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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 440, page id 1041163592:0474
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440
PTITLOSODETE NATORALIS
DE MONDI AGaEUE recta ABC, cujus partes AB, BC rectis  A e B,
ESTEMATE GB e DC incerjectae, Ant ad invicem ut tempora inter obser-
vaciones eres primas. Producatur AC ad G, uE HIE AC ad AB
nE tempus inter obserrationem primam ec ulcimam, ad tempus
inter obserracionem primam ec secundam, dc junsatur G)Cr. lE
Si Comera moveretur uniformiter in linca recta, acque Perra vel
quiesceret, vel etiam in linea rectas unitormi cum motu, progre.
derCEUE; FOreE angulUS Y O C longitudo C OMCEX Tempore OB
serracionis ulcimae. Angulus igieur SOCr, qui longicudinum dif
Ferentia Cst, oritur ab inaequalieate mocuum Cometxe aC PerrX.
FTic autem angulus, A TOrra _ C Ometa in CONFraTIAS ParEeS MO-
ventur, addicur angulo rQG, e sic motum apparencem C0-
merxe relociorem reddit: Sin Cometa persit in casdem partes
cum Terra, eidem subducitur, motumque Cometae vel cardiorem
reddie, vel Forte recrogradum; uri modo expolui. Oritur igitur
hic angulus praecipue ex mocu Perra, dc idcirco pro parallaxi Co-
mecae merico habendus est, neglecto ridelicet ejus incremento vel
erremento nonnullo, quod a Cometae moru inxquabili in Orbe
proprio oriri posit. Distancia rero Cometxe ex hac parallaxi sic
colligitur. Designet S Solem, ac Z Orbem magnum, a locum
Perrae in obserratione prima, c locum
Ferrae in obserratione certia, Y locum
Terrae in obserratione ultima, ec Y r li-
neam rectam versus principium Aricris
ductam. Sumatur angulus rTV aequa-
lis angulo rQ F, hoc est, aequalis lon-
gitudini Cometae ubi Perra versatur in
T. Pungatur ac, ec producatur ca ad8.
uE SIE aC ad ac ut AC 2d AC, et
erit e locus quem Terra tempore obler-
vationis ultimae, motu in recta ac uni
Formiter continuato, aeringeret. Idco-
que si ducatur e r ipA Tr Parallelas
ec capiacur angulus rsV ansulo r C
requalis, erit hic angulus rsV aequalis
lonsicudini Cometxe c loco s spectati;
_c angulus TV parallaxis erie, quae oritur a transtarione Tertx
de loco s in locum F: ac proinde V locus erie Cometxe in plano
Feliprica. Hlic aucem locus VOrbe soris interior esse solet.
Idm