Read e-book online Appendix: The Theory of Space PDF

By Ferenc Kárteszi (Eds.)

ISBN-10: 0080872492

ISBN-13: 9780080872490

ISBN-10: 0444865284

ISBN-13: 9780444865281

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1 ry , §. 39. ) Si fuerint (in plano) p 9 et s t II rectae mn (. i (forsan tnixtilinci) ecp ,cut congruent, atque ec= ca. Si yorro cf=ag, erit A a c f G A c a g , et utrum que puadriluteri fagc tliniidiuin cst. ), adeoque etfam cag+acg+cga=2R ; 'itaque i n quavis einsmodi At0 acg summa 3 I\lotum =2R. Sive in ug (quae II mn) ceciderit autem recta ar, sive non : Alorum rcctihheorum age, ugh, tam ~ ~ S O T Uqwam ~ stcmmarum Alorum ipsoruadem, aequakifar in aperto est. , s. 40. (Fig. 3 Aequakia &a abc, abd (abhinc ccc8iPinea) uno fatere aequofi gaudentia ,stmmas habent.

8 . 5). y qRb U ry ry dnlJlam. Si enim In secaret a m etiam ry cp secaret 'om in eoRem puncto(cum mobri3nacp), r u m quad et ipsis bn , c p commune esset quamvis 6n cet: turn 'ry 111 cp Y Quaevis d; (in cbn) vero secat cp ; adeo+ que secat bg etiam urn. Consequenter dnlllom. $I 9. (Fig 6): Sj bnlllarn, map L mab , atque A, quem n6d cum nba (in cn plaga ipsius pllobn, ubi map c s t ) facjt, sit il: turn nrup ec nbd se invicem sccant. ) ace R, et a f ( L c e ) in uce cadet. Sit up4 aectio (punetiim Q commune habentium) abf et amp; w i t lap = barn = R (cum sit barn L mop).

I n Llineo A ced (heic radio semper = 1 posita) ec : dc = I sin dec = I t sin cab. ) ec : dc =O ec : Q dc , (in F) = 0 6 c (s. ow: 0 6 " = 1 sin cab vis Afo liquet. ); adeoque est etiam ; utide asserturn pro quo- $. 26. o sunt sinus laSerum, iiti s i n u s ACoruon iisdem oppositorurn. Fig. 11. Nam sit obc = R et ced L a d sphaerae radium OD: erit ced L a ~ b ,et (cum ctian) 60c L boa sit) c d L ob. l a C\&ceo, cdn vero est (per 9. ) O e c : o o c : Ode= sin coe : 1 :sirr cod? ) c t i a m o e c :Ode= sin c d e : sin c e d ; Itaque sin QC : sin bc = sir] cde.

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Appendix: The Theory of Space by Ferenc Kárteszi (Eds.)


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