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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 132, page id 797435492:0374
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E C F. XII
Notetur anutem,
I. Ducta A D ad B FI perpendiculari, (I in haC CapIatUE A F =- 1 3
ducaturque F: F ad A HI parallela; hujus cum lineis expolicis interse-
etiones requationum proxolitarum radices exhibebune respectire; erit
utique FR, vel FL, vel FM, rel FN aequalis ipli as
HOC est ipsis AC, concipiendo a singula intersectione deduci ad A FI
Derpendiculares, quae puneta C determinet.
2. Duo punctum C magis a termino A remoretur (dc quidem potest
C A delumi quaris desisnata major) eo ordinatae CK, GL, GMI, ON
masis inerescunt; adeo ue quantacunque ponatur A F, Parallela F F
curris occurtura lit; ex proinde semper habetur vera radix iltarum
aequationum cuilibet conveniens; e ea tantum una, quoniam F F
curras iltas unico puncto intersecat.
3. Curva AL. L ect hyperbola aequilatera, cujus axis AB, reliquae
A MM, A NY N sunc hiperboliformes.
4. Si AO sIF Z AB; _E AP = 3 AB, ∞ AO = + AB, du-
canturque OT, PV, O X ad BS parallelae, erunt hae currarum AI. L
AMM, ANLI asymptotI.
5. Flinc constat in secundo gradu Fore a L n. - - ; intertIOAL
n. - -; In quaTEO aC n- -, quae tamen inxe qualirates, si A L.
benemagna (IC, exisUR erUNE.
6. A.quationibus istis nulla competit maxima, vel minima.
E18. 206.
B =
Hrp
Fir. 207.
Series secunda
b: p
aa ba = nn.
a iio- 
= ba  , _C.
Sit ruTSUS A B =b; Sc indetinite prorratatur A B versus 1, _
tihE anouli EE A l, SD , cun concipiantur curra BL L
BMM, B NNTtales, ut R utcunque ducatur C Z ad AI perpendicu-
laris (diet as lineas sccats, c cla Punetstu, Lo A lV, C) 
d23