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# Title: [Quo Continentur Claudii Ptolemaei, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunae, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Graece & Latine Edita, cum Notis ; Accedunt Epistolae nonnullae, rem Mathematicam spectantes; Et Opuscula quaedam Miscellanea] Quo Continentur Claudii Ptolemæi, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunæ, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Græce & Latine Edita, cum Notis ; Accedunt Epistolæ nonnullæ, rem Mathematicam spectantes; Et Opuscula quædam Miscellanea (shelfmark Leibn. Marg. 100:3)
# Folio 624, page id 867984570:0660
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=660
# Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000660.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.73
# 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.
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F P ISTOVA LOM
624
dicales, _ F.XCLALLIOHES HLAMCM aLCIOTUI I Numeris, etiam commode instIruntu.
propter aliam excogitare adactus lum, cujus ecimen exhibent lequentia Diagrammata. Vbi
dexira columna prodit suuendo in media columna valores V, P, 9, r, esc. in sinistra co.
lumna exprelsos.
FE hic in supremis numeris pars Negacira Radicis, Tubducta de parre AFirmatira, relinquit
23
Per eandem Regulam, Geneles Porellarum, Dirisiones per Porellates aut per Ouantitates Ra-
Fxtractiones Radicum Aquationum Affectarum in Speciebus, imitantur carum Extractionem
in Numeris. Sed Mechodus Vietae, & Ouchtredi nottri, huic negorio minus idonea est. Oua.
ab solutam Lacicem 2(09435148.
2
erius Diaramma extribet Resolutionem hujus Numeralis Aquationis p - 2y - 5 =-0
Ft Polterius Diagramma extibet Retorum jus Liceraria Aquationis p3 F a N y L a ay
5 =0
( 2. 70000000
0.00544072
+ 20p + 6pp F
(0,00004852
F 6,3
TF, 23
F,
6 +
= T0,
f0,06T,- L O, O6r
dOT = 0,039. + 0,3
292
6.
Summa 0,o6r + 21, 239 + 6,399 + q
0, 00000OF.  0,00Or _c.
00001837- 0, 068
-0,060642 + 21, 23
Summas. + 0, 0005416 + 12, 262r
p.+ axy aay - 3- 2a -0. (a
64 a
+ aa x 
a X
+aa
32 43
500
512 a a 16384 a
+3ad +3PDTF
is a N = 3 a X 9 + 3a94
X
a d
a X
644
+r -= 9 - 3499
3NNG dc
4a a g
(.= 13 X N 9(+
ul
3v
4096 a
ec
1024 a
=a X 41= 128 i
5  - 63 4
 + 4aa1
16l N obl= 262 e ib
+4aa- iav) +
t4
13T43 50d 
128 40dba  3t2 a d 16364 d