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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 243, page id 1041163592:0277
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ReE. S. Invencis
RTNOTDTA MATEEMATICA
43
sicudinibus AH, _IX; R jam deIderCTIE LIVER
positio rectae AFI, secundum quam Projectile, data illa cum reloci- SecvnnVS.
tace emissum, incle s pustecun quot K: ad puncta A e R
crigantur rectae C LL  Serpendiculares, quarum AC
perbolam illam in puncto Ll; dc
emiltum incidet in punccum R.
deortum cendat, de aequetur ipsi AL scu ETIX. ACymptotis AR,
LF describatur FIyperbolas cujus conjugata transeae per punctum
Prescuu secundum rectam AH
L F. I. ITam punctum TI, 0b
K F, illi in Fo, huic in f; ex ob
C, centroque  ec interrallo AHI delcribatur C irculus secans II7.
dacam longicudinem AEI, locatur alicubi in Circulo descripeo. A.
saTUF C HI OcCurrenS ip SIS AR et
E
parallelaS CFL, NIX ex aequales AC, AP erit AF. aequalis AM,
et propterca celue aquan l ll. dea a LIL ILLLC a
KN, _ PEOPEETCA C F X FHI aequantur. Incidit ergo Pum
TT in sIyperbolam ACymprotis AR, R F delcriptam, cujus cosa
data clansit per punctum C, aeque adeo reperitur in communi in
Tersectone Iyperbola hujus ec Circuli descripei. G. L. D. N9.
tandum est aurem quod haec operatio perinde se habets sire recta
AR N horizonti parallela sE, sire ad horizontem in angulo que
vis inclinata: quodque ex duabus interfectionibus II, II duo pro
deunc anguli NV AFL, N AHI; e sudd in Praxi mechanica sutticie