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# Title: [Johannis Wallisii SS. Th. D. Geometriae Professoris Saviliani Oxoniae, Tractatus Duo] Johannis Wallisii SS. Th. D. Geometriæ Professoris Saviliani Oxoniæ, Tractatus Duo (shelfmark Leibn. Marg. 103)
# Folio 22, page id 85138403X:0038
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 44 lines, status machine
# Lines: 44 recognised, mean confidence 0.88
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lo
Eolidi ex conversione omnium Trianoutorum, hoc est Semicireu
li Ccirca rectam C F;) quaerenda rariocum omnium Onadra 0-
rumm Z Z arichmerice proporrionalium, cum omnium Rectanoulo-
TUM ZZ Y, in respectira Peiangulav F P, SiVe (propter aquales
ubique o p) in respectivas Alcicudines Y F. ad omnia GuadFaLI
2 Y in eadem respectira sive Priangula sive AIcicudines. AEque
ilta demum racio E ducatur in rationem 18 adt 3, Sire 6 ad L; AC-
que haec quidem in rationem 20 3d3; e urrisque candem ((C
ductis) adjunsatur ratio 7 ad 3: Flabebitur rario ea quam habet
momentum solidi ex semiconvertione Semicyeloidis cicca C F,
ad momentu solidi ex Semicirculi circa eandem C F Pemiconver-
Tione, respectu ejusdem C F linea aequilibrii. Unde (I exIMIEuE
ratio magnicudinum; habebicur racio distanciarum centrorum
Gravicacis.
66. SiilIteE R EUMAHEUE (In R9. F vel 8) omnes Z Y aqua
libus incerrallis dissica; ex quarum semiconvertione circa C F
Fie Colidum C Veloidale, sicur ex semiconvertione Semicirculi sive
omnium in eo ordinacim-applicatarum circa eandem rectam Ac
Tlenisphaerium: Frie momencum illius ad momeneum hujus, re-
spectu ejusdem CF rectae, ut omnes cubi rectarum C Y, ad Om-
nes cubosrectarum Z Y: HOC elt, ut omnes Z L C + 3 2 J GXZ Y
+ 3ZZ XZ Y9 + 2 X c, ad omnes 2 Y c. Oux quidem omnia
similibus mechodis ad calcutum rerocanda TunE acque supe-
FIOTA.
57. Porro, Aquis de Segmentorum Circularium et Sphaerica-
lium sire Magnicudinibus sive graricaris Ceneris hxesitet, (quae
Supea 5 33, 40, dari supponimus,) sic habeac. De circulo, nemo
nescie, ex ductu Semiradii in arcum Z C vel 22 Fig. 6. haberi
sectorem ZC C vel Z62; cui s auferatur Triangulum Z6C,
vel ZC Z, manebit segmenEu Z C vel ZZC; (incellige, (2
2C Z arcus non excedat Semiperipheriam; ubi enim excedit non
auferendum ekt, sed addendum Priangulum Z C72:) Tum, adden-
do Trionoulum ZFC vel ZFZ, haberi Sectorem ZFC vel ZFZ. FE
sic alibi. Fx in Sphaera similicer, superficies sphaerica 2CZ, abscissa
PlanOZ XZ est ad coram sphaerae superticiem, sire quadruplum
circulimarimi, ut C Y ad C F, (uri norum est:) ea vero ducta
in crientem radii, dac sectorem spharicum 6ZZ C. (factum ex
COn
Fig. 
dermena
Crrenii 
dBatuo
ExCLOTE