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# Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30
# Folio 153r, page id 00068124:0309
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 154v); this page is its right half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 76 lines, status machine
# Lines: 76 recognised, mean confidence 0.79
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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# After the first blank line: the recognised lines in reading order, one per line.

FE
aMA
a processa per indivisibilia nonnitur me Thorhs  contranam inscriptionum 
sit segmentam parobolae CDEc. ei insciptum triangulam C ED vosit AB p CH b.
BCHY. ABB X. ABH d.
AGH~ + b GH7 i
HD (N + 2ba  = y. er CDB 5 + 2ba +5 - 2515 la F
sit BF CL H X. erit euit AFp, 3 +X. et FEp Yest +raX
etXH
HD Spiba -y. Ergo LMB E SYerba - Y. Unde habetur + ME,
nan MEB FE - FL - LM B (s L 2aX - y + X 17 + 2ba + X y
et M(y + rpX- y + Z sis arba + XYX
ME Sct l
t +  Vela + X B, xt ina
 Cd in NE Ylo Qod jin faciendum est omnim possibilium maximum,
qui calticus utique sulis erit po , Compendiosius Constructione Geometrim id inveniemus ope
qcaltinus utique satis eut pet  afficis quaeri NE, omnium possibilium maximam
Habito semet triangulo. aximo inscriptibiti in aliquor seum. Jam vider tantum opus esse ut ducatur
Etjim video generaliter video e inscriptionem segmenti, maxiiri in eo consistere, ut ducatur tansens
curvam rectaedatae parallela. quod sic fiet generaliter L producatur dum axi occerrat in D. ron erit
o
t una at
Uile duas acta
conbergent
6C
1()
LM
longens parallela ipsi CD tanget illa parabolam in puncto E et eris EN omnum possibilium maxima
QAe Z
eFB  co Ct At QF, 2AF p X ob parabolum (si alia eonva alia hic oqua
20
 et ZH HD
HD ergo fier  H 
Ergo producta NE eut semper perperpendicularus ad curva,. occunat ago in R. Eit FRB a.
et ut Vla EFR, CHB similia. Caeterum hioc methodo generalis institui poteni calculus, qua
glinne quaerantur maxima Tuiangula inscripta; eadem methodo et semper habebuntur minunt
eante contranaripolest ut hui
rut
ei
cucum sulpla quod si jun falia generaliter casculemus habebimus metliodos novas pro solvendis allis
ita
min
difficillimis pproblematibus irregularibus, ubi ejusmodi serierum infiutam
sed perquantitates non infinita intervalla habentes, inveniuntur summae
item ai summus autem est pro areae indestigatione; si vero non Has
Vla sed sublensae semper quaerantur, del adscriptae; despiremus i tunc
non quidem summn opus erit sed bimino sereiis quegento Mirarum hoc
hinitus
ullunque, curva, scilicet aequabitia summae differentiarum seriei
si qua detur progressio  foret maximae eo inchidereturvae
ui quam descuat. Quod ute ad curvas vel spatia in veri cendu opes
et nreni valto explieansi ngitur rentum cognitarum serero, hoc etia pertacet ad Methodum
re
de
en
scrimine, quod 
ordinatidrum infigurs infine
tatiam trangulorum area ducatur in
distantiem certri gravitatis eorum a quodom aquodem ase summa orum solidorum erit momentum figure ex axe
tumentum inversat
quae momentum saepe datu crea monidata. Itaque amumera noba veo remata hiru eruergearot. Et genealiter lateu tando utru
inviblis isiplar vel ascriptam, quae terminum necesse
tes estin tinm sad semice helatiores aquanum c es ss inen possut
ponuli ceptandi simmitsto ad se nvi eus relationes tit quoninu qul entes ss iniveniri posstnt
rocisa
men sergut
2
et exemplo Gregorii a S. Vincentio
n
perinde aesi sin
signiae quamu oivi
alique (D (() e (B)(C)
aliquundu coincidunt
 hic tandem
 hae egiangula euntur
pcando pronibitur figuram data habebuntur exa sabe simplicia. quari et posst inenq