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# Title: Lexicon Technicum: Or, An Universal English Dictionary Of Arts And Sciences (shelfmarks Leibn. Marg. 71; ZEN Leibn. Marg. 71)
# Folio - , page id 806933011:0858
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ceived, che1no
hrst Arioms oF Sphericte Trigonometry, wvill present
appeat, and also he Demonstrarion oF che 16
Cales ot Alstr. ansled Triangles, without any 0.
cher Fixureor Production ot dides, ad is ual.
V to
The Sines os sbe Hypochenuses are proporcional io che
sines es ihe Perpendicutars.
eF. L1. dC: 5.
A Z TOM H.
The Sines os che Bases are Proporrional 1o ihe Tans
sents of the Perpendieulars.
AP: AC: : a C: a 7.
C 2B aFC antt 3 ad at 8, antu 17.
For ihe tvo Rixtr aneled Trianeles F P D,
suppese DL (ininis esgure) a Righr-angled Tp
anse, aue U dides produced ro Ouadranis B H,
And Cor che Solution ol ihe Collomine cases, 
) be al0
itted in che Solid, accordins cois Leters; (as you
il find et v
ne in AIr. Tleyness Trigonom.)
Thenin che ruo Riphr-aneled Spherick Triangles
eBA, B an harins che lame Acurc ans e B, a1
BA Ab.
Suppole also, PF, P F, NC, and P C Oua-
drants. Then is H F equal ro B P, andche Com-
lemene oE B A equal ro A ML, equal tOB AD M
and F P equal 10 Angle FPB, cualro Ansle BPA,
and CD equal r0NM, equal 10Ansle B, and hC
Angles ac A, M, NV, E, and F, righE.
F
N. B. The Reason of producing the Sices o
he Frianele B A P eo Ouadrants, is, because by
chis means che Ansles may be luneu into Sides
lars Ce contra: Anc
chacche Parrs ol rhe lHanigu slren, do lomerime
and Tangents.
Trianetes.
andche Ferponenues hno Bales and Perpendicu
che Bale.
nes co pa(S
FalI in Co sine  cacsenes maleact oF Sines
Ilere Lollon che Proportions For Rishtoanelet
Ehe