[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 105
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: 0.91.
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The machine reads it as
- LIB. II. DE COMPRESSO
- OR O L F
- Elinc primo colligo, etiam chor-
- dam in sicu inclinaco, incuruArI
- Proprio pondere, in duas Lemipa-
- Fabolas, v. 9. sc chorda inclinata
- eig. 26. IZ, cuius centrum (CS, quod
- deorlum chorda adducac in IV Z,
- V. 8. duCaNEur ZT, 6 7. Parallela
- SV, cum. X8. parallela IZ, dico
- 2T, ese lubduplam VS, Ve constat
- ex dicis, isicur si punctum T, vel
- 2 lingulari nisu adducat Seomen-
- cum LV, in IZV, icemque punctum
- 8, vel 6, ad ducac Tegmentum V Z.
- in V7 Z; & per puncta l XV,
- icemque per V7 Z. ducatur linca,
- crune duae lemiparabolae: ducatue
- enim YE, perpendicularis, eum
- L y, ec 7 S, parallela VT; dico
- Y. esse subduplam VP, icemque
- 95, repatet ex elemencis; icem-
- que YX, elle subquadruplam VI,
- icemque 97. igieur IXV, est semi-
- parabola, cuius amplicudo est TI;
- icemque V7 Z, alia Cemiparabo-
- la, cuius amplitudo est IZ; igicur
- Chorda in seu inclinaco inCUFIAEVE
- in duas Cemiparabolas.
- Secundo colligo, has duas semi-
- parabolas esle inaeguales, nem; c
- superior est obculior, inferior verd
- acurior; Cunc aurem re lonoicudi-
- nes amplicudinum; cum sine cius-
- dem alticudinis, nempe planum
- (V7 Z, est ad rectangulum lub
- TZ, VE 2 ad 3. icemque parabola
- TV=L L ad rectanoulum Cub VTL,
- VE 2 ad 3. Ve patet ex conicis; ici
- tur praedictae lemiparabolae, TunE
- incer le re praedicta rectangula;
- hac aurem re amplicudines ZL,
- Tertio, A planum Rexibile, in
- duobus laceribus horizonei paral.
- F
- TENSO.
- lelum imnobiliter aTigatUE,
- curuabirur deortum in EOF parabO.
- las, quoc Cune puncta in lateri bus
- actixIs; quae latera si sine in eodem
- plano horizontali, InCUFUaTUE PEE
- dictum planum, v. 8. linceum eodem
- modo, quo chorda centa iunca
- Prop. 162. Si vero non sine in eodem
- plano horizoncali, sed in eodem
- inclinato; incuruatur predictum
- planum eodem modo quo chorda
- cenla iuxta corOl. n. 1. denique (1
- pradictum planum sic pacallelum
- Plano verricali, ciulque tandem
- duo anguli immobiliter aftigantur.
- duo latera oppolica, quorum sci-
- licet rnum Turlum est, de aliud
- deorlum, incuruabuneur in paca-
- bolas: v. 8. Sic linceum rectangu-
- tum, AS, in sicu verricali actixum, Fi8. 253
- in punCtiS AF; LaEUS AF INCUEHAEUE
- in parabolam ACF, de latuS OS
- in parabolam QTS; Ve ConstaE ex
- diclis.
- Ouaxto, E plani circularis pe-
- ripheria aftigatur horizonei paral-
- lela InCUEHaEUE Eocum planum
- deorlum in Cuperticiem pacaboli-
- cam; nempe perinde est acque si
- LOc CBenE chordce inCuTUaTA, quOI
- Cunc diameeri in praedicto circulo;
- E planum sic rectangulum, de afi-
- satur in quaruor angulis, incurua-
- cur etiam deortum in Cuxertciem
- Parabolicam; est enim eadem rario;
- adde quod in Hoc calU, quaCUOF
- lacera in quacuor patabolas incur-
- uaneur; idem sic in planis crianon-
- laribus, polygonis, dec. est enim
- cadein ratio.
- Ouinto, si chordae cenla inserta
- Sine grana xqualis ponderis, etiam
- deortum incuruatur in parabolams
- cum sit eaclem rario, quam hic ini-
- nime sepeto: huc reuoca naurica
- reldi
Cite
[Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta, fol. 105. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/779782283:0191?run=74