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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi, De Algebra Tractatus; Historicus & Practicus. Anno 1685 Anglice editus; Nunc Auctus Latine. Cum variis Appendicibus; Partim prius editis Anglice, Partim nunc primum editis (shelfmarks Leibn. Marg. 100:1/2, Stück 2; Leibn. Marg. 100:1/2)
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L G F B R A.
nomnatore dictum est; pariter accommodandum est Rationum terminis Ante.
cedenci e Consequenci.
Verum hic omnino nocandum est; quod, in Fractionibus primis (unee qua
sequuntur omnia dependent) diritione quarendis, continuanda est divitio ad
decimalium partium loca salcem bis cocidem (auc eriam plura) quoc sune loce
illius numeri qui non excedendus proxonitur. Puta, si proxonatur uc termin
inveltisandi non excedane tria loca (seu numerum 090;) curandum cst ut
primi quocientes illi continuentur ad 6 aut 8 loca parcium decimalium.
NC
Scilicet exiguus error loci ulcimi (rories mulciplicatus) in loca ancecedencia se
insinuet eaque inticiat.
A P. XV
CapiLLl.
Ejuscan Fraxis, in Ratione Diametri ad Perr
metrum circuli.
Rocellus Capitis anrerioris Exempla plura dudum extribuimus in Practatu
ante memorato. Ouorum hic unieum repetemus; de ratione Diametri
ad Perimetrum circuli.
Rationem Diametri ad Perimetrum circuli (uc supra dictum clt) determina-
vic archimedes, uc 7 ad 22 proxime; (nimirum tam prope, uc numeris non
majoribus propius exponi non poltic:) Metius, aliquanto accuracius (numeris
majoribus) uc FF3 ad 355, proxime. Ludovicus van Kulen, _ post cum alu
eandem numeris grandiorihus accurarius extribuit. Nescio an Adrianus Roma
nus (cujus scriptum ea de re prae manibus non cst) rem eam achue accura-
tius Fuerit proleeutus.
FSO ex Culeneis numeris, (methodo jum iradica,) ordine deduco APproxi
mationes omnes, quibus ad Racionem lic exposium masis masilque accedic,
augendo numeroS quibus exPONatur.
Racio haec ab illis expolita (numeris lonsinsculis) sic eti;
Diameter 7.00000,00000,00000,00000,00000,00000,00000.
Perimeter 53. 14450, 26535, 89703, 23846, 26433, 83279, 50288, +
Puta
23. 24759, 26535, 69793, 23846, 26433, 83279, 50289,-
3. 24259, 26535, 89793, 23846, 26433, 83279, 50288.
Ubi, polica Diametro ue X cum Ciptris sequencibus, parrium decimalium
loca occupantibus: Perimeter exir 3, cum tiguris sequencibus in partium deci-
malium locis; ita quidem, ut si loco ultimo sic 8, numerus justo minox eric;
Si 9, jucto major: NoS (uc intermedium) ponimus 83; quo d jucto non aber.
retur dimidio uinicatis loci ulcimi
Fst aurem (ut Dividendo pacebic) Diametri ad Perimetrum.
Racio
huic aequalis
seu =
F.00000,00000,00000,00000,00000,00000,00000
3. +4 159, 26535, 89793, 23846, 26433, 83279,50288:
0. 31830, 98861, 83790, 67153, 77679, 26745, 028) 2, 4 proximen
T. 90000,00000,00000,60000,00000,00000,00000,0
0.31830, 98861, 83790, 67 153, 77679, 26745, 02872, 4 proxime.
Fadem (Proxime) Ratio, ad minores cerminos reducta, (continue approxi-
mando, tractionum instar, prouc crescunt numeri,) calis apparebic uc mox di-
CeTUIT.
Incerim monendum est; In utraque Inquisitione, Ferminos illos qui (pra-
ter numeros incesros) annexas habent parces decimales, (nempe, qui Perimetro
CUNE