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# Title: Leibniz-Handschriften zur Mathematik LH 35, 15, 2
# Folio 8v, page id 00068204:0016
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dstorminatione sinus voroi de eodom arcu, siquidom haec idom sunt.
noqi obsorvaisso vidotur morom indum gonoralitur usurpundi litto
rus pro quantitatibus cum signis suis +et= affoclis dum dividit
22
23
24
liaric sdriom  + 2466  buc 65  2c 3bq + vc. nam cum crda–
Hyporbolica DE hic significata por2 sit affirmativa vol nogati:
va prout; acoat dema vel allora parte ordinatim applicatae
BC, si arda illa in numdris data sit l.  P. substituatur in sorid
ey
13
Y baabs  24a369 ∞c. vde -= + 2abs
6aab3 244369 c. prout e sit affirmativa vel nogativa. Hoc-
l3
est, posito a =1 = b et l Logarithmo Hyporbolico: numorus dia
et, -  +-
24
13,  29 c. si E sit nogativus. Hoc modo fugio
ea
multiplicationom Thooromatum quae alius in nimiiam molom.
crdscorent. nar v. g. illud unicum FLdoroma quod supra posii
pro quadratura Curvarum, rosolvondum essot in Triginta duo
Thooromata si pro signorum variotate multiplicardtur.
Praetorea quae habontur de invontiono numori unitat majoris
per datum Logarithmum Hyporbolicum opt sorioi
et
7X243 IX2Y3X4F. Polius quam opo soridi  + Y
eq
et
172
+
13 +
1X243
torminus adjiciatur amplino ad sdriom postoriorom quam ad
pnionom, postorior magis appropinquabit.. Et corto minor dot
Tabor computaro unum vel duas primas figuras adiocti hujus
Tormini, quam dividors imitatom por prodduntom Logarithmum
Hyporbolicum ad ulta figurarum loca extorsum, ut indd-
obtindatur cogarithmus Hyporbolicus quaesituo. Vtrage sorids.
igitur (si duus dicoro fas sit) officio suo fungatur. Potest ta:
Des
mon-- + 12X3 243F975 VC Sorido da dimidia part tormi:
X
norum constans: optimo adhibori, siquidom, hec dabit difforon
tiam duorum numororum, de qua et roctiongulo dato utorqe
P
datir. sit dt de sdrid, + 142F 1XX3X4VC datur sdmi summa
numororum indeque etiam numori. Undo prodit rolatio sorionum
intor 5d, qua ex vua data dabitur altora.
Thoeroma dinventions arcus ex dato cosinu. ponondoru:
diut, eosimum e. et circum V6 = V24C+, minus appro:
pinguat quam prima fronto vidstur. Posito quidem sinu
23
qu
vA
194)
verso v, drror drit
270 ad 120 = 17V ita chorda (V2V) ad crcum, et deror drit
tantum 6103V20
circitur, qui sompor minor est quam 5
948
minuta socunda: dum arcus non tit major quam 45gr. et singu
lis dtiam bisdctionibus diminuitur 128 vicibus.
az
a3
SOrids 1X2X3
a5
1X2X3X4X5
N2L3X4Y5X6XZ XC. applicari possst
ad computationom Tabulae sogmontorum, ut obsorvat vir clarissi
mus. sodros optimt absolvitur por canonom sinuum. Vipoto
cognita