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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 211, page id 1040780814:0229
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1040780814&page=229
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d
et
t eil
e
uta
nico
III
OdIt
iltai
C,
TaluI
male
esp
M piC
Politio
INOM
CoBB
ol
est
dle
D
1D.2.
EE AEDMETRTCA F LFMENTA.
xa
adeoque 50 = p - R: _ SCna; hOC CA, 2 a6B = , - k. CUIGUE CF-R- X
erit SF =R - X + Z=R AIqui 2ACS = 2 AGF + 2GSF = 2 AGF +
EFKES. Sed ex Scrierum doctrina nunc vulgo nota, in circulo cujus
semidiameter rocatur e, segmentum cujus lagicta a P. CA X; hoc CA,
ZACE = LVER: XI 2R 1X2
5V2
a 272
28Y. = ec.
Et ipSa CF = (Y2RX - X =, ex ipla operationC)
12R: X. -
2
2V2
R- Zx2
. 1612 = _C. Vnde SEKRC, Sive
VER. XE = sR. X
LDGIC Z AC5 = B- 1
2V2
IvRixI
L1ER: XS
+ 7R 2x.
1612
2R 2X3
EY2
3X2
5V2 2812
SRE X2 ( yR 2X3
P 3X
10Y. dc.
dec.
212 + 1612 c.
o-  duct. in V3 R; x:
R 2 XZ R 2∞3
2V2 161. c.
Ft pon oanatam reductam que aequationem secundum axtem
invenietur,
a = Y2BR E X: - 2R = X
2
+
V.bR2X p, P2X2
20 + _c.
Et quadrando utramque aequationis partem ad tollendam asrm.
metriam, eamque ordinando deletis terminis se mutuo destruen.
ribus, fiet
Sa t oK a 
36
2SFC Frians
et
45l.
Onde L leu AF =
262
663 24b4 720b6 C.
Sumped igitur AE aequali tot hujus seriei terminis quot libuerit, ee
ex F Crecta ad aB perpendiculari AC, occurret hac circulo in quae
sItO puncto a. O. H. F.
Ft per PTOP. T. eadem FC FIlipR cuivis AKB super majorem
axem AB deleripta OCCUEret in E, ita ut juncta si dividat lemi- e1.
PIHI ARB M aCaS PaTECS AL S, BKLS datam habentes rationem.
Odo Mnores ilerine diltantia punctorum ces (hoc elt, quo mi
nor FIlipseoS excentricitas) et ratio e ad 0, eo pauciores hujus Se.
CTermini in usum aliguem sufficient: Nam oportet rationem p ad
Pal Vaesse ut series, qua est valor segmenti ACC, cito conversat;
 C, Uc pauci illius termini sint scemento proxime aquales.
Proble.
a 4