[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 129
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: 0.82.
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The machine reads it as
- Ot
- Ceale
- M, qu
- inct
- Det 1
- BFOMETRIC A.
- Demonstratio.
- DLanum AN
- est ad planiim
- BN, in duplicaca
- BC.
- ratione AB ad
- planum
- BN est ad planu
- duplicaca
- racione BC ad
- C. D, id est ex da-
- tis AB ad BC: 11-
- milicee planum
- COestad planu
- DC in duplicala
- racione CD a0
- CAFUESII
- ABadBC: Cmi.
- licet octendam
- COi
- ert
- L3
- ommla celiqua
- incer se esse in duplicata ratione A B ad B C: manifectum est ipicur omnia este iit
- conrnuz analogia: Duod eracprimum. secundu pars simili plane discurlu ostende:
- cur; pacecisitur vericas propolirionisi
- RO FD
- Eseile CCM 2G IE
- D
- F X V
- ea be
- Ademposica fisura daca line duo plana similia, batibus tomolo st
- indirectum politis, A M maius, B N, minus. Pecicur inveniri cermi
- nuslonsirudinis, ad quem proporcio dictorum planorum sine HaTuCOn-
- ciruata CHCUEreES
- 2C5OMI
- Mrre
- Constructio es demonstratio.
- DEroctua gesim Lluiusinueniatur proeressionis balium AB, D C terminus, Cicq. K.
- Dico etiam R cerminum esse lonsicudinis ad quem series planorum excurrec: pla-
- na enim similia quae hene super terminis progressionis basium, per praxecedentem
- erunt concinue proportionalia, ac proinde linearum planorumq; in infinicum pro:
- pressio, pari palsu procedene: quare veriusque cerminus exie R. Ouod erat detmon.
- strandum
- Corollarium.
- Demigitur punctum, terminus est progressionis balium, ec cerminus longicudinis,
- quemhabet seties tigurarum similium: sive, quod idem est, linca quae aequalis eAt
- exiei balium, est lotigicudo seriei figuracum Emilium, super balibus deseripearum:
- PROPOSITTO CZZVI
- Ata sic planorum similium continue proportionalium leries, homo-
- losisbalibus AB, B C, CD, ecc. in directum policis, habenstermi-
- num longicudinis punctum H;
- Dico, cotam planorum sexiem MI H eNte ad primum cerminum AM,
- ut cltrora leries balium imparium AB, C D, L. F, dec. ad primam AB.
Cite
[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 129. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0186?run=74