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# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 2b
# Folio 178v, page id 00068198:0356
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Breviqus: constructio Frigonometrica, ex datis lateribus angule
et ex datis angulis latera et uno latere, reliqua in venire. patet
(id est duplo sinu).
rem omnem eo redire, ut ex datis chorda et radio circuli quaeratur
duplus)
arcus vel contra ex dato aru velno et radio quaeratur chorda
Assumta recta qualibet  pentroque in cylindio sumto in charta cylindro
circumplicata, describatur peripheria: q postea charta explicata
dabit curvam
durabilitatis BCPDEF. Haec charta servetur ad usum, dt majoris
commoditatis causa, si placet sr ligno vel metallo agglutinetur, aut
curva inde branssumta in ligno vel metallo insculpatur
sit jam choeda cujus quaritur arcus, ex ratio dato. Cum datus sit radius data
erit quoque peripheria circuli ejus. quae esto recta AF. Nimirum semel
Certum radcum certaque tertamque peripheriam assumemus, ut et in Tabula
sinuum fit. Circa diam etrum AB, descriptus sit circulus
hnic ex ce=
puncto B applicetur BE. chorda data arcus quaesiti et ducta By A9 
transferatur in AN et dcta NC ex N erecta
perpendiculari NC quod curvae occurrat in C, erit
arcus chordae datae B0 quaesitus
ontra sit arus datus AH, cognitae scilicet
proportionis ad arcum AP. circumferentiam
radii dati dueatur ex H erigsitur perpendicularis
HC ipsi curvae occurrens in C eaque translata
2
in Ag. erit B9 Morda quaesita arcus dati AH.=
d
Haec methodus ad triangulum aliquod ? e
datum resolvendum ita applicabitur
sit triangulum RST data sint latera
 ∞
se-
ejus quaeruntur anguli, exs, si placet demittatur perpendicularis si
erunt duo triangula rectanguta SVR et sVT. Radio sR RS. simi SY
vel daplo ejue Morda SX, quaeritur ars angulus vel arcus sY, vel duplus
via
ejus arcus SYX. penatia SR radius, ejus circumferentia erit nota
sit sigma triangulum angulus aequicrujus XβY, ita ut aβ, vel aY sit
binc applicetur dE
inventae VC ad A
filhC
is in aperiatur ut B) frat radius RS
anilleta 3) eritus ad chorda applicanda ad A9
apparebit haec ratio si tota Ast in cerlun amnenu n 360 quadus seu partes aequa
pars quaelibet ruiju in minula, et minulum, si lubet in secunda divispmsit eodem
modo operabemunt in Triangulo) 50 F, tantum pro sR. substituendo 5T. sed si dato uno latere, ut 5R in
triangult R5 Y quannangali et angulis quaerantur latera, sic procedermus, ob datum radium SA seu (3V. id est
ductam ipsius
aB, a qualem AH) invenitur P2
sinus quaesiti
quae applicala in AB  AE, dabit BE lBE
e
e
det
2
e
2
2
ue
en
n
5d
e
e
ejus loco aes et que arcgme