Gravesande, Willem Jacob 's, An essay on perspective

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[191.] CHAP. IX.
[192.] Prob. I. 122. To draw Vertical Dials.
[193.] Demonstration.
[194.] Remark.
[195.] Prob. II. 123. To draw inclining Dials.
[196.] The Uſe of the Camera Obscura in Deſigning. Advertisement.
[197.] The Uſe of the Camera Obscura in Deſigning. Definition.
[198.] Theorem I.
[199.] Theorem II.
[200.] The Deſcription of the Firſt Machine.
[201.] Remarks.
[202.] Uſe of the Machine. Problem I.
[203.] Demonstration. Concerning the before-mention’d Inclination of the Mirrours.
[204.] Prob. II.
[205.] Prop. III.
[206.] Problem IV.
[207.] As the Machine’s Height above the Table, leſs the Glaſs’s focal Length, is to
[208.] The Height of the Machine above the Table; So is The Glaſſes focal Length, to the Diſtance of the Figure from the Glaſs.
[209.] 37 Remarks concerning the Repreſentation of Per-ſons Faces.
[210.] A Deſcription of the Second Machine.
[211.] The Uſe of this Machine.
[212.] A Demonſtration of the Inclination of the Looking-Glaſs.
[213.] FINIS.
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20098An ESSAY fore the before-mention’d Perſpective will be an
Hour-Line of a Dial, drawn upon the Plane
H L M I, and whoſe Style is G F.
The ſame may be demonſtrated of the Re-
preſentations of other Hour-Lines, which form
a Dial upon the Plane H L M I.
We now proceed to lay down the beſt way of
determining the ſaid Repreſentations.
Prob. I.
122. To draw Vertical Dials.
Draw the Line E O, thro’ E, the Foot of the
11Fig. 66. Style of the Horizontal Dial A B F D, equal
to the Length of the Style of the Dial to be
drawn, and making an Angle with the Meri-
dian C.
XII, equal to the Plane’s Declina-
tion.
This Angle muſt be aſſum’d towards the
Point D, when the Plane’s Declination is South-
Eaſt, as here;
towards F, when the Declination
is Weſtward;
towards A, when it is North-Eaſt-
wardly;
and towards B, when it is North Weſt-
wardly.
Now, thro’ the Extremity O of the ſaid Line,
draw the Line I H, perpendicular thereto;
and
the Line C P, thro’ the Center of the Dial, pa-
rallel, and equal to E O;
thro’ whoſe Extre-
mity, P, draw the Line P S, parallel to H I.
Then, to make the Dial, draw the Line h i,
22Fig. 67. in which prick down the Diviſions of the
Line H I;
and in the Point o, (which is the
ſame as O) raiſe the Perpendicular o p, equal to
the Length of the Style of the Horizontal Dial
A B D F.
This being done; draw a Parallel,
h i, thro’ the Extremity of this Perpendicular;
on which, prick down the Diviſions of the

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