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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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N
A L. G F B R A.
ClarmO VirO D. SAMDELL NTORLAND, Otraject
Clarissime VH,
Oxoniae Martii L2 2688, Scilo neliae.
Treras mas Orajecti datas Zan. 8. 4688. (neleio quo stilo) Accepi OxO-
nia Marrii 7, 2688, Ctilo Anglix; hoc est, Marrii 27, 2689, stilo novo
Ouaris inibi de Plagio Carresii. Verum c9o Plaeil nomen Cartesio
(ne parum urbanus videar) nusquam impingo. Hoc saltem dico; Ejus AI
gebrae pleraque (si non omnia) tuisse ab alus ance, tradita, (Flarristo praeser-
eim nostro,) quibus eamen nominandis abstinet.
Ouod Alsebra rebus Ceometricis accommodari possit, soleatque; res nOVX
non elt. Id Fecerunt (ne aneiquiores nominem) Vieta Chetaldus, Dueheredus,
aliique Cartesio priores. Cui, Alsebra Ope, et Arichmeriea Speciola, Proble
mata plurima Creometrica expoluerune; alii alia, ut Cartesius fua. Novaque PrO
blemata, veteri arce, indies excositari, aut aliter quam ante explicari, nemo neleit.
Sed non jam asitur de Alsebrae ad Geomeriam Applicatione (qua res retus
cA) Sed de ipla Asebra Cartesiana, pure considerata.
Oncheredi Claris Machematiea (ipso rirente,) de Farriori Algebram Peu Ana-
lytice, (opus posthumum, quod, ipso ante decem annos mortuo, cdidit W al
terus arner, Sed suo Fditoris nomine celato,) prodierune primum, ANNO 163F.
Ghetalai opus posthumum, De Compositione e Resolutione Mathematica, PrO
diit Faltem Anno 163O; (nescio au prius; tuerunt enim plures ejus editio-
nes; cratque ile mulco ance scripeis Machematicis celebris.) Pieta his omni-
buS PrioT. Carresii Geometria (quam c0o Alsebram porius dicerem) non ante
annu 1637, acque tum Crallice: Sed Latine postea, à Francisco Schootenio
edica, Annis 2649 et 1659. Quam es0 (juxta editionem 1659) sic ordine
DeTCUTTO.
Pac. Y. Ouod Operationes Arichmetiea, Addicio, Subtractio, Musciplicatio,
Diritio, et Radicum Fxtractio; juxta Speciolam Arichmeticam, d Vieta intro-
duetam, superiori seculo; rebus Greometricis accommodari Toleant; liquis du-
Bitet; Vietaum consulat, Ghetaldum, aut Oushtredum, (ne alios memorem:
Obi rideac passim, ODux quibus operacionibus cicomctricis respondeant opera
tiones Arichietica SDCCIOCX. LI Post Problemata Arichmetice expolica, Oueh.
credus Fere semper subjicit (prout res patitur) Fffectiones Greometricas.
Pac. 2. Inventio quareae tribus datis proportionalis, aut datis duabus terrix
continue proporcionalis, aut media proporrionalis, in Lineis, (quae Mulciplica-
tioni, Diritioni, Aurea Regula, e Radicis quadrarica Extractioni, in Ariitime
rica Speciola, respondent,) res esse noras nemo judicareric; sed olim tritas.
FaIGuE UE seS TIIaS MCMOTAL OuehtredUS, PrOP. 18. Cap. 29. Prima Pditionis:
item Probl. 5, 6, 7. Cap. 18. Sequentium Editionum
Pac. 2. Substicutio nocarum A, B, C, _c. aut a, b, C, dc. Pro rectis, aliitre
maeniudinibus Ceometrieis, (auc quibulris aliis,) post introductam arictmeti-
cam Speciolam; res nOra non Cst. Sed es ante obcinuit mos ille, utue minus
Freguens. Signaque = = V eec. jamdudum ante in ulu fuerant. Cur autem,
pro antiguicus recepia Aqualicais nOta =, noram Tubsticuerit Carretius x, non
video. Frat enim illa Dotior.
3
Pac. 3. Onitatem, Radicem, Ouadeacum, Cubum, exteralque Porestates; Hoc
est, F, A, AA, AAA, AAAA; Feu T, a, aaqe aaam aaaa, eeC. Contine proPOrciIONa
lesu seu in progrestione Ccometrica contticutas ce, omnibus est nocm; et res
ipta patet. Adeoque posse, vel per Literas (c Politas, vel etiam (Si Libet) per
rectas continue proportionales exponi; aut ctiam per alias quastibet homogeneas
magnicudines continue proporrionales; quarum prima ponatur i, secunda Ra
dix, cerria madracum, _ sic deinceps. Sed in Rrichmetica Speciola, Per noram
aliquam Liceralem plerumque nocari (olent. Neque haec res nova cst.
In hunc utum, Vieta, Cheraldus, Ouehtredus, aliique, liceras Majusculas ple-
rumque acthibebane; Duta A, AA, AAA, ec. B, BB, BBB, _c.
Carcesius malic liceras Minusculas achibere. Sed neque hoc norum est; sed id
ante tececat Flarriotus, per cocum librum luum; puca a aa, aaa, ec. b, 6b, bbb, ec
Ouehtre.
Cap LHI