# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/44859/text
# Catalogue record: 44859 — Ehrenfried Walther von Tschirnhaus an Leibniz
# Incipit: Dero Schreiben hatt Mich auß dermaßen erfrewet; und sehe daraus, bey
# Date: 1682-08-06
# Sender: Tschirnhaus — Addressee: Leibniz
# Akademie-Ausgabe: AA III,3 N. 384, AA II,1 N. 237
# Other printings: -E2: LAA II,1 (1926) N.237 (Teildr.). -E3: LAA III,3 (1991) N.384. -Gerhardt, BrwMath 1 S.443-445 (teilw.). -E1: Reinhardt, C.: Beiträge zur Lebensgeschichte...Tschirnhaus, Meißen 1903, S.25-27 (Teildr..). -Gerhardt: Mathematische Schriften, Bd. 1-7, 1849-1863, 4 S.498-499 (Teildr.).
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=44859&katnr=25526
# AA III,3: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# AA II,1: its series at Leibniz-Forschungsstelle Münster (online after accepting its terms): https://www.uni-muenster.de/Leibniz/seite5.html
# Work: https://leibnizlegible.com/work/DE-611-HS-867509
# Title: LBr. 943 · Tschirnhaus
# Folios: Bl. 70–71 (from the shelfmark LBr 943 Bl. 70-71 (=35938)): 4 pages, canvases 141–144, page ids DE-611-HS-867509:0141 to DE-611-HS-867509:0144
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867509&page=141
# Lines: 294 recognised on 4 of 4 pages, mean confidence 0.69
# 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 70r — DE-611-HS-867509:0141
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867509/jpgs/default/00000141.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 69 lines, status machine
ri
redom
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C
posue
un
de Mrs
Eruglo srnisic
roE. u9.8
und 27 gulus 2662,7
bsa
qconsicus
Mon hrec honore et hes cheu Amy
Duro siginibum hatt Mih aus darmaßdum ut famont, und sabe darouir,  buus gulagmabnibs
bohun ussizu, ad in gulten Trmund davanf Mtan ich werla sden clerr. Hin habnnollin mill
O
communicatione hroesteri _m Genererise Fruun sa neminstm. Hb Galta uan Ron un
c
De
Raltem wor wolba, indenoch wnil vam (grintu d M Gallois Binran uoni fulta, uno Mub in Din
lanan aufzone ob sen norh o admitbiret (0 graesentirba solihur d Acadenie woulchas sulsa mog
Muitis
arsannoninum moreu;londel vnrilongula ut in amits nin no dge communiait: Aib
manda invvnreastur sun dem bl bage allem gulagnahnit woind iudianen, win mohl dia 2 Secreta ui
mino so din sorcsti non qud arht dt fillius ginuu commminiimem moltur Gibu auiburgaltur, at
Sel vegetans. d l’or rendu Volabita sacie fulminam, de tccta ist Curiniie, mnd won chst hti
oudt ad woin Zine dlanta, nan mon von dem dalh in wnor gabhan s ubam 8t togn tabum lastut
deard abim gnfalbat Min mahn, dem an stat de des Aumum fulminiren solta, (. gestinhat ne ause
du saz tinum glutineusem materie du din quah Matarie, si in ninem starckum Douo fresolu
A.
