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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 27, page id 797435492:0047
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L. F. C
Y.
Cartesio quidem primo repertam, sed ab aliis plerilque recentioribus
opticis Norsenno, Hlericonio, TTobbio, Maignano, quin e ipso ejus
conlodale doctissimo Rrcciolo lulceptam e approbatam; quamm e cer-
te hujus Scientia non parum incerest veram deprehendi) labetactarum
iret; eam porius imprudens experientix suttragio communirit. Oni-
nimo (i quid insic huic principio vicii, illud porius erit, quod in maxi-
mis inclinationibus retractionis angulos extribet apparenribus ali-
quineillo majores; quae tamen discrevancia num iplius legis hujus, an
experimentorum delectui, vel accidentariis quibusdam incervenienti-
buscaulis adseribi debeat, haud Facile pronunciaverim. Nec enim
Fortassis cognata reslectionis lex, a nemine non admilsa, experimen-
tis omnibus praecise responderet. Nobis sufticier quod in reliquis in-
dlinacionibus, mediis praelerrim, dicta lex experientix, quam praefe-
runt auchores, perquam consentarca reveritur; addo, quod ab ea de-
ductae conclutiones cum experientia mire conspirant; nec ab ea quod
animadverrere porverim, uriquam discordant. Fam proinde (cum alia
probabilio haud suppetar, Geomerricis, raciociniis praesternenda) non
verebimurubiris ut racam sumere, ac adhibere. Patis certi (apud nOs
salrem) in elicitis ab ea conclusionibus haud omnino quicquam nota
biliserroris emerturum.
IX. Obiter hic _ nasen Bannus problemarion quoddam interteram Fis 21.
(quia Schemanum. 6. superius ei gratis inserriet, ejusque constructio
esuperiore constructione derirarur.) Per datum in retringenre pun-
ctum (B) incidentem ducere, cui datus conveniar ansulus retractionis.
Ducacur B P retringenti perpendicularis (hanc aurem duci posse sup.
ponimus, auc poltulanius) _ ad diameerum B P construatur Pemicir-
culus; de sit urcunque PC. P a:: l. R (prO P C. vero praectar ipsam
diametrum P B accipere) Sumaturque Arcus C. K subcendens angulum
parem dato. FiaE aurem P X = P a. _ per C, X ducta recta circulo
occurrat in s. demum accipiatur ArcuS SH = = GR, erit ductx BH
retractus B s (uti praecedenrem discursum inverrendo non difficile col-
ligitur) adeoque liquer Factum esse quod erat proxositum. HIOC PrXTeF
ordinem; ergo pertunctorie.
Cujuscunque generis lined LSincidatradius M N O ad H, F18. 24, 23.
litque dicte lineae perpendicularis recta NC; e in hac ulcunque
Tumpro puncto C, per hoc rranseat incidenei parallela CB; quacum
conveniat ipsius MO inAerus ON K; erit in refecrione RH =-R C:
et EO A H. A C. ::l. R. (vel irem, si in ipso inAexo
fumatur