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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 C F. B R A.
Cap. C1X.
Perforatio Cubi, alterum ipsi aequalem recipiens.
Rupertus Princeps Palatinus, dum in Aula Kexis Anglix Caroti II. ver-
Tabatur, Vir magno ingenio de Pagacitate, attumail alquando, omnino
tieri polse (de polico pisnore se tacturum Lulcepit) ue aequalium Cui-
borum, per toramen in eorum altero lacillu, caliseat aluet. Ouod e ipsum, au
dio, praltume. Id quomoct nals sam tumms oltenturi.
P R O B L F. M A.
seat relgutio Lnteger.
Duorum Cuborum inter se aequatium, alterum sie Liveavare, ut per eum tran-
LVT1O
TIT = T. Hluic aequalis excaratus ABB Ci, incelligatur Sphara inlexiptus, Dia-
mecrum habenti (Cubi Diagonio aqualem) B F. = V 3 == X. 7320508 proxime.
Sic Inceori (reliquum crantituri) BatIS, LLLL L. Guaac, Casus Lau
Cujus Circulus madimus (per oppolicos angulos B F trantiens) polos habeat an-
sulum A, _ (latentem) huic oppositum. Cuboque in Circuli planum projecto;
anoulo a centrum occupante, alii BCD F. P C. perimetrum accingant Lateribus
interjectis inseriptum fexagonum regulare Formantibus, in tres Lhombos (tori-
dem quadeata repraesentantes) dirilum. Ouorum icaque latera singula, Uc A B
(quae in Cubo Firerant L,) erunt (Sic projecta) = V 3 = 0. 8660254 (demidiamerro
Sphaera, Circulire in ea maximi, aequalia:) Adeoque Semisses AP = LB = = Y3
0. 4330227. Et Balis Diagonium DF vel CC (inseripri Prisoni latus) 3 1. 500000;
hujusque semissis P C = 3 =0, 7500000.
Incelligatur denique, eidem Circuli plano, recte insistens Cubus ille alcer inte.
ctus: cujus Basis congruat Ouadraco IIL KL, hujusque punctum medium cencro
A. Laterique HIF (EPLG C. Parallelo) insistat normalis a Cenro A M (= = LII)
=0. 5000000. Iplunque L acuS HI I OcCurTat (productum) perimetro Flexa.
soni in 99
Dico: Planis, ad Circuli planum rectis, perimetro Ouadrati HPK L insisteni-
bus, lactum iri Cubi B E pertorationem, per quam cranseat ELl cubus integcr.
DuipPe