Harriot, Thomas, Mss. 6785

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199100
B. Quædam Notatu digna de tribus
[Translation: A certain useful note on three ]
Hinc facilior modus indagandi tertium lateris
trianguli rectanguli quam vulgaris: silicet
cum circa rectum, [???] datis.
[Translation: Here is an easier way of investigating the third side of a right-angled triangle, as is common, as around a right angle, [???] given.
Hinc etiam corollarium apud Vieta manifestis
[???] scilicet. Quantum differentia dimidia
inter ab et ac erit unitas, talium ab-1. vel ac+1
erit dimidium quadrati bc
[Translation: Here also is a corollary obvious in Viète. Namely. The quantity of half the difference between ab and ac will be a unit, so that ab-1 or ac+1 will be half the square of bc.
Si latus c sit ignota melius est operare secundi
formam in resolutio, quam in
[Translation: If the side c is unkonwn, it is better to operate the form in the solution, as in the equation.

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