Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2, fol. 49v
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.92.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
One image of two folio pages side by side, registered by the library under both labels (also fol. 44r); this page is its left half.
The machine reads it as
- ad 91, it d k e ad h 2 qd erat ostendendum: pr 90
- 9d 02 e aequalis ipsi a k. et ex eo pr, qd 0b, oue aequalis fit
- ipsi bh, qua rot supra dectum e adaita ad b l aequalis e maa
- mxa diametro dR. unde sequitar id totum gd demonstrandum
- suerat, nempe qd à l set ad gL in ea rationes quam hent
- inter se a K, et h 2; cum à d k et h 2 eam Teont inter Le
- raoem quam het sinus anguli sncdiae ad simum angule retractionis,
- sequitur in illa eadem rae a l et 9 1, verosque monde
- in hecc segura Fe ce atque extibere simes al quidemmudia
- gevero netractionis.
- Vnde et apparet qu’sepsus radius ab a sn b ad perpondicdarem
- 9 accedat vsg n 2 focum ellypsis entenorem, qda necmagis
- me nmus possit ad sem accedere. id vero eum pernde de
- quocumqe alio radio pbari possit, cum alius aeque erigi potuendt
- de quo id demonstraretur sequitur qd radii oes quecumest et quolcumgh
- veniant a pertibus a parallele axe d K procite concurrure
- debeant ae fouem c’exteriorem, atq ado qd sigura vitre
- si Mopteca sit demonstrari ca vost apta ad colligendos radios
- in onum gddam punctum, et gd geopetrice in detrari
- posset ad quod pracise in sla sint pos retractionm delorquendi,
- suecte fucerat inio pposctum demonstrare.
- HC porro vnum aduertendum e qd Soctasle antea datromtuit
- nempe qd radii a supersicie curaa elyptua aut alia quuumque
- ita detorqueantur, ae se in puncto smudia aut alio quovmyh
- plana seperfecies cet qua in sigura per sangentem e crepraesentatur.
- vi quaras unde hoc heatur, reo od expersa ipsa onset in quacumqu figara
- qud superticie curua senninetur, suve quoad angulum restenions, si
- sit crus opacum sive quoad retractioms angulum si diaphanum sit
- Demonstrat in Carthesius; o minus feluitor punctum oncursus
- ac pelluudum.
- radiorum axi parallelorum in hyperbole, sed priusquam ad slam
- demonstrationem transcamus Bhonum erit hue aliqua adnstare
- quibas de rioistato eonstet huuus utrius ost demonstruois M
- ollvento divestruca ut videlicet hoc vtrumque ejus nuxtum tanti siat;
- quanti reipsa astimari debet hia oobu onvidoratio et acairate
- perpensis quae ex iilo dedluui posunt ad qius droctrua portatinem.
Cite
Leibniz-Handschriften zur Optik und Dioptrik LH 37, 2, fol. 49v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068531:0098?run=74