analytical Institutions in Four Books: Originally Written in Italian, Volumes 1-2Taylor and Wilks, 1801 - Calculus |
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Analytical Institutions in Four Books: Originally Written in Italian Maria Gaetana Agnesi,John Hellins,John D. Colson No preview available - 2022 |
ANALYTICAL INSTITUTIONS IN 4 B Maria Gaetana 1718-1799 Agnesi,John D. 1760 Colson,John Hellins No preview available - 2016 |
ANALYTICAL INSTITUTIONS IN 4 B Maria Gaetana 1718-1799 Agnesi,John Hellins,John D. 1760 Colson No preview available - 2016 |
Common terms and phrases
abfcifs affumed afymptotes alfo algebräical alſo angle Apollonian arch arife axis becauſe cafe circle co-efficient compariſon confequently conftant quantity conftructed correfponding cubic parabola curve defcribed denominator diameter differential dimenfions divided divifion divifor drawing ellipfis equal example exponent expreffed expreffion faid fame fecond term feries fhall fhould fide fign fimilar triangles fimple firft firſt fluxion folid fome formula fquare fraction fubftitution fubtangent fubtracted fuch fuppofed fuppofition given hyperbola infinite infinitefimal inſtead integral interfection laft lefs Let the equation locus logarithmic multiplied muſt negative obferved ordinate parabola parallel perpendicular pofitive Problem progreffion propofed equation quotient radius radius of curvature raiſed rectangle reduced refolved refpect right line roots ſhall ſpace ſubſtitution taking tangent thefe theſe thofe thoſe unknown quantity uſe variable vinculum whence Wherefore
Popular passages
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...