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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 93, page id 797435492:0321
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l. P C T. ZI.
pares subtensiS KD, M D, NVD; _c. erir spatium X ke d aequale (Pa-
iiODR I.
Nam est R MI. KP: : R T. K D. hoc est R m. RP:: RI. K d.
unde km X l d = R P X K I. Similique pactO, M N. M R:: MS.
MD. Peu Mn. P Q:: PZ. m d. unde m n X m d =- P O X PL.
ac ita deinceps. unde constar Provolitum.
ZXVI. Sin porro, persistentibus reliquis, adtumptâ quavis recta.
5. completoque rectangulo X L s h, curra DZ I calis intellisatur,
uc lit MD. MS:: RG. PZ; erit rectangulum XB e h aequale spario L18. 130.
DRI.
NaI es PUFSIS R P. RM:: R D. K T:: R C. RI. adeogue R P X
RI = (RMX k8 =) Rm X k S. SimiliterquePOXPZ = m n X
25. ac ita semper. Unde constat.
FIinCNOTO SPALIO D R I COBNOLCCLIE QUAHEIEAS CUIRVED OK.
Hlujusmodi vero complura deprehendet quisquis hanc Mineram De-
nicius explorarie, ac exeussexit. Faciac cur id vacas d adlubes-
cit
XXVII. Uui Force nonnunquam erit (mihi subinde fuit) et hoc,
epramilsis deductum Theorema.
Sit curra quae piam V EHI (cujus axis VD, ba lis DHI) quam tansat uE-
cunque recta F I. _E duCATUE F A ad HTD parallela. cum alcera Ra.
TuatuX CuEVa CZ Z calis, ut a puncto F ducta recta FZ ad V D pa-
rallelâ (quae balin D EI in L, curram 6Z Z in Z secet) ad sumptaq:
quapiam determinatâ R, lic semper Id. A 9. Rg:: D. T. IZ; exie
D A. AC:: Rg. SPac. DIZ C. (vel Facto DA. R :: R. DP.
dustaque P Oad D HI parallela, exit Rectangulum D P O I par spa-
HiODOZ F).
Eriam hoc adjiciatur Theorema; nonnunquam usui Futurum.
ZZVIII. Sic curra gualibet AMI B (cujus axis AD). sic item li-
ReAKZL proprietate ralis, uE sumpto in AM B quocunque puncto F18. 1320.
M, _ ab eo ductis recta MP ad curram AB perpendiculari (quae
AXeT AD secet in P) e recta MC ad A D perpendiculari (quae
CUEYAI RZ L sCceE in Z) siIc constanter G,M. M P :: AFC. AM.
GZ; erit spatium A D R L. aequale semissi quadrati ex aECA AM.
TIaC inguam, e prxecedentibus haud magna o pera collisantur, id
vero lufficiac admonicum; erenim tic animus est paulo sublictere.
a2 2 4 du L.
L18, F310