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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 806933011:0765
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produce ic rillir curs che Bramerer prolonsed in II
thac Incersection FI is a third Point, chro Wrhich as
also etis a and b, it a Circle be drawn, ic will be
a Dreat Circle, 25 e a b g.
Wrhich is casiy proved, by drawine che Line
CC5; For char Line is a Diamerer: Becaule its
Pares mulriplicd into one anorher, are equal 10
ac - cH =OC9, bY 35. e 3, and Cor. 8 e 6.
Euclido
Problem 6. T0 dram a great Cirele Perpendicula
10, or at Rishe Ansles vith anorher.
Lec ir pals chro irS Poles, andris donc.
OE wtrich chere will be Four Cales.
2. Fodran a Circle Perpendiculax ro the Pri
mirire; wtrich is done by any Arair Line pastinS
chro che Centre.
2. F0 dran a Circle Perpendicular 10 2 RigHE
Circle; is only 10 draw a Diamerer ac Righc An.
Eles Wich thac RighE Circle.
Problem 7. Tomeasure the Ouantity of the vecreos
3. Fo drarr an Oblique Cirele Perpendiculax 10
a Righe one; only dra a Circle which MaIl pa(S
thro boch che Poles ot such a Righe Circle, and
tis donc.
Thus the Oblique Circle D Z R, is Perpendieu.
lar ro the Righe one O9, becaule it passes chro
its Poles D and R. Sec the last Figure.
4. Fodea one Oblique Cirele Perpendiculat
EO anorher.
of any Archof a creat Circle.
c. IF che Arch De Parr ofche Primicire, eis mea-
Cured on the Line ot Cords.
2. IE che Arch BC any ParE OF a RighE Circle,
the Degrees ot ic are meatured on the Scale of hals
Tancents, Supposins the Centre ot che Primitive
Cirele to be in ihe beginins ot che Scale, (O chat is
ehe Degrees are ro be reckoned trom the Center,
ron must acconne accordins t0 he order oE the
Scale of hals Tansents.
Bur il the Degreesare to be accounced from the
Pcripheer of che Primitire, as will otten happen,
chen vou must besin co accoune trom the end et
che Seale of hals Tansents callirs 80, 10, 30,
20, 580.
duce the emo extremities os the Ark required tothe Pri-
mitive Circle, and then meature he distance be
ereen chose Poines on the Chords.
Thus in che last Figure, is che Onantity oFe B
an Arch oFthe Oblique Circle C c B vere requir-
ed; lay a Ruler 1o Pthe Pole, and reduce che
Poinese and B, eo etic Primitire Circle, (0 MaII
the Distance berveen o and B, mealured on the
Choids, be che Ouanriry oE Deprees in che ArK
Then erect OH, Perpendiculartys 10 a O, anid
PROP. XVII.
eROF. AVIII
3. F0 meatute any Part oF an Oblique Circte;
Rrst And ies Pole, and chere laving ihe Ruler. Re-
P R O P. XIX.
Problem 8. T0 measure ans SPHCHCat AHIC.
L TFthe Anoular POINE BC AETHE CeHErC OE che
Primitire, chen che Biltance berween the Lcgs
caren trom che lumb, and meatured on rhe ChOrds,
is che Ouanriry oF che Angle.
Find hirst P che Pole oF the given Oblique
cle Ce B, and then dean any hon che Diametet
D a. (0 a Circle drawn chro the chree Points:
D L anet IL MaI Be the Circle required; FOr Pa
it must be Perpendiculdr 10 it.
Nm chro chePoles oFche Oblique Cirele CeB,
he Pmre Ccl do luppolethe Ansle AC B
2. I ihe Angular Poine Be at the Periphery oF
vere required
FTereche Poles oEboch Circles beine in chelame
Diameter. And che Pole ot the Oblique Circle
CBO, whick tet be P. Yhen che Distance R P
mealureet