Therefore—and this is the cream of the joke—therefore—really, I can't help laughing—therefore the angle CDA is equal to the angle GDA! That is, the part is equal to the whole—which is ridiculous.
I mean, it's too laughable.
So, you see, your rose-tree is not in the middle at all.
In the same way you can go on planting the old tree all over the bed—anywhere you like. In every case you'll get those right angles in the same ridiculous position—why, it makes me laugh now to think of it—and you'll be brought back to dear old CE.
And, of course, any point in CE except F would divide CE unequally, which I notice now is just what you've done yourself; so F is wrong too.
But you see the idea?
What a mess you've made of the bed!
Book I., Proposition 20.
Theorem.—Any two sides of a triangle are together greater than the third side.
