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I. Solution of Pure Equations 100
II. Solution of Adfected Qua-
dratic Equations
III. Solution of Questions produ-
cing Quadratic Equations
Page 79
81
103
108
1. Examples of the Ufe of Loga-
rithms in refolving Alge-
braical Questions
148
II.
Of the General Properties and Refolution
of Equations of all Orders.
Chap. I. Of the Origin and Compofition
of Equations, and of the
Signs and Coefficients of
II. Solution of Equations whofe
Roots are Commenfurate Page 198
III. Examples of Questions producing
the higher Equations
IV. Solution of Equations by Appro-
ximation
202
205
PART
III.
Of the Application of Algebra to Geometry.
Chap. I. General Principles
I. Of the Algebraical Expreffion of
Geometrical Magnitudes
211
213
II. The Demonftration of Theorems 217
III. Of the Solution of Problems
Chap. II. Of the Definition of Lines by
Equations
I. The Determination of the Figure
218
229
of a Curve from its Equation 235
II. General Properties of Curves from
their Equations
241
III. The Subdivifion of Curves
244
IV.
No. VI. Arithmetic of Sines, &c.
43
1
Aberdeen, April 1. 1778.
ADVERTISEMENT.
The following Syllabus was drawn up for the Ufe of Students who were to attend the Lectures of the Author; and is not intended to fuperfede the perusal of a more complete Syftem of Algebra.