THE

CONTENTS.

VOL. I.

MATHEMATICKS.

CHAP. I.

Ctometry , Aritbmeticky Algebra^ Logtritbmottchny.

X» i. A N Idea of Mathematicks ; by

A z>r. J. Pell Pag. I

2. Confider’d ; ly Mersen-nus 5

3. Anfroer'd ; by Dr, Pellibid,

4. To tbe Satisfaüion of Mersennus 65. Tbe Approbation of Des Cartes 7

II. ' Some o/Euclid’i propofitions demonftrated

independently from tbe Pest ; by OAr, A(h

ibid.

III. The Squaring of tbe Hypcrbola; by tbe

Lord vifcount Brounker ic>

IV. The Quadrature of a. Circle ; by SA, Leib-

nitz 15

V. 1. Tangents to aU Geometrical Curves;

by Renatus Fran. Slusius 18

2. The Lemmata wbereby tbe preceding SAe-thod ü demonftrated ; by SA. Slusius 21

VI. 1. The Teftudo Velisormis Quadrabilis^EnigmitiaUy propos'd, by V. V. 22

2. Solved\ Dr, Wallis ib.

3. Tbe Propofer's Solution demonftrated 3 by

Dr, D. Gregory 25

VII. 1. The Quadrature of tbe Parts of tbe Lu-

nula 1 , by Sir. J. Perks, alittle variei byDr, J. Wallis 27

2. Jmproved 3 by Dr, Gregory 28

3. ß/ctlr.Caswel 29

4 - By Dr. Wallis ib.

Tbe Dimension of Solids, generatei bytbe Converfion of Hippocrates ’r Lunula 3 bySA. Ab. de Moivre ib.

Tbe Quadrature of a Portion of tbe Epi*cycloid by Mr. Caswel . ;r

A General Proposition for measuring all Cy-cloides and Epicydoides; by SAr. Edm.Halley 32

1. A Problem proposed ; by SAr, J. Ber-noulli 33

2. Solv'd ; by ..... ib.

XII. The VJe of Fluxions in tbe Solution of Ge-

ometrick Problems 3 by SA. Abr. deMoivre 34.

XIII. i- Tbe Catena ; by Dr. Dav. Gregory

2. The Animadvtrfions of . anfcoered ;

by Dr. D. Gregory 50

XIV. The Quadrature of Figures Geometri-cally Irrational; bySA. J. Craig 52

XV. The Quadrature of tbe Logarithmick

Curve 3 by SAr. J. Craig ;6

XVI. A Quadratrix to tbe Circle, being tbe

Curve dejeribed by its Etjuable Evolution 3by . ibid.

XVII. The Dimensionsof a Sphere and Cylin-der Cömpar'd ; by Dr. Wallii 58

XVIII. Imprqvements in England, in tke Pej'o-lution of Ecyujtions in Numbers3 by Sir.Jo. Coilins 6a

a XIX. w Ib:

VIII.

IX.

X.

XI.