# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/40578/text
# Catalogue record: 40578 — Christiaan Huyghens an L [2.Hälfte]
# Incipit: J'ay examiné attentivement ce que vous me mandez touchant vostre nouve
# Date: 1679-11-22
# Sender: Huygens — Addressee: Leibniz
# Akademie-Ausgabe: AA III,2 N. 359
# Other printings: -Gerhardt: Mathematische Schriften, Bd. 1-7, 1849-1863, 2 S.27-29. -Gerhardt, BrwMath 1 S.577-578. -Huygens, Œuvres compl. 8 S.243-245 (N°2203). -Leibniz: Obras filosóficas y científicas, Vol. 7B: Escritos matemáticos, hrsg. von Mary Sol de Mora Charles, Granada 2015, (span. Teilübers. nach III,2), S. 418-419.
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=40578&katnr=32761
# AA III,2: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/DE-611-HS-3595205
# Title: LBr. 437 · Huygens
# Folios: Bl. 20–21 (from the shelfmark LBr 437 Bl. 20-21): 4 pages, canvases 39–42, page ids DE-611-HS-3595205:0039 to DE-611-HS-3595205:0042
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-3595205&page=39
# Lines: 81 recognised on 4 of 4 pages, mean confidence 0.86
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 20r — DE-611-HS-3595205:0039
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 21v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3595205/jpgs/default/00000039.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 24 lines, status machine
s
L’ay examino attiarivemiue que vour mo mandic
toucham voitre nounollo Charachiriinquo, main
pour vour l’avour franchemeur jo’ns convoir par
par co que vour m’in citalve, quo zouo y puritur
fondir do si grundos diporancis. Car voi excmplor
doc Siux no rogardonr quo doc vintoe qui nour
Movur dorca fort connuii, ou la proponhion do co
sartan
quo Cinutrochon d un plan or d uno sphitaquo sar
la circontirince un circlo s’y conclud arsor obseu
rimiur. En fin qu no voir poiur de quol brani vous
pourrier aspleque vostre cearachriierquie a touro con
coror difficintos qu’il simblo que vour y voulue ridure
commo eor quadrauore, l’cnvinrion dos centai ar
Arohriito des
eit tangentis, eor racinor irarionillo doc Equation
Coc problemoi de diophauro. Cos plus courter et plur
billoc coartrachioni doc problemien, quominrquion. Et
co qua mo ravoir dacore lo plur etrango, tonviarion
et explicarin dos machinis. So vour lo de
caguanomour, co no sour la a mon avir quo dd
beaux souharte, et il mi faudroi d’autris proavir
pour eroire qu’il y dure do la realilo dans co que

## Folio 20v — DE-611-HS-3595205:0040
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 21r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3595205/jpgs/default/00000040.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 23 lines, status machine
vous avancor. Se n’ay pourranr garde de dine
quo vour vour aburivr, corenoirsant d’aillours
la subritiro or profondour de vome cpri
do vour prio soulemine quo la grandiun dui
coror que vour chorchde no vour faco poine
avoc
diffir do nour donnim collor que vour, desca
trouvies, commo irea eorto espadrarum anitemiaq
et co quo vous avic docouvirt pour loc racinin
dic aequation au dela du cabo, se vour da ectes contitr
vour mermo.
Pour cello quo vour proporve d’uno
essico nouvello, scavoir X=X ∞ 24 ello sa
dotiominoo da nombroo cntubo mari autremiar de
sa natioro ello no garoie par l’istre, ear umn
il g a dos esporant qui sont des frachionr, commo
C.’ou piar inrondre par loc Logaritemes, or ainni
vostre nombro pourroir aussi istre quolque fraction
ou irrarionol que satiitre aursi tan quo 3 à la dito
aequation.
ay bdancous zravaille tour l’orlo
dcharir a mor rifractiono, sar tour on ro qua
regardo lo Corital dTotando, qui a dos phononionvo

## Folio 21r — DE-611-HS-3595205:0041
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 20v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3595205/jpgs/default/00000041.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 20 lines, status machine
si estrangue quo jo n’ ay cacorescou pinerror
lon rarions de tour. Maii co quo J’in ay rouvo
confirmo grandomdar ma thoorro do la Tumiove
on dec rifractionr ordinairos. dans collorcus q ny
donno iatre autrer chorer la pourtractira de eo
problime propore par u ddi sarro. Estunrm donnoo
la figuro d’un corto d’un vitre trouvir la figane
do l’airr cocto pour faire insmblo lo parfair
artimblago des rayoni gavallolor ou qui vogardour
un pour donno et mirmo plur univitellemur, car il
vint quo la donnoo soir shinque ou de saction de cons
So Tarchibay do faire impormir corrarho do cor
Equor si ma sauro mo lo pormor. So voudroir pouvoir
suioro vostre connce do donnor quolquos uno
do mos moditarionr in abtrigo et sanc la formalite
dos demonstrarions, mais s’uy de lapime a ru y
rehondre; no pricindant par qu’on mo crair sur
mabonno foy dans lor choror do cotto natume.
sede ay riin do nouvvan prischlineur qu’uno inviation
do niveau qui edo foir commodo or qui so rectiftio

## Folio 21v — DE-611-HS-3595205:0042
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 20r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-3595205/jpgs/default/00000042.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 14 lines, status machine
et virrfio d uno siulo station, do sorto qu’a
caquo obsdvation on piur s’arsurit d’avoir bron
opiso, co qui n’o par ainn dans tour eoux
qu’on a trouvo juiqu’iy du moinys avic des
lunortor d’asprocho commo eit lo mion dont qu
parlo. J’in firay mottre la dicription dan
lo Pourant or vour in firay parr a la
premiore occarion. So vour prio copindaur
do croire quo jo suni vdrlablemiur
d’affection
de
Portre Erestumblever trocobone
Sirvitiur
si