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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 806933011:0060
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Ler A B be 2 Church, Stceple, _c. Whose) cake the Angle FTO MI 60 degrees; a5 allo, the
Heiphe is required; Vour Scarion beins aE D, BC-
eeen Which ard che Balis of the Stceple there is
a River, 10 char ic is inaccessible, thac is, you
cannoc come ro. rhe LOOr ac B.
FirA, LEOM D WLH VOur ONadranE, (Or ch.
litce TnArUmenE) take che Angle of Altitude ADB.
Which suppole 52 des. 30 min.
2. Remore Tout MMICLMent tO another Station,
a5 to C; Were rake allo che Ansle of Alcirude
AC B, 27 dez. 30 min.
3. Mealure IHC Manee Derweeo. the EWOSta
HonS, DC, Wtich let bC 92. 7 FOOr.
Ansle XOM 39 des. 54 min.
Thiraiy, Meature cheDistance OP== 1 32 Fect.
NTow, in che Trianole FTOF, You have giren
the Anele HLO 10 dez. ihc Ansle (O L. 120 desi
and ehe Distance LO F32 LOOE.
Thenby Case 3. OF Oblique Angled Triangles,
AS, S, CHO: OL:: 5, HL O: E1C
20 : 132: : 5, 40 : 218.
Then by Case 1. Ol Risbt Ancled Trianeles, (M
is Found 10 De 2I4 FOOF.
Now, in the Frianole FMO, pou have siveri
the Angle FO M 60 degrees, 2nd FO 248, 01
Now, the crvo vilual Lines DA, CA, rogether the Perpendicular, E MI, 2I4 FOOF, requireu, the
wich che Distance OC do makre the Oblique Anzled Base MO; twill be, a5 Rad: FO: : S, FO M:
Triangle ADC, Wherein chere is siven, the An.
Ble AC. B. 270. 30. and by che Anele A. DB
52 de5. 30 min. You hareche Ansle ADC 127 de
30 min. ies Complement r0 180, and consequene
ly vou have che Anele C AD 25 degrees; and al.
Coche Side DC 92,7 Fecr.
So. That haring che chree Angles and one id
eiven, che Side AD may be found by Case 3d. c
Oblique Angled Friangles; For che Analocy is.
1555.
AC: DC.: 8, ACD: AD
25,00: 92. 7:: 8, 21. 30: 102. 3
By Wvhich means vou sai D che Hypoche
huse of che Righr angled Friangle AD B; chen
in the. Right angled Triansle AB D, rhere beins
siven AB, ehe Hypochenule, 101, 3, and che
Dendicular
MO124 FOOE.
AlSo in the Friangle KMO, there is sivem
N1O, +24, and che Angle KO MI 39 dez. 54 mino
required XCMI; Whieh by Axiom 2d. Plain Pri-
angles is Found 10 bC 108, 7. FoOr, Wwhich beins
subducted Erom FTML 214 leare 1053 FoOc For
the Leiohe oF rhe TOVeE.
ALTITODE, in astronomy, is oE che Sun, Stars,
OF any Planer Or Point OE the LleavenS, an ArCH
ot an Azimuth Circle, contained berween che Ho-
rizon and any Parallet oE altirude, or betveen
the Scar, Planet or astigned Point in the Lcavens,
and the FToriZOn.
Fo find the Suns Alticude ac any time by rhC
Globe; Rectisie your Clobe and Ac rtie Duadrant os
Altitude; ehen turn che Globe abour till the LTour
Index Men che rime ol che Day, and Aay ic
chere; after ehich bring che Ouadrant FO CuUF che
Sun sPlace in che Fetiprick, and chen chac PlaCE
ThaII chew the altirude on che duadrant.
To Find che Suris Alrirude and LTour of the Day.
when he is due East or West, and aboreour Ll0.
rizon, by checlobe.
Flavins Rectisied the Globe, and sicted che
Ouadrane, bring ic ro cur che True Past Point
and then rurn che Clobe rill the Surs Place in the
Eeliprick cur the graduared Edpe ot etae Oua-
dranc, for chen char place will mew the Atitudo,
and che Index, che FTour
Lo sind che Suns Alticude on any Azimth,
by the Clobe
Sec ihe Onadrane eo the Azimuth diven, and
then rurn the Globe eill his place in the F
cliprick touch che Graduared Rdge oF che. Oua-
dranc, (0 MaII char place sive the Alcirude on the
Ouadrane.
By Triconometricat Calculation.
1. Totind che Suns Altitude, wtien ic is due
East Oe WV est
Hlarins che Lacitude ot the Place, and che
Suns Oeclination Biren.
Say. As the sine of the Laritude is to rbe Ra
dius, so is the sine os ihe Sun s Declination, 10 ibe
Sion of the Suns Aliitude required.
Example, Suppose the Latirude be 51, 30
And the Suns Declinarior
Then torhe AC. Co. DEthe Sine oF 5F, 30,0, 106455
add che sine ot
Summ is che Sine oE
21 31 9, 300275
14, 49, 9, 406730
Nhich is che suns atirude chac Day utien due
Ansle ADB 52. 30 ris calie co Aind the Per.
By Case 6. OFRishe. aneled Clain Friangles, Fe
the Proportion or Canon is,
Ad Rad.: AD:: 5, ADB: AB.
5, 90: 102, 3:: 5, 52.30: 80,5. LCC
3. Fo cake che altitude ot a Lomet, Stceple, dc
or che likre, wrtich Handech upon aFTill.
Tet FTK be a Tover Randing uxon a FTi
aril sou candins ac L, desire cornon cheHleishE F ast OP West.
Chereot abore the FTill
FIrA, TakC the Ansle ITI M 40 degrees; a5
al(O, The AEnSIC R L. MI, 22, deg. 3 MM.
deebaaly hemiore doue toie ie ette eo b, ndti
vado aud etol aoio ld ad ebe lcnine et be ta
rieuct
20 6 Ana EdC duns Abrtuae on ans loue i
the Equinoctial.