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# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 126, page id 851387705:0146
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F. L. II. F. DCLFVIS.
Hoc estu Si2 =5 + S = A F P. e A = 8 F V, L =6 t. eu A9 +F9 =
A9 = 0: 5 f V: =59 f251Vc
L. 9 =- 9: S - V:
SV + V9
A9 F L4 = - = 259 + 2V9
ap. XXIII.
25GY LV 4.
adjiciatur; quadratum compositae ex tota e adjecta (C: 2. F. + X: = Z. 4) e
quadrarum adjectae (X 4) simul sumpta, sunt dupla quadratorum dimidiae (2 F. 9)
 compositae ex dimidia  adesta (2G: F + X: =2 A9.) HIOC CMt, Si 26, + X = L,
ec F F X = A; eric Z 9 F X9 = 2F.9 + 2 A9.
29 = O: 2F + X: = 4Fg + gEX f X9 O: F. + X: =Eq FZEX f X9 = A9
X9
74 + X9 =
Xe
E9
  F 9
AFq. F AE.X F 279 dupl: 269 F 2L. X F X9 = Ag. L F9:
Sed ee hanc cum praecedente sic conjunctim otterre licer. Si ab assionato, in ea
dem recta (utcunque continuata) puncto M, sumantur tum uirinque aequales re-
Etae I. M, MN, tum punctum D ubivis: duo simul quadrata rectarum L. D, D N
dupta sunt duorum simul quadratorum rectarum DNI, NI N, vet DNI, ML. HOC
clt DL. 9. F DN9 = 2ND9 F 2NINq =ZNDg F 2ML. 9. Ouod sic osten
dicur. ML. =M E dicacur S. e D dicatur V. Duarum isitur DL, Det, (ubicun.
que Tumatur D) altera erit S. ] V (summa duarum S, V,) alcera Sa V (ditte.
rencia duarum S, V.) uc schematis inspectu patet. Ideoque
T. M N
SF V: = 59 F 2SV f V.
LO: So V: = S9-- 2SV L V9
DL9. F BN9 = 254 + 2. V. 9 = 2N L. 9 + 2ND4.
OBi notandum est Si V interpretandum esse nunc per S =V, nunc per V -5.
prouc S rel V major fueric, hoc elt, prout D Fuerit intra vel exera puncta L, N.
Sed quadratum urrobique cantundem erit, ut musuplicando patet.
20C2. Si recta (2 F.) secetur vifariam, eique recta quae dam (Z) indirectum
3
LV
Acque hactenus decem primores propositiones secundi Elemene Fuclidis demon-
3t 23a
Hrarimus Arichimetice. Leliguae quae luperlune quatuor, arichmecice iem demon-
Etrari possune, sed altumptis in auxilium aliis quam qua adhuc exposuimus princi-
Dus Geometrieis, quibus itaque impraelenriarum superledendum duxi. Sed et alix
Dallim apud Fuclidem (aliosque) provostiones occurrunt Geometrica, quae hu-
Julmodi calculo Arichmerico facissime demonstrantur. Sutticit autem pralenti no-
Atro insticuro specimen in paucis extribuille.
pa
equat