A treatise of algebra, in three parts. Containing

11쪽

is in ite convergin series it remine ovillust η Pr the motion in Equation involving tuo variabis quantities, and of Geometrica lines tet

14쪽

Diuiti

15쪽

CONTENTS

PAR I

DEFINITION, dilustratiora

IV. O Multiplication

PART

16쪽

f the Genesis and Resolution DEquation o alidegrees and of the different rictions of the

III. O G sana nation V quatuns, an exterminatin thei intermediate

t. o more of the root are qua to

17쪽

ther.

cur 1, in genera - 96 II of the Construction os quadratic equa . tions and the Properties of the lines of the sconcorde se a

De Linearum Geometricarum Proprietatibus generalibu a 9

Appendix heinia Treatist concerning the generes Properties of Geometrical Lines An

18쪽

TREATIS E

putatio by certain signs and θm is te hoe been contrivedior this purpost, and Min convenienti It is calle an vivEasALARITHMETiox, and procred by operations andrules simila to thole in common arithmetich. Dunde πω the fame principies This, hoWever, is no argumen against iis inestines ore, doce since arithmetic is notaesta the lassoluta

19쪽

one os the mos char an evident of the sciences Bullas a number of symbolscire admi te into his science, eing necessat sortivingit that extent and generalit whichris it greatest excellence the lupori of thos symbolscis to heclearly stated thatis obicurii or error may aris stoin the frequentisse an complicationis

by a line, triangles by a Diangle, an other figures is a figure of the fame ki 4 ut in

ALGEBRA, quantit e lare representes by the fame aetters of the alphabet an vario us signs have been imagined rei representinithei affectionurelations an P dependeri eius. Di Geometry the representations are more natural in Algebra more arbitrary the serme are like the tritatiempis toWard the expression o objectri mihich was by drawing thei resemblances thelatae corre*on more to the presentisse os langu ages and writing. ullus steri dene a Geometr is semetimes more simple and ob . ious; ut the se of Alubra more extensive and osten more ready especiali since the ni is matica sciences have acquire se vast an extent, an have been applied ora many en , qviries.

8 3. In thos sciences, it is notiarer inagnitude statis the objectis contemplation butinere

20쪽

there are many ammons and properties os quantities, an operation to e performe Non them, stat are necessarii tote consideres. In estimatin the ratio or proportio os quantities, magnitude ni is considered. Elem. Def. a. But the nature an properties offigures depend o the position os ille lines thathound them, a Keil asin thei magnitude. Intreatinio motion the directio os motion as est ascit velocity and the direction of powersinat onerate or destio motion, as et asthei forces, must e regataed. In OPTIchthe position, rightness, an distinctnes of images, are o no et importance than their

bigness, and the like is to e sal of otherstiences It is necessis theresere that thersymbolsae admitted into Algebra heside the letters and numbers,hicli represent the magnitude of quantities.

6 4. The relation os equalit is expresse is

the lignia thus to eXpressaliat the quantit reis