# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:0893
# Permalink to this reading: https://leibnizlegible.com/page/851387705:0893?run=74
# 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 873, page id 851387705:0893
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=893
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00000893.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.89
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

PFOD. ZXVI. DeCalculo Centri Craritaris.
Nemve; Si incelligatur ((i8. 795, 796.) FBF, arcus Circuli Maximis ip(IFLFFiB. 194
arcui Minoris Circuli conterminus; ee compleatur PFsF Friangulum Sphaeri 195, 186
cum: Flujus Priansuli Sphaeriei PFsF magnitudo innoceseir; urpore cum alibi 197, 198.
tracita, rum hic ad SD. prop. 24. hujus. Aeque innoteseie Frilinei PFK Fmagni-
tudo, excoonito angulo FPF, seu ratione arcus FHF ad peripheriam lui circuli:
(DerSB, C, prOP. 24. hujus.) Adeoque d magniiudo Bilinei FHFgF, illorum
differentia. Sed e, excognito Angulo sBd, seu Areus td ratione ad Periphe.
riam Tui circuli, similiter innocesei maenitudo Onadrilinei Sphaerici d Fo Fd. Frro
_ (dempto Bilinco) Ouadrilinei dFk Fd maenicudo.
Denique; Ex magnicudine Portionis Segmenti Sphaerici sic inventa; FTabetur
etiam Portionis Scementi Sphaerocideos corretpondentis Nagnicudo. Fst urique
haec ad illam, ut Sphaerocides ad inscriptam Sphaeram; (sivC ut Axium Major ad
Minorem:) Propter Plana Planis respectire sumptis aequalia, et ad Axes in
ca ratione consticuros ordinacim polita. Ouxe elt tocius Problematis constructio.
Calculus hine Constructioni respondens.
E. Daca Circuli, in Sphaerocide Mediis Semidiameter; seu Radius inscriptae
Sptaera; CP =CB = C16 =CS = CF; dicatur R: Ejusque Peripheria Qua-
drans, 2; quae sic ee Anguli Recti mentura.
2. Data Circulorum, in Sphaerocideos Frusto, Fxtremorum, (f8. 207. Teortim
etiam extribitorum) Semidiameter sZ ==DS =Dd; dieatur a R. (Vacto sei-
licet, ut C P, ad DS; sic L ad a. Fc lic alibi.) Fltque, Sinus Rectus areus
BS = BF.
3. Itujus Cosinus, seu Sinus Complementi; hoc est, Sinus AreuS SP =[8
cst HS = CD = RF =V: R2 = a2 R2: = RV: F - a. Oui dieatur (brevi-
tatis gratia) a R.
4. VEBB ad 55, seu CB ae HS; hoc est, ut. R ad a. R, Feu L ad a = : 7 - 
Sic est inteora Sphaerae Superticies, seu Quatuor Circuli maximi, 8 RR; ad super-
Fciem Z OnX 5855, = 8a R~.
5. Hlac Superticies, ducta in 5 R; exhibet magnicudinem Zoux Solidae, (intet-
lige, Segmenti SDSSDS, exempris duobus Conis, SCs, SCS,) SCSpSCSV =
6. Vc Ouadratum Radii CP; ad Ouadratum Radii DB; hoc Cs, uE R 2 ad
a2 R2, TCu UE F adt a 2: Sic est CirculuS MaximuS 2 P 8, ad Circutum SDS = 2RQ
. Circulus hic SDS, ductus in sC. D = ha R; exhitet Magnicudinem Coni
SCSD, == Za42 R2G
8. Hujulmodi Coniduo. una cum Zoua Solida (S5. inrenta,) extibent Segmen-
cum Solidum SDSSDS, == 3a 29 f3 aa R8. Adeoque Semilolidum DSSD,
=ha Ra + 34aR
3. Dara Tummi Liquoris P K F, supra intrare Centrum, Alcicndo CK = DF,
dicatur B R. P Aque, Sinus RectuS arCUS BL.
20. TIuju sque Co. TinuS, seu SinuS ArCUS L. P =FP; est KL =RK = V: R 2
h2 R2: = RV: E = b2. Oui dicatur (breritatis er80) BR.
FF
TF. V