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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
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Proportions for the dolvine thefirst Ten Cases of Oblique Spheric Frianeles.
Proportion.
BP. PD. B. D. 5, L~. 3, B:: S, BP: S, D. ambrSabus
DL. L. L. (= D. (S, D: S, BP: S, B:: S, PD. ambiguous.
BP. L L. D. BV. R : cs, B:: T, B P: T, BA, by Ca(c ach oF Righr angled Spheric
Friangles.
Then c s, BP: CS, BA:: CsD P: Cs, D A, By Rule 2d.
Then BA I D A = BD, accordins a5 che Perpendicular FalIS
wichin oe wichour che Friansles; whieh is doubrtul, untels che
Kind oF the Angle D is KnoWn.
R: Cs, BE:: TB: CF, B PA, DY Casc 3d.
And chen, T, DP: Y, BP: : cs, BP A: Cs, DPA, bY Rule Act
Then BP A -s = DP A: = P BD. FTerc al(O, che FallinS OF P A
is doubrtul, unlels vou knon che kind oF che AnelC D,
Cs, BP: R: : et, B: T, B P A, by Casc 3d,
Them, Cs, B: S, BP A: : c s, D: S, D P A, bY Rule 1,
Then ifB and D ate Salitce
untites BP A ] =- DPA = BPD
c5B: R: : CF, BP: CF, B A, by Case Ach.
Then Y, D: I, B:: S, BA: S, D A, by Rule 3d.
Ard ehen, it B anet D ace Quan
csu BP: R:: ct, B: T, BP A, by C asc 3d.
Thens, BP A: s, DP A:: c sy B: c s, D. by Rule L
HBPA = BPD, and B Sacure 
Lobrule 5, Diszdue
But is BP A LBPD, aud B sacure
robrule5, D is 
es, BP:R: : c+, B: T, BP A, by Casc 3d.
Then CS, DP A : C s, B PA:: F, BP. DP, by Rule Ac
Then, is DP Ai5 Slikero
untikes B, DP is L = ) chan a Ou
C s, B: R:: F, B P: T, B A, by Case Ath.
Then c s, BA : Cs, BP:: Cs, D A: cs, D P, By Rule 2d.
Then, isD Ais S like
Ouadrane.
unlite 5 (P A) = B, BD is L = 7 chan a
65, B : R: : l, BC : L, B A, DY Case Ach.
ThenS, D A: S, BA:: T, B: L, D, bY Rule 3C
Ehen it B A is Z
FBD, Dis
lik
Runtike5 B.
Siven.
RC.
F
Case
BF. PD. B.)
D. B. DP.
BP. BD. B.
D
L. E. NE ML A.