# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/73061350X:0041
# Permalink to this reading: https://leibnizlegible.com/page/73061350X:0041?run=74
# Title: Ioachimi Iungii Philos. ac Medic. D. & Gymnasii Hamburgensis Rectoris Geometria Empirica (shelfmarks Leibn. Marg. 9a; ZEN Leibn. Marg. 9a)
# Folio 33, page id 73061350X:0041
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=73061350X&page=41
# Source image: https://digitale-sammlungen.gwlb.de/content/73061350X/jpgs/default/00000041.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 38 lines, status machine
# Lines: 38 recognised, mean confidence 0.90
# 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.

 
5. Dato circulohexagonum ordinatuim inscribere.
Semidiameter circuli est lacus hexaponi desiderati.
Caurio. Securius aucem operaberis, siprius diamerrum
ducas; ita enim cirius errorem ex mareria proveniencem
corrisereporeris.
G, OroII. Datam peripheriam in sex aequales hartes dividere, 
per consequens in 12. 24. es c. C ontinue nimirum bisecando.
6. Dato circulo rrigonum inscribere ordinacum
Pacer lacus erisomi ordinarirancum peripheria lubcen
derc, quantum ctuo lacera hexasoni ordinati
COrOlI. Peripheriam (scilicet incegram) intrientes dividere.
7. Dato circulo, cujus centrum A, quadracum in
Feribere.
Ducta diameero B AC, lemiperipheria bisececur in D, ee
ducatur diamerer DAE, alceram peripheriam bilecansin F.
Subcendaneur deinde lacera; de habebitur quadracum
deMdeTALUI BDCE.
COrCII. Datam peripheriam in quadrances di videre, es per con-
sequens in oetantes decimas sextas es c. quod fit bisectiones continu-
ando.
1 eio
8. Daco circulo cujus centrum A; Pentagonum or.
dinatum inscribere.
Darus circulus secetur Eire diridacur in quadrances, du-
etis diameeris B AC D AF. Deinde lemidiamerer AB bilece.
tur in P, _ ip(I DF aequalis relecetur ex FC, nimirum FG, e-
ricq; recta CD lacus pencagoni ordinaci, C Avero latus de
cacom ordinari.
9. Dato circulo, cujus centrum A, pentedecaoo.
num ordinatum inscribere.
Ivfcribatur daco cire on ex eodem puncto Bordiendo. et
crigonum ordinatum; a peneosonum ordinarum; vel,
quod lutii lacusrrigoni BC _ duo latera pentagoniBD
eDE. Chorda CE, AFCUM CF (hoc elt, excesum, quo dux
Ouinex parcesperipheriae exceluncerienrem ejusdem) lub
rendens, eltlarus pencedecasoni. E.
Corol