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

PHYSICES ELEMENTA GI; hoc enim valet quadrata linearum HI & HG, quod
ultimum æquale eſt quadratis linearum HF & FG.

481.1.

G

Si ſpatium refractionis in ſpatia quotcunque dividatur pla-
nis parallelis ſuperficiebus, quibus ſpatium hoc terminatur, & in partibus diverſis vires attractionis diverſæ obtineant, ea-
dem demonſtratio locum habebit; & poteſt utcunque etiam
in infinitum augeri diviſionum numerus; qui caſus extat in
refractione, quam lumen tranſeundo ex medio quocunque
in aliud diverſæ denſitatis patitur ; cui ergo applicari po- teſt regula n. 636.

481.1.

637.
633.

Sit Z medium rarius, X medium denſius, ſeparentur plano
EF; detur radius luminis AC obliquè in ſuperficiem EF
incidens; deſignet AC celeritatem luminis in medio Z, ſit-
que hæc linea AC conſtans; id eſt, maneat quæcunque
fuerit radii inclinatio. Centro C ſemidiametro CA deſcriba-
tur circulus; detur NCM ad EF perpendicularis; ex A du-
cantur perpendiculares AO ad NC, & AQ ad EF.

481.1.

TAB. IV.
fig. 5.

Motus per AC concipiatur reſolutus in duos alios, unum
juxta AO, alterum juxta AQ aut OC ; deſignabit linea OC radii celeritatem perpendicularem ſuperficiei EF, quæ
celeritas ſola ex attractione medii augetur .

481.1.

192.
634.

Sit CP celeritas, quam lumen acquirit perpendiculariter
percurrendo ſpatium attractionis medii X; poſitâ luminis ce-
leritate in ingreſſu o. ; hypotenuſa OP trianguli rectanguli
PCO erit celeritas radii AC in medio X, juxta directio-
nem perpendicularem ſuperficiei EF ; celeritas luminis jux- ta directionem AO aut QC, parallelam ſuperficiei EF, non
mutatur . Sit ideo CV æqualis AO aut QC, & VB perpendicularis ad EF, æqualis hypotenuſæ PO, ducatur-
que CB; erit motus per CB motus ex ambobus compoſi-
tus, & determinat linea hæc ſitu ſuo directionem, & longi-
tudine ſua celeritatem luminis in medio X ; quæ celeritas variâ inclinatione radii AC non mutatur. Quadratum e-
nim lineæ CB valet quadratum lineæ BV aut PO, & qua-
dratum lineæ CV aut AO; quadratum vero lineæ PO valet
quadrata linearum PC & CO: æquale ergo eſt quadratum
lineæ CB tribus quadratis linearum PC, CO, & AO, quæ

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