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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 3 (shelfmark LH 13, 3)
# Folio 213v, page id 00068200:0428
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et erit
et G
G5
AR, LT+ GRNY
SLA AR, NY -GR, LF
Est autem AR 
 et GRH B. Egt
 Porro ex puncto M in LN dimittatur perpendicularisM
occurrens ipt
MdB. secansCLG in d et LN in D. erit G5: SL: : 5B: BL. et quia ang. 8LD est
dimidius anguli ML N erit _ dD: DL: ND: DM, et fier:
NB.
De
C3LTF bNT et quia NYH PA potito
NB CLTb3Ap
C3N7 - b3LF positis A et Ddcvinadentibus erit De  C2AP- bLY
it
Ano jam video etiam Pcoiicidere ipsis V. A. d. adeoque NXA Appo.  La
et fier NB, -C seu erit: NB: Dm.: 5B: DL:: AR G  C: b3: AR. AG AE. E. BC. EC
O A 1
positis BE sectos et EC sectoris ABC sinubus illo, BE recto, hoc CE verso.
Ergo NB: BM:: BE: CE. Vel duorum sectorum ABC. LMN
Sinus recti et versi erunt inter se reciproce proportionales. id est
simuis rectus iius ad sinum versum alterius, ut sinus versus alterius ad sinum
rectum hujus. Tantum quia suspectu nihi signum- fuit enim
NB
E C videndum ne quis error calculo irrepserit. sed
video nullum inde malum esse, et tantum debere poni
snon inter L et V, sed trans VA versus N. ita ut fiat L L5-5V.
ita enim fiet SLH DV, LN + SY. vel quia DVBDABC B NT. fer
fiet SL LN+s. Unde jam video in alio esse peccatum
minorum SL fuit DA LN - GR, LY, NY + AR, NY. posueram d Ao.
N T LN.
sed jam indeo id fieri non posse, fit enim tunc etiam NT ed unde
fiet SL. LN=GR, LT+ AR, NT, et quia NZ AR NT infinite parva
LN
respectu caterarum, fieret SLB LN = GR, LFT quod est contra
Scopum. volebamus enim potius LN, seu terminum in quo nec GR, nec AR.
pollere
itaque resumamus has duas aequationes:
GR, NT + AR, LT. cujusaeqrationis ope habetur anguli quantitas ex 
ZN
in angule valore in
nescunt
SL ADE,LN GR LT, NTF AR N7Y cujus aequationis ope habetur co peran
NT, LN
gutum et functiones
G5 NA B) GR, NT +AR, LF. N7
cujus aequationis ope iterum habeta
per sunctiones sine angulo
SL  (BM DA, LN= GR, LE NT+ AR. N 7
lurgendo duos valores ipsius co. habetur functio anguli seu sinus rectus
vel versus uter libet, quemuo cujus valorem inserendo in prima
aequatione, habetur ipsius anguli valor et quidem pujus
et absolutus, nec in aream sectoris, aut propriam functionem
reflexus. Mment ad huc duae arbitrariae, ut id. DLY
Namposito A et H cointidere nuN numero n tenratione addatum CAB
compendii causa scribamus pro angult . pro sunctiore f, caeteras
et lom autem quantitates, quia non turbant literis complectamur.
a at da s) GS  an
 et loco, aequo fiet.
et quia G5 est momentum sectoris ma iaqu
N.
Hio divisum per
ejus aream hoc momentum sit darea autem sectoris cmN
est ad co aream sectoris ABC in composita ratione ex rationibus
radiorum et angulorum, seu LM, IEN,n posito n esse proj
A
co ABCH
posito n esse rationem enguli MLN ad ungulum CAB.. Ergo LMNB
et G5 seu d erit H
LMN
d3AC
.Ergo lAC
EN nC peraequsue Lplo
et loco aequ. 1. erit d’y b’NT+ C317
ac
bNZFCEF
CO2LN
NRco
AC