[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 734
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The machine reads it as
- De Calculo Centri Cravitatis.
- CiaD.1.
- Fig. Fs autem (per prOP. praeced. 5 O.) Sphaerici Sectoris integri BCBA
- c50, maenitudo, 60 P = SV RP; (adeoque semisectoris magnicudo, 20= P = SVRP;
- 260. e Ongula Semiquadrantatis, qui huic respondet, (incellise, qui Sectori circu-
- en
- lari BC A insiltit, aciem habens Aa) magnicdo : c2 R = 3 V R
- Ducta isitur distancia illa in magnicudinem; Elabetue momentum Sphaeriei se
- Etoris inceori BC B A (respectu AXIS motS, Planire FangenLS, 7∞,) 3C2R∞ +
- 166 B~ = V R= P =3VE RD = ZVR2 P +8s2 RP: Semilectoris, 5V R2
- =16s2 RP: Onoulaeque Semiquadrantalis, 2 2 R 3 3 52 R2
- F respectu ipsius T a, momencum sphaeriei Sectoris incegri BC B A, 5C2 RX
- 16C= BP = 13 V R2 P = 5V=RP = LV R= P = 5s RP: SemilectoriS SVR= Y
- ios RP: Ongulaeque Semiquadrancalis, 5V R. 3 52
- Et speciarim, qux tori Semicireulo intistic Semiquadrantalis Ingula aciem ha-
- BenS Aa; (DFODIET V = 2 R, e s
- 0,) etZR3, e solidum convertione ta-
- ctum, hoc est, Sphaera intcora, 3 R2 P: ee Semisolidum, seu Hemispharium L P. P
- Diltancia Ceneri graricatis a r a vel. Y A, R: Momencum Ongula respectu ra, vel
- EA, 3 RE; Sptiara, Z R3D; Fremisphaerii AD~; ZR3P.
- Deinde (Der PrOP. PracCd. SR.) Coni intcori B BC, (conrertione Prianouli
- 52 ∞
- BYC, circa Aa,) magnicudo est
- 29
- L∞: Ongulae Semiquadran.
- calis, Er. HLOC ett, Si V CC Cupra C Centrum, P s P, 5 P, R 52: Siue in
- P
- tea Cenirum; . 2 ∞ v- R 2∞ V k
- 6R
- 22
- R
- 72R
- Est autem (per 6 hujus) Cencri gravitatis d D C distantia, ZN: FTOC CR
- R = 2V, SI FuPra CCHErUM; _ 30L ER, E intra Cenrum. FF utroque casu
- uldem 2 r a dictaniia, 2R - 3V = R = Z N: AIque a LA, a R + Z = R F3 v.
- Ex proprerea (ductis magnicudinibus in dillantias) Momencum, respectu ixtius
- Ton Coniinceeri BCB, 5.L 5 P L ; Semi conis 1. L 5 X + =
- a
- 8R,
- drancalis Ingulae Eus. P L LV2: vet
- Hoc elt; si tupra Cenrum,
- SSVR 55; Si intra Centrum
- 5 + 35vR + 551.
- 7R 3V
- 2+R
- R
- 7R - 30
- 1522
- N = qua 35 2g
- 18 as D, 2s R = ENSV.
- P - 40R - 35.
- 148 X
- 52P, -SR-
- 7X + 40 R + 35 ∞ = 7 N + 40 R + 35
- 24.R
- 48R
- EE, respectu iptius FA; momentum Coni inceeri, semi coni, dt Semi.
- 2
- 52
- Qactrancalis Oneulae, 3 x S P + 8R. 3 L N S = P + 26 R 3dX s R F B ~ S: vel
- R + 30
- 24 R v 524 R + 30
- 48 + s P, 3. 4 s R + 8 5 v. HOC et, Supra Centrum,
- R2 4V R + 35
- 24 X
- 3. p, e =40 Re + 35 . 8, iis - 55 v + 3s0; vel
- Intra cencrum = R + 4v R = 35 29
- +3522R - 15a 24 R
- R + 4v R - 35 5 8
- 48R
- us R
- Flaec itaque momenta Coni, Semiconi, Ongulere, BBC, BV C; momentis de-
- ctoris, Semilectoris, Ingulaere, BCBA, BC A, respectiris; Subducta, Additare
- prout vel supra vel intra
- Sulaere, BB A, B V a momema respectu iptius r an LV R2 P= 3s R P + 6 v
- E
- + 8P, 6VR2 P = i s RP + i s vD +
- 51 = 5v R + 3s v R + 552.
- 16P, 50_ = 1 s2 R. + 3 5. v R +
- D.
Cite
[Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica, fol. 734. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/851387705:0754?run=74