6(sin 2+ cos u) †+(sin 2+ cos»²)+†

+(sin w cos u²)+† 6(sin v2+ cos v²). sive additione facta et adhibita formula sin+ cos u= 1: 4(sin*¶+ cos„ 2)= 4 ◻—=(XV).

=(XV).

§. 16. Transeamus denique ad terminum(XVI). Ordine paulo tantummodo mutato et additione peracta invenimus (Bo— BX+ Bw— B3) sin+(Bso— Bo+ BXw— Bzw) cos—(XVD..

Est igitur (Bo— Bw 4 Bw— Bs) sin v+†

—(XV V=V09d09

4 6+ 8(Bso— Bx+ Bw— Baw) cos w.(—+) 0(d)

§. 17

Hac aequatione quantitate sin v multiplicata prodit: 3(Bo— Bx+ Bw— BS) sin ν † 4 48 Sin⸗ 1 6,— Ba+ Md— Sg sin v cos 4—e. Eodem modo aequatione(C.) quantitate cos w multiplicata invenimus: Jſee er h. e ſene) cos v+ 1= 0 +(Bwo— Bso+ Baw— Bxw) sin vy cos v.)* et, si aequationes denuo inventas additione conjungimus inde colligitur: 4 6 sin+(Bo— B+ Bw— B5)(sin 2+ cos ²)+ †+(Bso— Bo+ Baw— Bsw+ Bxo— Bs+. B.w— Bxw) sin w cos v 1 3 id est 4 6 sin v+ Bo— B+ Bw— B— 0, unde sequitur 4 3 sSin 9— Bu ſ. B.— PBo— B„e„.(C.)

§. 18.

Porro si aequatio(D) multiplicatur quantitate cos v accipimus: (Bo— By+ Bw— Bs) sin v cos+† 0 †+(Bso— Bxo+ Bxw— Bsw) cos v2.5 Postremo aequatio(C) multiplicata quantitate sin v nobis dat (Bo— Bx+ Bw— Bs) sin v cos„+(Bxo— Bso+ Baw— Bxw) sin 2= 0. et hac aequatione a priore subtracta accipimus: (Bso— Bxo+ BW Bsw) cos v2— 4.— 90 4 cos-*(Bxo— Bso+ Bsw— B) sin 33 2 sive (Bso— Bxo+ Bxw— Bsw) cos u²+ 4 Eos 2 n(Bso BO Bw B8) sin v2, et computatione peracta atque adhibita formula sin uν+ cos 2= 1: 4 cos»+† B.o— Bxo k Baw— Baw= 0 unde prodit: 4 6 cos v= Bo 4+ Baw— Bao— Bw,.(D).

4 6 e t)

§. 19. Altitudines barometri medias singulis XVI ventis flantibus ex observationibus meis Wetzlariensibus an- norum MDCCCXXVIII usque ad MDCCCXXXIX tempore meridiei institutis, et ad 0° thermometri Reaumu- reani reductis derivatas tabula sequens exhibet, in qua columna, prima signum, secunda valorem medium