t und sginto au binc dia simglluga Materia consumiret, dib murda buyda descretionae
eu
dum beubunbrina, ogl Mariolle noch dinti dimgnt, et sin  h  m aude mabr
communicirem (ollum; sin habum Linmi gultum Correscondentem ac suebius. Hibus bin mibmno fastbus
3 worgur in Dia Aicodemie rcipiret, und Gaba obsara promessen (min alla sini Din man nn
Gaffaluitem Gate) Zina jaguliiha rension von wuo  huhabum. Hbs Gofta abun de um ectiren d
sin in dunzum suben sollum, des solchur nobl Meritore; dem o inwillunt nin medum (olibat uf
Himam grohit insumund: sndu diamnil Botllob habe det mnGl lub. dan. So werda nn mohl Mnistmr
acorrespondentur aumun in gulta experientiem Jumachumi absondls nonu dudam mabu n
Siburt sum mnda. wonazo ist Main vorhabem el Mobe sum lin umabnmu ob obsernotionae Actra
nomicas dcalculum Algebraicum diripendum drevidendum niadam Minfima fondbabra 
Anund s gustacha, mn Min d Gl Zinum fumem Manstun vorista uumisum din Algabra icin versin
ium tr nundi Calcunlrim vanistunda to dinstu Mnina qnostu yotaria soust winstau, villuriht mi
he stuum von dem win ds Collegim curiosum, inmand: ibus wolbe n sson Girnvon contentiron di drshit
mix duind: tium gultan Mechanicum Gabu a inmacnd vinibstum clindia, nin ans Linmm Chyno
cum e Anatomicum; offu Meim Gl wind Min in Meinen vor habun maliqui ad  b
ausulsum d
ei utilitatem gueribtat, so an d Gand stubm: at von diuma d Dglmihum um actimirem nnis, 
dihil onsasur de dur hre absondeib varlangut Muina Medicina provisionalem sulum (o Gabu
c
diu coninga huit dia Gingngabat: Gimmif amonuddat, und falbign gnihluh absolvinet. onigal de
De
Sin sulbiaum qutallum mind; dum auus satu Scugulausen altim, mid dia ubur dia quriuastmf
ea 
hicanireu sulbigsa noind Man Gortum mogeautallum obsson dus Riumud uind oarodoxa ud
minutias
r O. Dc
admodum cingularae ojiniona quanou: odsutmtum: fimnda solita Colbet dedicim
sed caltem in Manuscrieto, un Gimunbunt fetliha specimina Mathimatica dem Ronion
offirirem mo Mim dia Inib solique dulasti u absolvirum, se nnigl vi non Anaetroda ous Gim in adia
Ompeuds c
Acodemie ibun sund a communda mocha ana onisa antrattu; alreo nun etoga vrrblnite
und dan glaih nnih Hamiovar Mih nnn mhl. M_ M von Hinum und audu Blib iu confarium
ino siu Min nn mon dum avisirem so ist Muma addresca in Anctirda: AM Amilteam lvert
oe de Warmenstraat in de Kloeck; dhre mind Min inconbum de o ubum quantivortat nu de qus
dm biter an M Mariolle, des folcha shr anrlongut.. Din anil Gim a B Snctum oiegat gums.

## Folio 70v — DE-611-HS-867509:0142
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 71r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867509/jpgs/default/00000142.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 60 lines, status machine
durfulbiga Butta sut dia mihao gubum duffur. Lia demonctration, Mnns dhaoramabi uubum
d dem 2e M danna so Gaba cniunu Juonifal dt Luitioni Theorama Rimia quanbum epid
Ginro.
decorpepratio
dustui Demenetration fin . follum fiii,  sea sub un sgplicivera moltur; Maum at si mibst
gndnuctm doium isto different von suebianir noin neu suigen nigl, und anus so universal e
in alla tasque in si fiitat, dia lineae convargirem od (ind parallall; Mettrodus Tangentium
ea livco Mechanicu e utia sperialia taltem cusus; ead o audo tum universatam posia concipn
s
C
enta
ut o poscim eode Methodo at hoec derivavi; eoda determinare; dt foci in transcralibus lurvie
G
win sin Mein Gl uninat) ist Maimur wiesns noch von ninmonih anguav sem mn. Bth ist aurhe
ad hoc delermina spront idipas
mii locu lineanum rectanum seu flonum, cumnilineo ascumen oinmol n t ( ence su
