Harriot, Thomas - Mss. 6784

719360

Sit (

a

), Achilles.

t

,
[Translation: Let

a

be Achilles,

t

the tortoise.

Sit velocitas motus

a

, ad velocitatem motus

t

,
ut:

b

, ad

c

[Translation: Let the speed of motion of

a

to the speed of motion of

t

be as

b

c

Sit distantia inter (

a

) et (

t

d

[Translation: Let the distance between

a

and

t

d

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

a

), et (

t

)
versus

w

[Translation: And let the mtion of both be in the same line and 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 ]

Ponatur illud punctum esse

w

. et sit

t w

e

[Translation: Suppose this point is

w

, and let the distance

t w

e

.
Datur igitur

e

. Et inde

w

[Translation: Therefore

e

is found; and hence

w

In numeris sit

b

. 10.

c

. 2.

d

. 2.
[Translation: In numbers let

b = 10

c = 2

d = 2

miles

[Translation: Another ]

Aliter 2o.
Quæritur

a w

et sit

y

[Translation: A second way.
There is sought

a w

, and suppose it is

y

Exemplum de duabus [¿]numeribus[?]
[Translation: An example from two ]