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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 127, page id 797435492:0369
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P E C T. XII.
rallela, sic rectangulum ex PM, PZ aequale quadrato ex C L (vel
PL
CLC
PND. SILCM ANC. L Z =
sPat. DKL. P
CL
Cvel sector
L. C X subduplus spatii D R Z P) _ in C Z CapiAEE C p = PM.
erie linea C e p iptus BM A involura; vel sparium. C. p C sparii
DB.
Fxemp. Sic A D B circuli quadrans; erit ergo (quod epraemonstra-
eis Con(taL) Spat. D R Z P (2 seCtOFL CX). sect. BDM
:: C L9. DBg. unde arc. L. X. AEC. BM :: CL. DB.
quare ars. L CX = ang. B D MI == ang. DM P. unde ang.
CHC ele rectus, adcoque linea 6 p C. est semicironbus.
Coroll. 2. Subnorari potest, (i dua FguEX AD B, A D C analogx Fu-
: DB. DB; erit reCiprOCE anS. 6C H. 6 C B:: DC.
DB.
2. Illud etiam converse valet.
3. Sin CUEVX Crq C S6 suo modo analoex fuerint, hoc est,
liutcunque a C projectâ recta C v S, habeant C v, CS Can- F18. 194
dem perpetuo rationem, erunt hae similium linearum invo-
lt a.
Probl. Z.
Data figura quapiam CC D rectis C6, CD, et alia linea68 fi5. 195
comprehensa, ei comperentem evolutam delignare.
Centro C utcunque de scribatur circularis arcus L. F (cum rectis C6,
Coconstiruens sectOrem L C F) cum ductâ C R ad L C perpendicu-
lari, (ic curra 6 P EI ita rectam C R respiciens, ut libere projecta recta F18. 196.
C Z, CumptaqueCO = arC I Z ductaque OY ad CR perpen-
diculari, sICOY ==Cp; porro ad rectam D A lic referatur curra
BM F, UE CuM SITDP- (DAt. C67O
L
;  PM ad DA perpendi-
cularis; (IE CtTaM PM =Cu; erit SpaTIMI DBFA ip(InS CC 8 evolutum.
LotbtP. D LL L aeelo El Cbladletellus t Csoaa L1E. 1970.
spiralio