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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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NOUL AR TB
S
Odinns erdnbos C Missis.
LICNI aB COIICI S. Mdenbureio ad me datis Dec. 8, 2668, accepi (dic 20)
Haa Cla Problemata Jacobi a W assenaer, ad Reeram Societatem c
Beleio milla. Lram auce Problemata brerillime deleripra, limusque ad
seripta Schemata. L90 speus Schemata retinco integra, addiers de meo quibuldam
rectis punctatis. In Propostionibus, ab inspectu schematum, Lubintelligenda
quaedam suppleo, uneis inctula. Licerisque dictis sic respondebam.
Dec. 12, 2668.
Ouod altimet ael Problemata iria Jacobi a W assenaer, quae abtrinc biduo d IC LC.
cexi: hoc habeas Responsum.
sera ejus convexicas in D; ubinam illa sit ut L ansens sic in D. viz. quaenam lon-
ertudo DF.
Primum hoc elt. In a Conchoidis Cibbositas seu Converitas est. Quaoritur al
Dico. Nocum est, in Conchoide, utrinque à Verrice A, dari punctum quod.
dam, ut P, in quo incipi Conchoides conrexitatem suam murare. In hoc Puncto
vulla est Tanscns, (sed, hujus loco, Secans; qua ex Fangente extrinsecus paxtis
Superioris, ec Tansente intrinsecus partis Interioris currae componitur:) Led, ex-
ira hoc punctum P, ubiris Tumi potest punctum D, (quippenullum non Conrexi.
tarem siram habet, quam tansac recta.) Fc quidem s Lumatur proxius ad A
tangens erit supra curram; Premorius, intra curvam. Ilud autem punctum P
onomodo reperiatur, samdudum docui D. Fusenius, in libeo Demaenicudine
Circuli; ec D. Schootenius in Noris ad Carcesii Geometriam, pag. 258 (Fdicionis
Anni 165O) Ft quidem, Pro dato Puncto Fangentem ducere; vel quae tuic sc
ad angulos rectos; ibidem docetur, pas. 249. Sin illud velic Proponens, ut Far-
sens in D ita se habeat, ut quomodocunque producta, nusquam occurrat Con-
choidi eamque secer, (quod capriosum ester:) Dico, istiusmodi punctum D nus.
quam (exirapunctum A) reperiri. Saltem nili quis relic Regulam BP. tangen.
rem diei Conchoidis in intinicum concinvatae.
Lertim