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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 26, page id 797435492:0046
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E E C T. III.
CP a HF sita disponantur, ut latera P C, PH sibi congruant (un
demajor ansulus C P a minorem FI P scomprehendet) cum centror
Per sdelcribatur circulus _ s F ipsaS P C, P a secans punctis P, F; irem
Connexa F II, CentrO HI per s transeat circulus HI M N iplaSHIP, HF
Secans punetis NV, M; denuo connexa F s cum P C conveniat in L.
FAque ja arg. a P A. ang. S PH:: SectOF F P S. SectOF SPF L
Frians. F P s. triang. SP L:: F s. SL:: TrianS. FH S. SHLL
seSOr MHIS. SectOF AHNI:: ans. FHIA. ang. sHP. est isi
tux ang. a P N. ang. SDH = anS. FHN. ans. sHP. ergoque
compolite ans. a P C. anS. SPHL ang. FHP. ans. SHP. Per-
murandoque ans. a P C. a1is. F. HP = ang. SPHI. ang. SHIP. est
autem HIF. P F:: HP. PS:: T. R:: G P. P a. adeoque F HI ad
a C parallela; rel ang. FHI P = ang. a( P. ergO exit ang. a PC.
anS. aC PE an8. si PH. ans. sHP. hoc eAt ans. a BC, a BP
E ans. s BH. ang. SBP. vel componendo ans. G BP, ans. a B P
E ans HBP. ans. SBP. Ouod erat demonstrandum.
Corol. T. AnS. a BC. AS. a BPF anG. sB FI, AH9, A BP
2. An8. a BG. anS. PBOC an8. s BHI. P BFI.
Opportunum est hoc Theorema conciliandis cum experientia pro
posiris retractionum legibus. Or demirari subeat nuperrimum Opticx
Harotabu
sexiptorem, virum alioqui diffuse doctum, hujusmodi rariocinio leges
iltas impugnasse: c In majoribus tamen angulis inclinarionis (iptis
 Tima sunc ejus verba) Fallum esse constar (principium nempe no-
 Rrum;) in his enim angulus retractionis major est subrriplo an-
ic culi inclinationis; quod miti aliisque ex luculentis experimentis
compertum est. HIXC, inquam, ille ravsoexei. Quali vero dixisset;
numeri 6 d 4 simul accepri non conticiunt 10, quia numerum effici
unt majorem quam 8. plane similis est discursus; non orum oro 
milius. Nam in retractionibus ex. gr. ad ritrum Factis si ponatur ad
quamris inclinationem (puta graduum 15.) quod lic angulus retra-
etionis suberiplus anguli inclinationis (quem ille vocat, incidentia nos
ansulum appellare solemus) necessario, sicuti modo demonstratum
est, eprincipio nostro consequetur, quod ad aliam quamcunque ma-
jerem inclinationem retractionis angulus major exie suberiplo anguli
inclinationis; nominatim accepta graduum 30 inclinatione juxra di-
ctum principium insticutus calculus ansulum prabebit retractum
29. 24; ansulumque proinde refractionis 10. 36, qui 30 gradtuum
INIENLEM ExUPExAT. Quare cum Colaristimus vir Fypochelin hane la
Carresio