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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 194, page id 1040780814:0212
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19+
ASTRONOMTA LALSFCA
tione tinuum notorum arcuum PN, PM; item ratio sinuum angulo
TUIM ablAEOrUM L NI N, L NMI, eadem cum ratione superius inventa ar-
CUIUM L N, E. M; item anguli reliqui PME, PNL prius ex calculo in-
renti. Innotescent isitur (per praecedens Lemma) ipsi anguli PMN,
PNM, LMN, L. N M. Rurtus, in triangulo M P N, Cx datis lateribuS PM,
ex cum angulis ab illis subtensis invenitur BasS MN. FF denigue
in triansuIO LMN, ex datis ba (I M N _c angulis adjacentibus L MN,
L. Nm invenientur latera LM, L. N Parallares quaTta. 9. H. L.
Si obserrationum altera facta fuerat Phanomeno in Meridiano
existente, tum triansulOru PML. vel PNL. alterum mutatur in ar.
cum, e calculus multo simplicior eradit.
Si vero Phaenomenon L. Oeclinationem mutet, et quidem aqua.
Biliter, (quod in una Perra rerolutione pEXteKPEOPEOK Aet,) ejus
Parallaxin venabimur nihilo minus, loca Phaenomeni per Declina-
tionis partem proportionalem sic corrisendo: Ouando Phanomenon
Primo, deinceps post obserrationem primam, Arimuthum L n attin-
sit, oblerretur ejus Alcitudo apparens, qua diversa erit ab altitu
dinc pridie obserrata, alias eandem retineret Declinationem. Sit
disterentia a. Vocetur interrallum temporis inter primas duas ob.
serrationes in mr _ N Factas, B; e tempus inter binas Phaenomeni
obserrationes in LM AZimutho, C. FEt si praedicta Alticudinum disse.
rentia a sIE exceNus, Altitudini apparenti in mr addatur ; R vero
difserentia haec desectus sit, auseratur ab cadem. Iaec summa vel
differentia erit correcta Altitudo apparens, qua (loco prioris Altitu.
dinis in LM) in calculo praecedente posita extribebie Phaenomeni
Oeclinationem mutantis Parallaxes quae staS.
PROPOSTrTOLXI
X duabus Phaenomeni Mtitudinibus, cum Azmutho earum al-
Lteri respondente e Tempore inter binas observationes, Phae-
nomeni P arallaxin investieare.
Sit Polus P, Phaenomeni lOCUS YETUS E, aPPaTeHS F cum Lemth ell
X, e _ cum Zenith CA Z.
Dantur dux distantix ap.
parentes a vertice, nemDe
XF, Z E, C angulUS PXF,
cum detur unuS AZIMU.
thuS, C anguluS XPZ CX
tempore nOTUS. In trian
sulorxZ iloscele, c datis
aequalibus lateribus PX,
Pz. e ansulo XPZ inveni
UnEUT PXZ, XZ: CumquO
detur exF, invenitur etiam Z XF. Dantur isitur in XZ F triangulo
AZ, XF, Z XF; e propterea innotesecunt Z F, Z F X. Datur isitur ratio
lmus ansuli Z. F 1 ad sinum anguli Z HF; eadem nempe quae sinus
AXCUS