Harriot, Thomas, Mss. 6788

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53r
[Commentary:
Mr Baker, mentioned in this and other pages on ship-building, was the shipwright Matthew Baker (1529/30–1613). For further details see: ‘Matthew Baker and the art of the shipwright’ in Johnston
E Marlow was Captain Edmund Marlow (d. 1615), described ten years after his death as 'an excellent man in the Art of Navigation, and all the Mathematicks'; Purchas 1625, i,
Note the rare appearance of a date on this page: 28 February, 1607 in the older Julian calendar or 1608 in the modern Gregorian calendar, though the latter was not adopted in England until 1752.
]
[a].) for the mastes of ships (mayne mast)
By experience: as the bredth
the
Data: Mastes
1o Quæritur: ab diameter hyperboles?
per, 21, p: lib. 1.
Appol.
hoc est:
dantur omnes præter ab, sit igitur a.
unde per æquationem
[Translation: 1. There is sought ab, the diameter of a hyperbola?
By Proposition I.21 of Apollonius,
that is:
There are given all besides ab, therefore let there be a,
whence by the equation are ]

(ab etiam dicitur
latus
[Translation: (ab is also said to be the latus transversum)
2o Quæritur ac, latus rectum. (figuræ ab, ac)
vel linea iuxta quam possunt ordinatim applicatæ.
per eandem
21, p: lib. 1.
Appol.
hoc est:
datur igitur ac, latus
[Translation: 2. There is sought ac, the latus rectum (ab, ac in the figure), or adjacent lines which can be applied ordinates.
By the same Proposition I.21 of Apollonius,
that is:
Therefore there is given ac, the latus rectum.

lineæ ed et gf &c.
dicuntur lineæ
ordinatim
[Translation: the lines ed and gf etc. are said to be the applied ordinates.
3o Quæritur aq, linea cuius quadratum æquatur
quartæ parti figuræ.
per 1,p: 2i lib.
Appol.
[…]
unde habetur aq. et inde ducuntur
oq, et or asymptoti (per centrum o)
Et inde hyperbole
[Translation: 3. There is sought aq, the line whose square equals a fourth prt of the figure.
By Proposition II.1 of Apollonius,

Whence is had aq, and hence there may be drawn oq and or, the asympototes, and hence the hyperbola is described.
To find the lengths of other mastes by numbers.
Let the bredth: (ga, or ea) be
taken in tenths of a foote & then
ab=52427, ac=1296
& so for any others.
Invented this: Feb: 28th 1607/1608.
& gave it to E. Marlow
for Mr Baker the

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