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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 81, page id 797435492:0305
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L B C 2.
22.
rectam A l Iclate al L; ut ipsuS jam rectae P P quamcitatem exqui- fie. 175.
ram; currx arcum M N indetinice parrum samo; tum duco rectas
H.  ad M P, C N R ad AP parallelas; nOinOMP =- m; PL
 F;MR = a; HIR = 6; reliquasque rectas, ex speciali curra
nacura determinatas, utiles propolito, nominibus deligno; iplas au-
teM M R, N R (_ mediantibus illis ipsaS MP, PY) per aequationem
e Calculo deprehensam inter se comparo; regulas interim has obser-
raNS. L. Inter compurandum omnes abjicio terminos, in quibus
iplarum a, vel e porectas habetur, vel in quibus ipsae ducuntur in se
(exenim isti cermini nihil ralebune).
2. Post aqnationem constitutam, omnes abjicio terminos, liceris
constantes quantitares nocas, seu determinatas designantibus; aut in
quibus non habentur a, velc. (erenim illi cermini semper, ad unam
xquarionis parrem adducti, nihilum adxquabunt).
3. Proa iplam m; (velM P) proc iplamt (vel P Z) Tubstituo.
Flinc demum iplius PT quantitas dignoscetur.
Duod si calculum insrediatur currae cujuspiam indetinica parricula;
substituatur ejus loco tansenris particula rice sumpta; vel ei quaeris
(ob indetinitam currae parritatem) xquipollens recta.
FIxc autem e subnexis Exemplis clarius elucescent.
Exemp.
Ansulus A B HIrectuS SiC; _ Sit curra A MO calis, ut per A du.
ata urcunque recti A R, qua rectam BH secet in R, curram AMO Fis. 116.
int M, Sic Tempex subrensa A M aequalis abscissae BR; hujus currx ad
M tangens est desionanda.
Fiane quae supra praeseripca sunt, _ (ducta A NL) nomineeur
AB = r; _C AP = 9; unde A = g -- e; item N = m -
A. ex so estgq -+ Cc - 2 9c.  m m) - a a = 2 m a = (A9
L. 2Ng= ANg=) BL9; hoc est (rejectis, uri monitum est
rejiciendis) g9 - 2gc  mm = 2 m a = BL g. POrrO CA
A. OH:: AB. BL; HOE est g - e. m - a :: r. BL =
Y m- ra
e
(rejectis superAuis
pam M  rFAa. 2YY m a
49 ee = 2960
mm 2 rrma
44- 296
= BL9 = g
= BL. 9; SCu
mi 2ma. velrrmm. 2rrm a - g- 29e) g9mn- 2992a - 2g e. 
4990C- 2 gm m e. F 44m ac; hoc est (abjectis iis, qua prae serip(uo
abjici-