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I. Containing the Analysis of Determinate Quantities.- Section I.
Of the Different Methods of calculating Simple Quantities.- Chap.
I. Of Mathematics in general.- II. Explanation of the signs + plus
and - minus.- III. Of the Multiplication of Simple Quantities.- IV.
Of the Nature of whole Numbers, or Integers, with respect to their
Factors.- V. Of the Division of Simple Quantities.- VI. Of the
Properties of Integers, with respect to their Divisors.- VII. Of
Fractions in general.- VIII. Of the Properties of Fractions.- IX.
Of the Addition and Subtraction of Fractions.- X. Of the
Multiplication and Division of Fractions.- XI. Of Square Numbers.-
XII. Of Square Roots, and of Irrational Numbers resulting from
them.- XIII. Of Impossible, or Imaginary Quantities, which arise
from the same source.- XIV. Of Cubic Numbers.- XV. Of Cube Roots,
and of Irrational Numbers resulting from them.- XVI. Of Powers in
general.- XVII. Of the Calculation of Powers.- XVIII. Of Roots,
with relation to Powers in general.- XIX. Of the Method of
representing Irrational Numbers by Fractional Exponents.- XX. Of
the different Methods of Calculation, and of their Mutual
Connexion.- XXI. Of Logarithms in general.- XXII. Of the
Logarithmic Tables now in use.- XXIII. Of the Method of expressing
Logarithms.- Section II. Of the different Methods of calculating
Compound Quantities.- Chap. 1. Of the Addition of Compound
Quantities.- II. Of the Subtraction of Compound Quantities.- III.
Of the Multiplication of Compound Quantities.- IV. Of the Division
of Compound Quantities.- V. Of the Resolution of Fractions into
Infinite Series.- VI. Of the Squares of Compound Quantities.- Chap.
VII. Of the Extraction of Roots applied to Compound Quantities.-
VIII. Of the Calculation of Irrational Quantities.- IX. Of Cubes,
and of the Extraction of Cube Roots.- X. Of the higher Powers of
Compound Quantities.- XI. Of the Transposition of the Letters, on
which the demonstration of the preceding Rule is founded.- XII. Of
the Expression of Irrational Powers by Infinite Series.- XIII. Of
the Resolution of Negative Powers.- Section III. Of Ratios and
Proportions.- Chap. I. Of Arithmetical Ratio, or of the Difference
between two Numbers.- II. Of Arithmetical Proportion.- III. Of
Arithmetical Progressions.- IV. Of the Summation of Arithmetical
Progressions.- V. Of Figurate, or Polygonal Numbers.- VI. Of
Geometrical Ratio.- VII. Of the greatest Common Divisor of two
given Numbers.- VIII. Of Geometrical Proportions.- IX. Observations
on the Rules of Proportion and their Utility.- X. Of Compound
Relations.- XI. Of Geometrical Progressions.- XII. Of Infinite
Decimal Fractions.- XIII. Of the Calculation of Interest.- Section
IV. Of Algebraic Equations, and of the Resolution of those
Equations.- Chap. I Of the Solution of Problems in General.- II. Of
the Resolution of Simple Equations, or Equations of the First
Degree.- III. Of the Solution of Questions relating to the
preceding Chapter.- IV. Of the Resolution of two or more Equations
of the First Degree.- V. Of the Resolution of Pure Quadratic
Equations.- VI. Of the Resolution of Mixed Equations of the Second
Degree.- VII. Of the Extraction of the Roots of Polygonal Numbers.-
VIII. Of the Extraction of Square Roots of Binomials.- Chap. IX. Of
the Nature of Equations of the Second Degree.- X. Of Pure Equations
of the Third Degree.- XI. Of the Resolution of Complete Equations
of the Third Degree.- XII. Of the Rule of Cardan, or of Scipio
Ferreo.- XIII. Of the Resolution of Equations of the Fourth
Degree.- XIV. Of the Rule of Bombelli for reducing the Resolution
of Equations of the Fourth Degree to that of Equations of the Third
Degree.- XV. Of a new Method of resolving Equations of the Fourth
Degree.- XVI. Of the Resolution of Equations by Approximation.- II.
Containing the Analysis of Indeterminate Quantities.- Chap. I. Of
the Resolution of Equations of the first Degree, which contain more
than one unknown Quantity.- II. Of the Rule which is c
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artifact, or were introduced by the scanning process. We believe
this work is culturally important, and despite the imperfections,
have elected to bring it back into print as part of our continuing
commitment to the preservation of printed works worldwide. We
appreciate your understanding of the imperfections in the
preservation process, and hope you enjoy this valuable book.
This is an EXACT reproduction of a book published before 1923. This
IS NOT an OCR'd book with strange characters, introduced
typographical errors, and jumbled words. This book may have
occasional imperfections such as missing or blurred pages, poor
pictures, errant marks, etc. that were either part of the original
artifact, or were introduced by the scanning process. We believe
this work is culturally important, and despite the imperfections,
have elected to bring it back into print as part of our continuing
commitment to the preservation of printed works worldwide. We
appreciate your understanding of the imperfections in the
preservation process, and hope you enjoy this valuable book.
This is an EXACT reproduction of a book published before 1923. This
IS NOT an OCR'd book with strange characters, introduced
typographical errors, and jumbled words. This book may have
occasional imperfections such as missing or blurred pages, poor
pictures, errant marks, etc. that were either part of the original
artifact, or were introduced by the scanning process. We believe
this work is culturally important, and despite the imperfections,
have elected to bring it back into print as part of our continuing
commitment to the preservation of printed works worldwide. We
appreciate your understanding of the imperfections in the
preservation process, and hope you enjoy this valuable book.
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Danielle Steel
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R340
R292
Discovery Miles 2 920
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