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

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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

abſciſs alſo angle arch ariſe aſymptotes axis becauſe become called caſe centre circle common conſtant conſtructed contrary curve denominator deſcribed determined diameter difference differential dimenſions divided diviſor drawing equal equation example exponent firſt fluxion formula fourth fraction give given greater hyperbola infinite inſtead integral it's known laſt leſs Let the equation locus logarithmic manner means method multiplied muſt negative obſerved ordinate parabola parallel perpendicular poſitive Problem proceed propoſed equation putting quantity quotient radical radius rectangle reduced remain right line roots rules ſame ſecond ſhall ſhould ſide ſigns ſimilar ſome ſpace ſquare ſubſtitution ſubtangent ſubtracted ſuch ſuppoſed taken taking tangent term theſe third thoſe triangles 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...