Content of type 'commentary'

Commentary on Proposition XII.4

But that, as the triangle LOC is to the triangle RVF, so is the prism in which the triangle LOC is the base and PMN its opposite to the prism in which the triangle RVF is the base and STU its opposite, we must prove as follows.
A B D C E

Commentary on Proposition VI.16

AD meeting BC (produced if necessary) in D and AE meeting the circle again in E, such that the angles DAB, EAC are equal, then the rectangle AD, AE is equal to the rectangle BA, AC.

Commentary on Proposition XI.24

If a solid be contained by six planes parallel two and two, the opposite faces respectively are equal and similar parallelograms.
A D E C B

Commentary on Proposition X.41

And that the aforesaid irrational straight lines are divided only in one way into the straight lines of which they are the sum and which produce the types in question, we will now prove after premising the following lemma.

Commentary on Proposition X.72

The binomial straight line and the irrational straight lines after it are neither the same with the medial nor with one another.

Commentary on Proposition X.111

The apotome and the irrational straight lines following it are neither the same with the medial straight line nor with one another.