I. The fundamental RULES and OPERATIONS.
II. The COMPOSITION and RESOLUTION of
EQUATIONS of all DEGREES; and the
different AFFECTIONS of their Roots.
III. The APPLICATION of ALGEBRA and GEO-
METRY to each other.

To which is added an

APPENDIX,

Concerning the general PROPERTIES of
GEOMETRICAL LINES.

By COLIN MACLAURIN, M. A.
Late Profeffor of MATHEMATICKS in the University of
EDINBURGH, and FELLOW of the ROYAL SOCIETY.

The SECOND EDITION.

LONDON,

Printed for A. MILLAR and J. NOURSE, oppofite
Katherine-Street in the Strand.

MDCCLVI.

2 m.

QA
35
•M161

1756

ん

Prof. Alex. Zivet

gt.

2-72-1923

As a testimony of GRATITUDE for the
friendship and generous protection, with
which HIS GRACE was pleased to honour
my deceased husband,

THIS

TREATISE

IS INSCRIBED,

BY HIS GRACE'S

MOST OBLIGED

AND,

OBEDIENT HUMBLE SERVANT,

ANNE MACLAURIN;

417647

TO THЕ

READER.

T

HAT Mr.MACLAURIN had, many years ago, intended to publish a TreaXxx tife on this fubject, appears from à letter, dated April 19, 1729, to his honoured friend MARTIN FOLKES, Efq; now Prefident of the Royal Society *. And we find, in one of his Manufcripts, the Plan of fuch a Work, agreeing, almoft in every article, with the contents of this Volume.

Had the celebrated Author lived to publish his own Work, his name would, alone, have been fufficient to recommend it to the notice of the Publick: but that Task having, by his lamented premature death, devolved to the gentlemen whom he left entrusted with his Papers, the Reader may reafonably expect some account of the materials of which it confifts, and of the care that has been taken in collecting and difpofing them, fo as best to answer the Author's intention, and fill up the Plan he had defigned.

* Phil. Tranf. No 408.