winsten nonn man davanfes raflectirat, det nun us fmo fungalla wuld saque wind; (in habui t langa
gunt i mlibt doh gmoins bin dint o ist; dd fn mird dm den nn haben viila bucil
Tolita focor in  Merhanicie determiniret; sia habun abumo quousti, de dirsut foci und abur
det salbigu os vin in Geouratricie focoe unumam, in d ibs Ahichs mitt fimum wort antlalra, lypte
iatasq
i subi ipsi focus e; linva omnea quae in Meum Mhorma  intarsectionaa reflaxorum rodio
n fiuit, sunt foci limna nom a quibus rodius guralleli incidantae reflectunes; d idam represeutant
quam gurnctum gd in darabola focum vocamus; icin si hoc Hugcuius vidistat; go e 2. Enohi
te ascent foci, lumvorium quae ex erolutiona discribunts; huinc nobae multo mectantiora exhi
buistet. H hinc vero quam praectantia diduco ex tola doc considerationa, idebia in Fructuholum
Mro de indaganda veritata et facila jom ipse eijs qua rebuli onconcludae, hinc imino
solum focillima desriptio Oun lunorum conceptibilium gatet. Sed e hovum dongunt
hac
ditermis
hae nono e facillima Mathodo simio ex eodem descisitione liovonum Mensuna, infinite in
finitae modia quantum poscibile habets. Dhinc facila quoque concipies qua ratione lummus q
c
hiut
cipio duonum focanum in Machoericias;  eni quo ciicuti
FdG vel ni placet quaemus emmine;  quibus filum BBE
KD involutum; desccibats hinc curva ABC. fori eruut
Circuli FeG. et tangene satuu determinats diviso nm
angulo DBEbi forriam; linea hinc dicta occurit dangenti ad ongulaa rectore; Sid 
opus etit Tibi haec polixius explicam, cim Esut Ego fimmistima ciudo) nullus in rebus tisu
dSe
dibi in Mundo aegnalia habets; Adminor guom parici jam sint, qui cogni in tanta
orcasione opturima addiscendi qua copnitiono aliguom exbaordinaniam poscident. Et eo majoris
similae ectimo) dib winda Manum Gl vial Ginar anfarinem dad otatamus; Piatta also Mil
diannil sia subum vin iniica Veritatem respicio, ad noia siu: Maba in Drvo docietat Lin summ
hibun ad audam, und Mit Min in allur drilosantiro candore et side mub ugubm. tbin
n von huodur mgenmnt, ob Migs moge Mniua studia  continuirur obtot obeta mla 
quo ia miiha gutrostati, det nuguraro nnhalteu, de groson sparant sulbigu noin in concaat forti)
O
Nh und verichert, nn wan hohn hnit, dam sonst halbn alta Mena Stidion guiltiren Misar
 mnen fund guid auß unfarhun dia anvon suid fenan gudmickum wtiel, mnn vonato unr
dnmmni gubum. dt Mitt Luiure denion von fullen noustoure wan sgrortur, und da tina qusla
ps
dantatuliba Tamiliae, di bius hoftu iu dinter in vrhabn, ind kogs und nocht daouf ddanctint
vorinere 
oin (in Mat dunhs chargan eupagirem mollem, wal ihr allar gad laihti serliniren de
und Gaba sondtalra kinilta brnngum miilen, de diasa nisa untermommen, und mi Do
allum saito contentementi; Dbur abum hate Mich wanhunde, dt  Guglerih Zinmr undondus
Tctatum van funtint, und  bira an Manca hiab sta Zina undandem Tantosient
 bimm. db sulta nom Gcita m Manim o onus gaidumdt, cm o din hrarinus  lgu

## Folio 71r — DE-611-HS-867509:0143
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 70v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867509/jpgs/default/00000143.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 57 lines, status machine
nani sa vor sichurt de bags unß blnibem molta winwohl un unaont Mch os, und est Min bine dato allar mnol
pe
wnits nnd Anannn inclination guialem. Dan ge baliabe dieo bigs sug su decratiren: Arh habe
in sonct noche unhmand bard gumachst. Arhs habe inwillum von Hanno var aus unb Linste
d ubun dindem a narh Gasa dugubum da he Hro ad aidum (. Ancian semettum cmige
C
e c
C
 die habe viala womidlichn sarben gulubun, abne noch  nda in dluft. sin pasentirem
P.
