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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 806933011:0059
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ALTERNATION, is a Woa ued b) Idr. Wal.
lis and orhers For rhe disserent Changes or Altera
tions ot Sider in any Number ol laes provoled
OF Chis CtaC L. CdTHCC MachemaMam hach a pe.
culiar Dilcourse ac the end ot his Asebra. Thi
Alcernarion is eaEily Found, by only concinual NuI
ciplicarion of aIl che Numbers, beginninz aE V.
nicy. Tlus it ie ivere required loknom hou ma
ny Chanpes calt DC rung OI H= Bells, vou need
onty wrire aW L, 2, 3, 4, 3, 6, and then mul.
ciply all chole Numbers concinvally one into avo
cher, and the lalE Froavet Sres the Number ot
Changes, brhich is 720 ChanBes.
ALLLMELRZ, che Arc ot catins and mea
Turing oF Feighes, Wherhee Accessible Or Tnaccessi
ble. Sec altitudes Or Heirhts.
ALTIIOOE osthe Pole: SC Elovation of the
Pole
Add che LanS. OE The AnBlCS, 23. 5L. 9, 685290
TheSumm will. Be
The Remainder is the L05, OF 43 FCet, 1.. 85)
rtrich is ehe Perpendicular Lleishic oF che Lover.
N. B. Elere and in all luch Cales OF EhIS KIna
Allorvance must be made for che heighe ot
che Fye, or Inftrumene abore cheGround
Zou may allo, travins che Former Requilires;
viz. The Bale and Angles, casilr Aind che LIyporhe
nule FI, or ho tar ic is trom the Top oFche Low:
ex eo etie Scacion; by che 2d. Cale oE Rectanglé
Triansles, and chis ill be uletul in many Cales
On che Comiion Guadrane vou have à L. inc
called che duadrati wrtrich hach ervo sides dirided
each into 100 equal Parrs, and char oin the
ALTETODE OE MOTION, is a Term used Lest hand is called Risht Shadon, char on ché
by Dr. WVallis in his Mechanicks for etie Meature
ot any Motion ellimared accordins roche Line ot
Direction ot chemovins Force.
Righe. hand Contrary Thador.
ALTILODES OE FICixbES of Places perpendi.
cularty abore che Prorizon, are chus Found, Wwhc
cher Accessible Or Iaccessible; 1. e. Wtiether rhey
By which means eis very ealie rorate aris Ac-
cessible Alcicude ac one Scarion by che Guadrant;
FOr; it etie Anple S bc just 45, the Diltance 10
the Foor ot che Pover trom the Scation is alvays
equal to the Alrirude: Bur it etie Angle Be lese
are such whose Foor or Borcem you can hare ac. chan thac, che Scrins will Fall on Rishe Shactom in
cels ro, Or lueh a5 yOu cannOT cOme neaT.
rion.
the Ouadrat. Then (2y, a5 100 is co etie nuin-
ber ot Parrs ot che Righe Stradou cui by che
Strins:: l0 is ihe Distance to che Alcitude. 50
Let Y be a Tover Randins uxon a Level thar it the Siring cur 25, 750r 50, (96. thetleiehe
Ground, Whole seteme I sequired, your Scarion is accordingly 2, 3 or haltetie Distance.
Pover.
Buc erhen ehe Serins Falls roward che Righr.
hatc, and che Anole s De above 450. then lay
2S the Parrs cur by the Thread in che Guadeane
are r0 100:: P0 is che Distance roche Flciphr
Wheretore it the Thread cur 5o here elie Lleiphr
is double co theDistance; iF ic cur 25, ris 4 rimes
25 freac a5 the Distance, (56.
TocheLOENI OLB, 30F. 1, 354242
F1, 639532
c. 20 ratee an Accessible Atitulle aE One St a
beins ac S, 90 Fooc distane trom the Basis ol chic
f00
First, irh a Ouadrant, Theodolit
ocher graduaced Instrument for chac purpole
From vour Scarion S, cake che Angle of Alcitude
ASC, 23 des. 1min. Now, vou see chac che
Perpendicular Feiphe oF che Tover AC, thc
Bale CS, and rhe Visual Line S A, do constitate
a Riphe Angled Trianele, Wherein chere is siven
the Bale B 90 FOOr, the Anole ac C n RishE One
and the Angle or Altitude caten by Oblervation
250. S1. and theretore che AnSle S A C
Complemene 10 90 des. 64, 09. and rhe AIE
rude l’is required
Wherelore, by Case r. OE Rish Ansled Plain
Trianeles che Provorrion is
AS the Radius is cothe Bale, (0 is the Fan
Bent or che Anele ot Altirude ro cheHcishrM ch
Loer. ThacIs, R: B:: T, S: P
And ihe Oxetas Petlormed chus,
From Which. Substract chie Rad. 10, 000000
N. B. By applins whac is hiere said oF Di-
stances ro thie Stracto et ans Oscls, II
cakins cheir Heighe by che lensch os cheir
Stradows, willbe casily understood.
FTon CoLanC an accessiole A C EVC
Siations.