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# Title: Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2
# Folio 51v, page id 00068531:0102
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 42r); this page is its left half.
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 48 lines, status machine
# Lines: 48 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.
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# After the first blank line: the recognised lines in reading order, one per line.

spatio sirnom ronguis remocatur abgsa face, psterca qd s’une radiisant
inter se minues snclinati imagis ad paralelesmum alcedunt:  nela. 2 od
pamm aloas, altacce pargus simodo penissima sit nihilz sor duem Du
atrituqe contravent o comburatur aut alome sallom conciicat rarem, que
ad combustiguem debet calesactu praecedire dessecillme à colet  album trus
quia in olbum orus radii na penetrant oie nuommorantur n ojus
supertecce, sed or aequabilis, oco superticci partium quioces componuntur
haec cra radi des n Mud ilassi remittuntur, et cudem ve qua m Mud mudorant
contrarium senteendum: e de cre niguo qd fucillus catens onbey ignem concept
ppter opposctam ravem.
demd de Cyptica rente jam demontratum e simitte de hyperbolica et
demonstrari, nam slle similter radios parallelos vencentes a partibus Acollaet
ad focum entenorem s, si modo superteries ipsius set desonpta suvert e
homologa etrao deametronom majoris et minons C si n voco h 2n k D) 
et amactus retractionis ad angilum muceiae, quaprocter se sot lens ritrea
aucus supestecres concaua B sit hyperbolica, et cottera stem (C ciraclans
apanto conunus i desorpta; harc radies parallelos ab A olleget in icum
radii srajecti per superteciem hyperbolicam, nallam aliam detraoem acuxiant a
circellaro supertecio praeter eam quam hent ab hyperbolica superticice it sendant
n s, etrao e qd sla mudant in superteciom errcclarem it sint ad illem
perpendiculares, Atque adeo retrma o debent.
observat Kepterus qd eandem inter se propotionem retinent ongulus
nudsa et retractios, quamdiu angulus smidia o excedet 30a gradus, si
a excedat 202 graduis, sune dict pportidnem Mam o amplus sercar,
su mutari assodue, et ea propationo decrescere quo major e angolur
nuderiae hoc se verum e rtent quidem rens robrea srutu suporticie
ABC qaeo excedat dios gradas 30: radios Collegere parallelos ad viuus
et sesque-diametri distsam ut sdem Retlenus ostendit proposctione 222
Deo se maior sil 20. gradibus propuis et propies ilos colliydt ut
sendd proposstiine 392: propterca qd fune er Crescentibus
angaliat mudentia, iam accedent magis ad perpendicularem
extremi radii post retractionem
stem si vera e haec obserauoe Chrcheri optime MMo cnctudit
aptissma oium sigurarum ad eolligendos tadios parallelos ad vuum s demass
punctum oit perbolica, sed es addi ad mepussima sit Mlypsis,
rao ce ad poscta, 3 aquardbus lerndus aa bb cc quarum vna-
snetur laperticie hyporbolica, altera bo cinculari, et altora ccsystua,
iidem radii minis initimabuntur ad supertaem typerboluum,
immones que cum schus perpondicurarious angulos mudsa consituent,
quam cum pemondidularibus supertroui cirrularis, et maos oium
cum Eyptica pependicclaribus, et attendenti ad figuram huc
apposcham patebit.
Verum ostendamus ium quoo eadem oitra ijsdem quibeus antea
Suxpitsccebus srata spatium aliquod ad nxam distoam possint
Mustrare o iam lalorem sonsiblter, sed clum duntaxat
lumon, sintendendo; si g in puncto concorsus radiorum
parallelorum. qd. in Superiorbus
ducabas figuris o pactum e in