bin diia sitona Conredia Ancromode: da Persee, in d ouLiim labundia refnd
nabunst vinbem ande Mochinen sib grsentirat. Lnde
Muhu mideih vor dem hl prounat, ds dinwar in dem Manu sirigtin dat M des lartes: bin blller
sebier mnhalben vor dur srebin mind abgahriabum wnde. durch Zinnn in d Algebra und Matt
si intahiu. Mr l’abbe lariotta Gatt Min man groihum allar mohl in augt umatnons as m
c
ic
nothius de Men gl an  Gristean dabunctionus fiiabu, dem Er Machat imanr unothi
difficultatem ob tgn glarihs daduntinus ubu gabattum, aich gndacht, de es vinlluichti nod
iis
fictolem aut Guibsta dostan dineftta, nen aurbs auno sand tinas un diard smint vona nominum
nonda de Mniinum Giu nachrichti dinum douden. Madama la Donchine Gatt
Amnu dimus Duc de Bourvogne mon Gat Gine 3tagn nnch ninand fam
alrandu dglmigum, grota fimmoda Giriiibum basuriaat. Mnium quista fuogda ist, de nu
maro mi omoinia gofrnumus Mninem ge mitt abistum suulum, da Anronitur munda de
in 8 non EGat sim
Monsicur
N. tast aeben dicse ei un fibe iis in mius schedrasmate de variis modis curoris
per motum describendi dan auis annotivnt, et revera i El e
sbeche curva teus wean man silhazu dem description vollu brddinnct,
Cum dixi loco filorum puncta  rectilineorum auvilinea assumi debere, hoc ipsum
volui. Nam focum ponendo non curvam, sed punctum, M et N, tunc fila MdB,  NEB
sunt linees curvae. Differentia est ergo tantum est in modo loquendi
Quoniam, ut in schediasmate meo de Mitu curvarum descriptionibus exposiu, omnis Evolutoria
ver respondet cuidam Trochioidi, hoc etiam applicari potest Evoluto.riis dualum curvarum, si
enim punctum B ponatur esse fixum, et duae curvae F. G firmiter connerae intelligantur
ita ut non nisi simul moveri possint, eandemque distantiam servent, et llcinde filo BD MNEI
circumplicato circa B gyretur tota regula FG. Oundtum aliquod fixum in ea describet
Mondatur una Methodus optima pro descriptionibus curvarum, sed aliae per focos, aliae
curvam quandam trochoidem
per Trodioides, alite per regulas seu lineas rectas tantum suppositas optime
generatur
Curvam Transcendentem definio, quae generatur supposita Extensione Curvilinei in rectum
sive foci adhibeantur
Artis est data curvae proprietate invenire descriptionem
Dantur quaedam Curvarum, descriptiones quae fiunt non tam exten sione currae in
et contra ut si in p detineetur charta quae
cylinoro circum-
plicata sit, describatur curva Ellipseos, et charta deinde inplanum explicetur, quaeritur quae inde
rectum, quam gibbi in planum
curvarum curra egdem si focos hoc sensu sumimus infinitis modis ad focos reduci potest
nascatur curva
Edata enim qualibet curica reperiri potest alia cujus evolntione describilum
ostra die munblee
brec obeiseont servita
1d de Sschirnhans
Pano et 6 Honct. Ho st

## Folio 71v — DE-611-HS-867509:0144
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867509/jpgs/default/00000144.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 108 lines, status machine
b grmo unstane vo augs  gbungae atn nhrgo E or 1 
ng
b8n. quyeargneno nga o et mngnorum ns arau 39 f. 9200 de n guoq roma 2e 80
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goea ungnf ess f: ve quin in 2 fuce a, q) d) wersian  Gion En miss  eu
e
nosera h m mung non BUss. Dh n fimmen Gus wca onenf Gran Grungo vas 
gggaa uteegeet nn eate tngugno usunc mins hiam mnmest  Cinaunguunoo
fon Anbens 
o in nhs uo o quanf non sa chin d) maragosg  antgo gra my en etrorhho
umeg na mymuryg vumnas ugug
ca
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mito caeriao mancmmus ex nesge ungasabem ingou 
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ngohs i) mnguat nogenesimend nun caiss miuss gubnaguns Gugenoigo 3ig ang es nagu) ub grypes
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abem ena am  y si uch 6 gubinex Huns siau aeroo1
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gosa famo e ungones mnum in hn neggrinob n es wggea nohunguss unnf e us
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