Your second sentence denies the first sentence. The proof of the Inscribed angle theorem does not need Thale's Theorem, and it is stronger than Thale's Theorem.
The normal approach to prove Thale's theorem should be induced from the property of central angle being twice of an inscribed angle that subtends the same arc. Since a diameter has central angle of 180 degrees, its corresponding inscribed angle should be half of 180, that is 90 degrees.
I think the main key is the teacher. I followed the teacher in the class and the course was using CLRS, and I did not feel anything hard in homework and exams as long as I fully understood what was taught during the class time.
Yeah, China is taking advantage of US companies, state governments, to compete with USA. There are lots of company leaders and governors can benefit from secrete negotiations with China government. There is only one China, but there are tons of American businesses.
They did not exclude possible charge for major upgrade.
I am not relying on typora. I use it for WYSIWYG markdown editing with equations. Actually I like more the functionality to copy pasted image to a folder - that is the only feature I really like.
i am hoping, like onenote, a note taking system that i can use on computer and mobile devices and sync to each other, easily. This is very natural need.