Full text: Gravesande, Willem Jacob: Physices elementa mathematica, experimentis confirmata, sive introductio ad philosophiam Newtonianam

MATHEMATICA LIB. IV. CAP. IV. gis ab hac diſtat, & in curvâ irregulari ferri videtur, quæ
interdum Eclipticam ſecat.

624.1.

958. 959.

Sit NVN orbita Planetæ cujus nodi N, N; ſit S Sol; T t Telluris orbita in plano Eclipticæ; Telius T; Planeta
V. Si V A concipiatur, per Planetam ad planum Eclipticæ
perpendicularis, angulus VTA, aut potius arcus, qui hunc
menſurat, eſt latitudo Planetæ : vocatur hæc latitudo Geo- centrica, ut diſtinguatur à latitudine Planetæ ex Sole viſi,
quæ Heliocentrica dicitur, & eſt in hoc caſu angulus VSA; de illa hìc agitur, Phœnomena ex Tellure viſa examinamus.

624.1.

TAB. XXI .
fig 5.
1006.

Quando Planeta eſt in Nodo, in lineâ Eclipticâ apparet,
& curva à Planetâ, motu apparenti in Zodiaco deſcripta, ſe-
cat lineam Eclipticam; recedendo à Nodo augetur Planetæ
latitudo, quæ etiam pro Telluris ſitu variatur; ſic manente
Planetâ in V, major eſt latitudo ſi Tellus ſit in T, quàm ſi foret
in t. Si, manente Tellure, Planetam ex V ad v tranſlatum
concipiamus, ex duplici cauſâ angulus v TB minor erit an-
gulo VTA, ex acceſſu Planetæ ad nodum, & ex receſſu
ſpectatoris.

624.1.

1019.
1020.

Si nunc conſideremus Tellurem & Planetam continuò
moveri, facilè concipiemus mutari omnibus momentis lati-
tudinem ex utraque cauſâ, quæ interdum contrariè agunt,
interdum, in augendâ aut minuendâ latitudine, conſpirant; unde neceſſariò oritur motus apparens in curvâ irregulari,
ut ante dictum, quæ Eclipticam ſecat, quoties nodos trans-
greditur Planeta, id eſt, bis in ſingulis hujus revolutioni-
bus; curva etiam hæc, ab utraque parte, non ultra certos
limites in Zodiaco ab Eclipticâ recedit.

Teleſcopio etiam deteguntur Phoenomena notabilia Pla-
netarum inferiorum, quæ ab horum opacitate pendent.

Sit S Sol; T Tellus; A, B, C, v, D, E, F, V, Planeta
inferior, Venus ex gr. , in orbitâ. Hic mutuato à Sole lu-
mine lucet, & hæmiſphærium Soli obverſum tantum illumi-
natur, hæmiſphærium alterum inviſibile eſt: Idcirco ſola
pars hæmiſphærii illuminati, quæ Telluri obvertitur, ex hac
videri poteſt; in V Planeta videri non poteſt, in v rotundus
apparêret, niſi radii ſolares impedirent quo minus videatur.

624.1.

TAB. XXI .
fig. 4.
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