Harriot, Thomas - Mss. 6784

717359

Sit

a

, Achilles.

t

,
[Translation: Let

a

be Achilles,

t

the tortoise.

Sit ratio motus

a

, ad motus

t

,
ut:

b

, ad

c

.
nempe: 10 ad
[Translation: Let the ratio of the motion of

a

to the motion of

t

be as

b

c

, namely, 1 to 10.

Et sit distantia

a

, et

t

d

. nempe 1 mille
[Translation: And let the distance between

a

and

t

d

, namely, one thousand pases.

Et sit motus utriusque in eadem linea et ad easdem partes, nempe
ab

a

, et

t

versus

w

[Translation: And suppose the motion of both is in the same line and in the same direction, namely, from

a

and

t

towards

w

Quæritur ex datis punctum ubi Achilles comprehendet
[Translation: From what is given there is sought the point where Achilles catches up with the ]

Quæestio solvitur exhibendo summam infinitæ progressionis decrescentis
ut sequitur: (species summa infinitæ progressionis decrescentis
ut in doctrinam de progressionisgeometricæ:
[Translation: The problem is solved by producing the sum of an infinite decreasing progression as follows: (the case of the sum of an infinite decreasing progression as in the teaching of geometric porgressions is:)

Alia
[Translation: Other ]

(ut Archimedes de
quad: parab: pr:
[Translation: (as Archimedes in the quadrature of the parabola, proposition ]

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

List of thumbnails

Text layer

Text normalization

Search