Harriot, Thomas - Mss. 6782

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10955

[Commentary:

For the definition of binomes of the third kind, see Add MS f. .
On this page, Harriot shows that the cube of a binome of the third kind is again a binome of the third ]

De cubo binomij 3i
[Translation: On the cube of a third ]

binomij.
[Translation: a binome of the third ]

binomij.
[Translation: a binome of the first ]

Ergo cubus:

\sqrt{5408} + \sqrt{5400}

. binomij. differentiaquadrati:
8.
[Translation: Therefore the cube

\sqrt{5408} + \sqrt{5400}

is a binome of the third kind; the difference of the squares
is 8, a

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81	41
82	41v
83	42
84	42v
85	43
86	43v
87	44
88	44v
89	45
90	45v
91	46
92	46v
93	47
94	47v
95	48
96	48v
97	49
98	49v
99	50
100	50v
101	51
102	51v
103	52
104	52v
105	53
106	53v
107	54
108	54v
109	55
110	55v

Scan	Original
81	41
82	41v
83	42
84	42v
85	43
86	43v
87	44
88	44v
89	45
90	45v
91	46
92	46v
93	47
94	47v
95	48
96	48v
97	49
98	49v
99	50
100	50v
101	51
102	51v
103	52
104	52v
105	53
106	53v
107	54
108	54v
109	55
110	55v

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Scan	Original
81	41
82	41v
83	42
84	42v
85	43
86	43v
87	44
88	44v
89	45
90	45v
91	46
92	46v
93	47
94	47v
95	48
96	48v
97	49
98	49v
99	50
100	50v
101	51
102	51v
103	52
104	52v
105	53
106	53v
107	54
108	54v
109	55
110	55v