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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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Cap. IV
AOMBCAALIOHLS, LI
47)242Z 2L 2Z 2R3L5XE3X27
2 X2 X 3XIZ
LX2
5X
L.k 2. X 33
2X2X 2X 3X6Y
23
4F
CT
27 12X2XLLXILXOY
Similiter; Ticum Cubo numeri 47XS XFZ XAF (prius posito,) CompOnantur
Cubi numerorum 2, 8 3, quibus COmPCTUINE AGGrCSAta 3X5, _ 2X2X2X5; Ba-
bencur (praeter paria) Solicarii 2 8 3. Unde pridem Colitariis 2 _ 3, Suppeditan-
tur comites. Adeoque pro Cubo numeri compotici 47 X5 XFZX4FX 2 X3, (seu
B X3X5 X X3X 4FX 47,) habentur (in compotico Dirilorum agpregaco) primi
componentes, 2 quatuordecies; 3 et 5 quater; 7, 23, 27 e 29 bis. Ex quibus isi.
cur continue mulciplicaris, oritur numerus Quadratus.
47 I2X2XZX 2X 2X3X5XT3XL7
2 XZ. X3
23
23 2Z2X5X 7
42 )2X2X 3X 7X29X29
3 22 2 x2 X 5.
Oui duo Cubis sic compositi, si porro componantur singulatim cum cubo nu-
meri7, (qui est ad eorum utrumque primus,) orientur actue alii duo Cubi; in
quibus Rsoregata dirisorum habebunt porro (praeter primos jam expolicos) 2
quater, _ 5 bIS; (pFOpter F F 7 + 49 + 343 = 400 = 2X2X2X2X5X5.) Onde
prodibune itidem numeri quadrati.
Flabeneur itaque jam Ouinque Cubi, in quibus Diritorum aggresata sunt nu-
meri Ouadrati.
2 X
Radices Cuborum.
27 X5 X TEX T3 X 4. L X 47
2X 3X 5 X T3X 4. F X 47.
27 XS X Z XTZX L3 X 4. F X 47
2. X3X 5 X 7X T3 X 4FX 47.
Racices Ouacratorum.
2X (octiCS) XZXZKSXZXFLXFZXP7X29X6T.
2X (septCS) X3LZXSXSX ZXZ3XZ7X20
2X (deCIES) X3XZXSXSX ZXTLXTZXL7 X29X6L
2X (nOvieS) X3ZZXSZSX SX ZXEZXT7X29.
In ouibus omnibus Cubum acibeo nullius numeri Primi non minoris quam
200. Nec ullius primi cubum compotitum, alium quam certium cubum nuext 3,
seu cubum numeri 27.
Simili modo (sed non nisi adtibitis cubis aliorum primorum, qui fune centena.
rio majores, aue minorum falcem aliis ciitis compositis,) reperiri postunt alii
Cubi, quales requiruntur: Sc ibidem ostentum est E pist. 23 828. Ouales sunE
Tat sEGLINEE;
Radices Cuborum.
29X25
2X3XSXT3XF7XZTX4FXT9Y
2XZXSX ZXT3XT7X3LX4
3X3X3Z SXEFXT3XT7X3LX 4. L
PX3X3X
5X ZXTLXL3X L) L5LL4IXL
27X3FX47XTOI
AXZ7X3CX47 X X9I.
2
93
Radices