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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 447, page id 1040780814:0465
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ib.
Hordam
equalbis
um e
CM P
inven
renat
C CxC,
modo
cedere
2C pet
adino
recta
omela
terete
igituI
id viet
iCa.
andis,
ceden
1;
Copu
rUM 50,
Cr(IS de
ACB, 
squb
DIX
fB.
IN
Lib. V.
SE CTEOMEFRFOA R E EMEN Y A.
dabuntur igitur et reliqua, nempe Xs X E5. In triansilo deinde
SXS dantur latera X5, X0 cum ansulo interjecto SX A; HOn latCBII
iditur angulus X55. Sed, ut prius dictum, datur politio rectae SX,
Tire angulus quem hac facit cum YX, cujus positio es Oblerrarione
nota, (nam in triangulo Xrs dantur latera r5 _ TX, L a ulus
XTS distantia inter Locum Solis cognitum Locumque Ciometa pl
mo obserratum, unde rXs innotescit;) _ igitur positio rectxe 5595
nota erit, sire Nodorum Locae Sole vita. Ouod s recta O0, XE Fu-
erint xequales, Nodorum Linea parallela est ad ox, ideoque positi.
One coonita.
Ad determinandum Tempus quo Cometa Nodum tenet, Sit cE
Trajectoria Cometae Der PFOD. XXVI. descripta per puncta a e E, In
cujus plano reperiuntur recta So, SE, Cit.
que superius reperta Nodorum Linca S52
Frajectoria in s e 8 occurrens; erit
(DEF PFOD. XIV. Lib. T.) interrallum tempo
ris inter Obserrationem primam _ mo-
mentum quando Cometâ ad Nodum ob
appellit ad interrallum temporis inter Ob.
servationem primam e tertiam ut area a355 ad aream aEs: Sed
arearum aESS _ cES ratio eAt nota; (quippe ipsa area cognita
TunE Cx PrOP. XXIV. Archime d. de Quadrat. Parab.) isitur et Tem.
Dus quo Ciometa Nodum so tenet. Pari modo innotescit Tempus quo
Ciometa ad Nodum alterum es appellit. P. F. F.
PROPOSITIO XZIX.
Nctinationem plani Prajectoriae Cometae ad planum Fclipticae
determinare.
Tisdemmanentibus, ex puneto 0 ad 85B Nodorum L inealH al
catur perpendicularis 08, _ junsatur c25.
In triansulo ase praeter rectum ad es dan-
EUT (CX PFOP. PFXC.) angulus OSes de latuS
05; innoteseit isitur 08. In triangulo de-
inde rectangulo 00e dantur latera circa
rectum 00 _08; e proinde notus erit
angulus 080, qui (per Def. 6. FL. XT.) CA
Inelinatio plani Trajectoria ad planum
Rcliptica.
PROPOSTTTO XXX
Rajectoriae Cometae Latus rectum principale, Peribelium, Tem
pusque quo Cometa in Perihelio versatur, determinare.
FOcoS Per puncta a e E describatur Frajectoria Cometae per
PrOP. XXVT; centro s per horum alterutrum (puta a) describatur
circulus Trajectoria denuo in r occurrens; jungatur a V, ad quam
ex s puncto demittatur perpendicularis se, qua producatur do-
nec Parabolx occurrat in n; erit n Trajectorix Perihelium, de
proinde