CONTENTS.

SECT. VIII.

Of the Reduction os fractional andsurd Quantities. 4s

SECT. IX.

Of Equations , and how a Problem is brought to an

« Equation. qj

Of the Reduction of single Equations. 60

Of the Extermination of unknown Quantities, or theReduction of two or more Equations to a single one. 67

SECT. X.

Of Arithmetical and Geometrical Proportions. 70

'1 m

SECT. XI.

1 he Solution of Arithmetical Problems. 77

sect: xii.

Of the Origin and Compos tim of Equations of severalDimensions. , 125

A Way to know whether some .or all the Roots of anEquation be rational Or not I, and, if they be, whatthey are. 127

Another way of discovering the fame Thing, by Meansof Sir Isaac Newton’* Method of Divisors, togetherwith an Explanation oj that Method. 15a

Of the Resolution of cubic Equations according to Car-dan, and the fame Method extended to other , moredifficult Cafes. 138

Of the Resolution of biquadratic Equations accordingto Des Cartes. 143

2 Of