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# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 87, page id 1041163592:0121
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PRINOIDTA MATHIEMATTCA:
87
Bentes alias qualvis duas GCD, FD F. in L _E K. Per harum LIVEn
cangentium non parallelarum CL, FR cum parallelis C F, XL. PxIMOS.
concursus C ec R, Le L. 2gc CR, FL concurrentes in R, e rec-
ta O R ducta ec producta secabit cangentes parallelas C F, RL. in
Dunctis contactuum. Patet hoc per COrol. 2. LCm. XXIV. P. 2-
dem methodo invenire licet alia contactuum puncta, ex tum de-
mum per L. Probl. XIV. Prajectoriam describere. 9. F. f.
Scholium.
Problemata, ubi dantur Trajectoriarum vel centra vel ACymp-
toti, includuntnr in praecedentibus. NNam datis punctis et tangen-
cibus una cum cencro, dantur alia toridem puncta alixeque tansen-
res a centro ex altera ejus parte aequaliter dictantes. A(YMPEOTOS
autem pro cansente habendta est, et ejus terminus intinite dictans
(s ita loqui Fas sIC) pro puncto contactus. Concipe tangentis cu-
julris punctum contactus abire in infinitum, ex tansens vercetur in
Alymprocon, aeque constructiones Problematis xer ec Calus pri
mi Problematis xr vertentur in constructiones Problematum ubi.
ACyMPEOTI dANEUT.
Potovam Trajectoria deseripta CA, InVeMIC HCCL a_s d UmBI
licos ejus hac mechodo. In constructione et Agura Lemmaris XXI,
tac uc angulorum mobi-
lium PBN, PC N cru-
ra B P, CP, quorum
concurtu Trajcctoria de-
scribebatur, sine sibi invi-
cem parallela, cumque
Terrancia sicum revolvan-
tur circa polos (uos B, C
in hgura illa. Interea ve.
ro describane altera an.
sulorum illorum crura
CNI, B N, concurtu
suo R vel k, Circulum
IBRGC. Sic Circuli
hujus centrum O. Ab
hoc centro ad Regulam
MN, ad quam alcera illa crura C. N, B N WLCd ConCuETCbAHE
i