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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 81, page id 797435492:0129
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LC T. XI1.
III. Dato circulo retringente; punctoque quoris X; per punctur
X ducatur recta, qua suc incidencis ad daram positione rectam C. B
Parallele refractus.
Si punctum datum X ponatur in axe C B; Facillime perticitur ne- Fi8. T20.
eotium; etenim (I AAF R. I:: C Z. T; _ cenrro X interrallo ip
Jam P’adxequante describatur circulus retringentem intersecans in H.
e pramissis admodum pater connexum NVK per HI incidentis ad BC
varalleli retractum esse; quia scilicet est CZ. XN::CZ. T::
R. 1.
IV. Verum exrra casum hunc, e alios particulares nil huc atri-
mentes, seneratim conceptum Problema Solidum est, aut plusquam
Solidum (ut ex analysi non difficile perspiciatur) de certe via con-
sueta, per lineas vuloo receptas, constructu perquam arduum d
operosum; ita quidem ur licet mihi non penicus incomperta sic metho-
dus ejulmodi constructionem non unam moliendi, xere possim addu-
ei, tantum ut ei temporis, tancum laboris impendam, quantum
expolcit; luttecerit ieaque modum indigitare, quo per lineam quan-
dam sibi peculiarem, punctarim facili negocio delignabilem, ita
construi poltu, ut uria luam nacuram ac indolem prodar. modus ille
Sichabet.
V. Connectatur recta C X; harque C X. CV:: R. I; _ per FiB. 12T0
punctum V indetinite protendatur recta F C, datxe C B parallela;
cum e retringentis centro C rectae quorcunque C l exeant, rectam
FC decussantes punctis HI; _ cenrro X, incerrallo rectas V H Per-
Deruum requante deseripci circuli rectis C loccurrant punctis H; per
hujusmodi puncta quaeris lincatrantit, quam innuimus expolici Pro-
blematis Solurioni deserrituram; ejus scilicet, se dati circuli retrin-
sentis intersectio quaepiam incidenria punctum erit, ad quod per X
ducta recta retringetur in aliquam ips B C parallelam; seu vicissim
haec in illam. Sic enim talis intersectio quaris N; ec ducta NX ip.
Iam BC SeceF InR; _ LINE NM, ac X T ad BC parallelxe. Psque
CUM CR. RN:: (TZ. XNI:: TZ. VHI:: CZ.CV::) R. 1:
unde secundum ostensa liquet NVZK retractum esse ipsuS M N;
quod oporrebat factum. Ita Problema sucoesor urcunque licebit
exequi, nec non ejusce qualitatem incueri; quor retracti per ocu-
li centrum meent definire, lingulosque reipsa delionare, quae lon-
piusculum esset sixillarim exponere. cum aurem earenus imasinis locus
M
habearur