721361
[Translation: Another ]
[Translation: ]
prima
[Translation: first ]
[Commentary:
The reference at the top of the page is to a lemma given by Federico Commandino to
of Euclid's Elements, in his Euclidis Elementorum XV
(Euclid 1572, . The original proposition is:
A first bimedial straightline is divided at one point only.
There are also references to (marked as 5,2. and 9,2.):
If a straight line is cut into equal and unequal segments, then the rectangle contained by the unequal segments of the whole together with the square on the straight line between the points of section equals the square on the half.
If a straight line is cut into equal and unequal segments, then the sum of the squares on the unequal segments of the whole is double the sum of the square on the half and the square on the straight line between the points of section. ]
A first bimedial straightline is divided at one point only.
There are also references to (marked as 5,2. and 9,2.):
If a straight line is cut into equal and unequal segments, then the rectangle contained by the unequal segments of the whole together with the square on the straight line between the points of section equals the square on the half.
If a straight line is cut into equal and unequal segments, then the sum of the squares on the unequal segments of the whole is double the sum of the square on the half and the square on the straight line between the points of section. ]
Comandinus
Lemma ad 43 p. 10. lib.
[Translation: Commandino, Lemma to Proposition 43, Book X of the ]
Lemma ad 43 p. 10. lib.
[Translation: Commandino, Lemma to Proposition 43, Book X of the ]
est
[Translation: is less ]
[Translation: ]
[Translation: ]
[Translation: is less ]
[Translation: ]
[Translation: ]
[Translation: Another ]
[Translation: ]
prima
[Translation: first ]
sed
maius est […] per prima demonstratio
[Translation: but is greater than by the first demonstration
ergo
minus est […] secunda conclusio
[Translation: therefore is less than second conclusion
maius est […] per prima demonstratio
[Translation: but is greater than by the first demonstration
ergo
minus est […] secunda conclusio
[Translation: therefore is less than second conclusion
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