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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 13, page id 1040780814:0031
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ClLTLOMETETCE LLEMENTA.
demtemporedeleribere, quo Latera leparatis. Constat porro recta
e c este in plano parallelosrammi Bacc, cujus utrum que latus e c d
BC eA in plano triansuli aS B, quod nempe transit per Centrum Vi.
rium s, _ rectam immotam aZ. Praeterea triansula SCB, SCB
sunt aequalia, quippe cuper eddem bati BS, e inter parallelaSSB, CC
constituta; sed SCB, SB a unt aequalia, quoniam eorum bases Xe quan-
tur, _ altitudo eAt cadem: Ouare S B A, SC B etiam aequantur. F. d.
dem prortus ratiocinatione, si tertia Temporis particula Mobile de
scribat rectam quamvis cD; probabitur triangulum sc D aequale
triansulosBc, e rectam c D este in eodem plano cum rectis SB,
BC; hoc est, in eodem cum eo quod per rectam a B ex punctum s
traducitur. Ft ita porro, quousque motus continatur, aequalibus
Temporis partibus aequaliter ausebitur Arca, radiis ad immobile
Centrum Virium ductis descripta: Pe, componendo, (unt Arcarum
summa quaeris inter se, ut sunt Fenipora, quibus describuntur. Et
Linea d Corpore descripta jacebit in Immoto plano, quipre per
rectam immocam a B de immobile centrum s traducto. Sed ecrit
vertus 5 Cava, quia ejus qua libet portio recta, ut Bc, a praecedente
a B declinat versus centrum. Si auseri intellisatur criangulorum
S AB, SBC, SCD, EC. numerus, ex latitudo minui in infinitum:
horum Bases AB, B C, CD, constituent Lincam Curram versus eal
dem partes Caram, ex in eodem plano jacentem: ec Vis Centripeta,
qux prius quasi subsultim e per aqualia Temporis interralla agc
bat, qua Corpus de tansente ictius Curra (quam triansulorum
Dases entiuntur) perpetuo retrahitur, nunc indesinenter aget: A-
reaque quaeris descripta, S A B CS, S A BCD F S, erunt (ut prius) Tem
Poribus quibus describuntur proportionales. Ouod crat demon.
Urandum.
CROCoolCIOXLS
sus easdem partes Cava,  ractio ads punctum immotum in
eodem plano versas Cut da cavitatem pesitum ducto, describens Areas
Temporibus proportudds, dreetur à Vi Centripeta tendente ac
Orpus motum in Linea Curva a BC D, in Plano descripta, ver
Ac. quorum quae libet à recta mini-
me differt, tales ut Temporis parti
Dus aequalibus describantur: Conci-
viatur item Vis Centripeta subsul.
tim asens in tolis punctis B, C, D, CC.
ut in praecedente. Producatur AB
ad c, ita Ut B c aqualis a B; item BC
ad a donec c i aequalis BC, 8 sIC
Dorro. Frit Sa Btriangulum aequale 5.
SBC, quia, ex hypotheti, Area descripta sunt Temporibus prOPOr-
tionales; et SaB aquale sBc, quia a B aequalis B o: Ouare sBC eA
istud punctum 3.
lcusacur Curra a Mobilicparu  Palleo A b, B6.C2.
auale