—

24dun olusur uind vaael onp

0aoddo olnsur

und el onp

—

unsus

S0

dn1 2182 9] uno IIusur oup

01

V

1 1 p

1 1

3.104 v un 0

————

—

ur

0agodde

— Formulae anslyticae reſolutioni triangulorum ſphaericorum obliquangu- lorum inſervientes ad radium= 1 conſtruckae,

Formula generalis continens Signum competens trianguli ſphaerici—— a ad ſſin. eoſ. ſtang ſcot —y====— ,a rer ſ. 5 caſ.. Ccria latera 4 B Gal°.‿᷑ coſ. a ſin Bſin. C— 8 90 4 (cum angulo) 15 I11 ——— 2— (tres angulos) coſ. a= eol. A ſin. b ſin. c a b c 4 4 3=— (cum latere) 1— cof. 5 col. c+ 90 4+ 180 ¼ V †1 vur 3— quatuor par-) A Ce cot. Afin. C= cot. a ſin. b 25 4 s contiguas) 9+ coſ. C coſ. 5 30 1+2 4¼ —— — 1 4— ruor par-)„ 1V. Cqua 4 1 5 20 4204 v(tes oppoſitas) 4 1270 135+ T A. 3 ——— 1. 1. 4 2 Quaeritur Aequatio deducta ex 2 — 2 8 coſ. A+ O),. 3 5 angulus coſ. a= 2

ſin. B fin. C ceſ. O

latus tertium

cot.%= tang. C coſ. 4

81 cof C fin.(8+) J. cof. 4———

ſin.

vel etiam ſin. ½ 4☛ν(ſin. B fin. Cſin. 2x+ ſin.*2B— C))

2

ang. oppof.„

lateri B

cot.%= tang. B coſ. a

tang. a coſ. Q —ͥ p—

tang. 5—— coſ(C+ 9)[III.

angulus 4.— compreh. tang. O= tang. 5 coſ. C ſin.(A. ρ%=cot. B tan. C ſin. latus 8 b 1 3— rertium cot.= coſ. b tang. C ſſin.(A‿ο coſ. B coſ. C ſin. † I. ſin. C ſin. 5 and ls e ſin c=yFę— IV. oppoſit. ſin. B Lof. ſin.(a+ 9) 1 C0l.——.— latis ſin. b ſin. e fin.* .. coſ. c coſ. C+) II. angulus coſ. A tang. c sof. 4=— 5 textius. G

vel etiam ſin. a= V(ſn. h ſin. c ſin.* 4. coſ ² b+ c)]

latus oppoſ, angulo 5b

latus intercept.

.= tang. b coſ. A tang. B=

tang. A fin. O

ſin(c+. 0)

.OH= tang. B coſ. a ſin(C--O.= tang. a cot. b ſin.

angulns tertius

cot.%= tang. B coſ. a

latus oppofitum

coſ. ⁵Æ ün. ſin.(— 0)—— cof. a II.

SnA ſin. a ſin. B tin.—— fin. 5 V.

Leipzig,

gedruckt bei Chriſtian Friedrich Solbrig.

1

—