Harriot, Thomas - Mss. 6784

655328

[Commentary:

The references on this folio are to pages 148, 256, 258 of Commandino's edition of Mathematicae collectiones (Pappus . Page 148 contains Proposition 54.
Theorema LIIII. Propositio LIIII.
Circulo positione dato, & dato puncto in plano circuli intra circumferentiam ipsius, visui locum invenire, a quo circulus ellipsis videatur, centrum habens intra circumferentiam datum.
Given a circle in position, and a given point in the plane of the circle inside its circumference, to find the looking place from which the circle appears as an ellipse having its centre inside the given circumference.]

2.) pappus. pag. 148 et 256.

effectio igitur talis:
dividatur

b d

bisariam in

e

et centro

e

intervallo

e d

describatur periferia

b c d

sit perpendicularis

f c

ad
lineam

e d

:
connectantur puncta

e

c

.
& a linea

e c

, erigatur

c h

perpendicularis
quæ secabit

b d

productum in

h

[Translation: The construction is thus:
Divide

b d

in half at

e

.
With centre

e

and radius

e d

draw the circumference

b c d

.
Let

f c

be perpendicular to the line

e d

.
Connect the points

e

and

c

and from the line

e c

erect the perpendicular

c h

, which will cut

b d

extended at

h

effectio optime
sumatur quodvis punctum

p

, et ducatur

r f o

sit

b q = b p

ducatur

q o

& continuet
et secabit

b d

producta
in

h

; ita ut:

b f, f d : b h, h d

.
Vide pappum: pag:
[Translation: The best construction
Take any point

p

and draw

r f o

.
Let

b q = b p

.
Draw

q o

and continue it, and it will cut

b d

extended at

h

; so that

b f : f d = b h : h d

.
See Pappus, page ]

611 (306)	612 (306v)
613 (307)	614 (307v)
615 (308)	616 (308v)
617 (309)	618 (309v)
619 (310)	620 (310v)

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