# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/820424455:0171
# Permalink to this reading: https://leibnizlegible.com/page/820424455:0171?run=74
# Title: Nicolai Mercatoris Holsati, è Soc. Reg. Institutionum Astronomicarum Libri Duo, De Motu Astrorum Communi & Proprio, Secundum Hypotheses Veterum & Recentiorum præcipuas; Deqve Hypotheseon ex observatis constructione (shelfmark Leibn. Marg. 63)
# Folio 149, page id 820424455:0171
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=820424455&page=171
# Source image: https://digitale-sammlungen.gwlb.de/content/820424455/jpgs/default/00000171.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 40 lines, status machine
# Lines: 40 recognised, mean confidence 0.88
# 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.

Sect. 2.
AASTRONOMIA
Decur in Marre Anomalia CCCCNErI P K 60. OMXFATUE
illi respondens anomalia media. Superticies P AK; iremque
anomalia conquara, angulus P AC. P. X cabulis Rydospbi
nis, quas Tub tinem hujus libri exhribemus, darur L.0g. 115
distancia maximx Marris a SolC 4, 22135, _ ejus absolutus
16646 est ipsa AP; Sic L08. u5 distancix minimae est
4524060, cujus abTolutus r3823 eA ip(a AX. AP = A X
AL = 2823; ergo AB = 14TI. 53 ergO _ AB. L
AX = BX = 15234.5. In Triangulo B AK dantur
B K = 15234.5, BA = TATT. 5, _P BR exTernUS =
60 invenitur B AK = 55. 615. Regula eAt: UC di
Ctancia maxima A P ad minimam AX; ita cangens dimidix
anomalix ccceneri (i. c. cang. = P B H) ad rangentem
EX L. L. Id ett; adde semper 992929 ad tang. = ano-
maliae eccenri; summa, demto radio, est tans. = X L.
Tum Z anom. eccentri  - = X L L = B AR. PrO obci-
henda semiciimerro minima BE, in Friangulo ABF
dancur AB = 14FL. 5, AF =. 25234,5, e AB E rectuS:
invenitur r. angulus AEB = 5. 32, 2. BB = 15169.
Deinde dic: L. 08- us semidiamerri maxima 4, 18283 dac
log. um semidiamerri minimX 4, 18096; ergo tangenS ArEI-
ficialis anguli B A U nuper inventi, dat FaNSENTCM arE. aN.
Buli B A C, quae est ipla anomalia Conquaca 55. 50. Vel,
adde semper 999813 ad tancentem B AK; summa dento
radio, est tangens B AC. Deinde pro obrinenda ana-
malia media, live superticie P AR; primum Sector PBR
elt 60, eadem (c. Pors arex circuli, quae arcus PK est pC-
ripherixe. Radius vero DB circuli, cujus area est 3601
invenicur dicendo:
Absoluri
Oc 314159
4d 100000
Ita arca 360
ad Rad9
ergo Rado
2
000
Pur s: