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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 43, page id 797435492:0255
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ut e  cut
XVII. Si a puncto quoxiam H in perpendiculori HI. M assumpto
ducantur ad curram reCEX HINI, HIO; harum proxior HNI, remori-
ore HO rectius incidet.
Nam ducantur F N, F. O currx perpendiculares, _ IHI, R O ad Fi8. 34.
iplam HM parallela. Fst isItuE anS. POR L anS. P. NI. Item
ans. OHMC ang. NTHM. hoc eA anS. ROHIE arg. INHI.
quare ans. FiOR. L ROHE ans FNI. ] INEI. hoc elt ang.
FOHL ang. F NII. Unde constat Propolicum.
XVIII. Elinc paret a perpendiculari progrediendo, (ab uno
nempe puncto LI) jucidentium obtignitatem crescere, donec ad illam
derenitur, qux curvam cansit, omnium obliguissima.
XIX. Porro si intrortum jam sumatur punctum II, _ ab co in. fis. 25.:
cidens HM (ic omnium currae incidenrium minima; exit H M curva
pervendicularis, sen tansenti M T.
Nam dic aliam M R cangenti perpendicularem esle. ergd TI R  Apol. V. 32.
AM. e masis HIO= HIM. quare AIM non eM minima contra
Hypothesim.
XX. Icem si recta FIM sic omnium ab HI currae incidentium maxima, xoll. V. 29.
eric HIM currX perpendicularis.
Nam Circulus C ENErO HI per M desCTiPEuS CXETA CUTVA EOTUS Ca- Fig. 36.
det. ergo (I recta M T Circulum tansat, haec magis extra curram
cadet, camqe proinde continset. Fst aurem ans. HI M T rectus. er-
Boliquet.
XXI. Hsinc SI M E sir minimae vel maximxe HI M perpendicularis; spoll. V. 30, 39,
haec curvam tansct.
Nam (i dicatur alia M X cansere; eric ideo ang. Z MH rectus, d
par angulo TMHI: G. F. A.
XXII. ExtinC Rrecta Y MI non (E curra perpendicularis; in ca
nulla Cumi potes maxima, vel minima.
Nam si surgi posset, esset ex eo ip(o YM currae perpendicularis
contra ypothesin.
ZXIII. SI EIM sic incidencium minima, _ intra IBTaHL scaCL Apot. V. 50
punctum quodpiam I; exir eriam L M minima.
Cume
AP. V. 31: 4Y.