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# Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2
# Folio 203v, page id 00068195:0406
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ita vienendum opinor ad tangente
Inveni alibi, _ Theorema sequens magni monenti ad
Analysin transcenidentem si sit arcus circularis AF ad
ad arcum circularem AD, ut 1 ad . (modo ambo sint
quadrante minores)  posito siu complenentica
C
et radio Y. fore sinum complenenti L ac arcus AF,
quem vocabus(quem
sium CGq vocabinus Caqualem  a + S -  + Via  an. 
Quod si continuetur ratio arcuum, et fialt
cum in besectione quim fruectione
ee polygoliorum retadem quaerans. Arcus AD. AF. AH. AM continue proportionales
erit et q
erit series hujus modi: CE aequ a
si = a + Y aa -  vocetur C, et La- S aa vocetur D.
fiet: CE aequ ( + g0
CG aequ ( 4 gcot
CL aequ (  9c=
CN aequ. 1c = + 94
CG aqu. Vatiq aa   Da - yna
 t
0
Ct aquo. Viat BEaa.  +  La - Y aa vr
ex  +........
. taque ratle nsqua arcus AD secatur et suffecatur existente co, numero jectionum factarum
existente C, ex. 9. pro arcu AM, 3, erit sivus complementi huicaraui Am, reones, 
arcui a, respondens C N aequ. ( ed 7 cd s et t ioH
eit
le
10
)Con cont seu vet
1ed
ed i
2G e
.1
ped er
tam
. d DEoge  OD ap. 1
 q2  
sunct e sublata n, item
et de
ce. 0 + 15 91 aqu 1e d  1+ O 
 Id e vyste b
scu 
vatio 1C aequ 1e+1
er iet is tollenda reclus 1fago 1C - 1C 15 aequ 2C - hre: H. a
 =R et 15 aegit   1( K 1cd = 2CH KI C): h = K seu 1S equ ECmhoC t si
2C = R1C i h = K et eidem mogo 15 aequ 2C F - t1c.:
k-
C = 16. D,: 1.0 - 1: D et yfaqu. 2C - 1C: 0, . 1: 9 - 1.
qu. 2C = 1c. ) _O = 1: co pco
vel etiam 1e aego , 3C - 15. D 
+rc  1. D :. 5 - 1. 0
qu  1C:0- 2
 3Caeg. 2C 3c = 1C D + 1cO 2C( v e 9-00
cedit autem divisio per 5= O: et. fit thaotema Mremotibile 3e. eqqu 2C. O D - 10
seu 1C aq. rrsc  9 + 9 20 + X. 3C quae est relatio generalis
inu complementi, quodu carcus 1C 1C, 2C, 3.C quorum
respondentes majon meco medius, minor sunt in ratione ac
continua ed ad 1
fbus quibus hibet
betur  quantihesi ex omnibus simt complementi eodem
tempe
+Dco
ub
G) exstente 
formata
oposita
1. 1
et Ot Dry
lobet si cos2 s tentem ac
BHI) pErr-inC
1st
an sum
peum
nogit cons
uthnetica
endrfferentias insente partas
iem oideamnan univerale aliqud abrchi