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# Title: Phoronomia, Sive De Viribus Et Motibus Corporum Solidorum Et Fluidorum Libri Duo (shelfmark Leibn. Marg. 182)
# Folio 240, page id 1066518432:0268
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240 DF VFRTBUS ET MIOTTBUS CORPORUM. LIB. II.
nam conversionis naris; quoniam ON normalis est directioni na-
ris OA, de potentia BN = BS relolritur in aequipollentes BO ecOH,
quarum BO, in directum polica ipsi O A, nihil ad grrationem navis
conterre, sed tantummodo ejus motum progrestirum aliquantum mo-
rari potest, adeo ut sola potentia ON reltet, quae conversionis et.
fectum praeltet. Similiter si clavus habeat sicum BF, denotabit RI
vimrotationis naris, si scilicet ductis VL. e BI normalibus claro BF,
Factaque BI = BL, etiam IK rectae AY perpendicularis dueta Fuc-
PII.
43T. Fx contemplatione tsurx ctatim apparet, iplas KI ec ON
aequales esse posse, et si anguli IBK ∞ NBO diverli sinE. RX quo
sequitur, duas direrlas clari positiones aequaliter aptas esse posse
ad naris conrertionem circa sC ip(am. AGANtUE enim SP EELMI P2-
rallelae TB, quae ipsis ON ec RL respectire aequales crunE, quan-
doquidem triangula PSB ec ONB, nec non MLB ec KIB similia
ec aequalia exictunt. Tam HIR: PS (=TIB: SB) = HIB: RB, et
ML: OE =OB: FB; ergo si PS e MI, vel IEI e ON aequales
HINE, CFIE CX aquO HIR: FO =B: RB, atque adeo HIR. RB =
FO. OB. TIinC, SI BHI rel BF dicatur a; RHI, t; OP, u, crunt
RB = aa - HE, dc B = aa = uI, adeoque FTK. RB = FO. OB
Fet aat = 1 = aa - W; TCu W = 1 = aaW = aat, adeoque diridendo
Per U = +, Crit un + ut + et = aa, qua eA aequatio indeterminata infi-
nitas suppeditans dirersas clari politiones, quarum bina de binx X-
qualiter apex Cunt ad naris conversionem.
432. Idcirco, (I W = t, hrabebitur 31t = aa, atque adeo t = V ; aa;
et hic ralor sinus anguli VBFI dabit positionem gubernaculi BII,
in qua ris rotationis naris maxima exister. Inde si angulus VBII
Fuerit gradtuum 35, 16 circiter, vel angulus HIBI graduum 543
min. 4t, politio clari BH ad conrersionem naris aptissima erit.
S C H OE L ON TI.
433. Dux in pexecedenti scholio ostenta sunt, etiam molis alatis
Facili negorio possunt applicari. Sic enim DE ala verticalis rento
circumasenda, cum axicula molxe AB quemlibet ansulum acutum
FCB continens; ventusque celeritate ut r, ex in directione nN pa-
rallela CB, ala DE allabatuE, Sintque FC, Ff Parallelae AB, eE FC
=CF, ductisque RM, NIL normalibus ad Ff SE FF, _E LV pa-
rallela rectae f. Per alae centrum N ducta intellisatur IIL aequalis
L F
16. 108
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