In the past days I've been wondering about math books of the antique, e.g. the well-known Euclid's Elements. I looked at a few pages of the original Euclid's Elements, but of course was not able to understand anything due to the Greek language. However, some basic questions came in my mind:
How would Euclid's Elements (or antique math books in general) compare to modern high school / university books?
To specify what I mean by compare, let me give you some criteria:
The information density. I have seen that the pages are 'filled with letters', but I can hardly image that Euclid's Elements includes more information than a common high school book. Is that assumption wrong? Have the Greek mathematician used many examples? Or did they 'blather' a lot?
The size. If we would reduce the writing to a modern 10pt font size and use the modern page formats, how many pages would Euclid's Elements have? Would it be more like a pocketbook or like a huge 1000 page university coursebook?
Up-to-dateness. Would a good high school student know most of the information of Euclid's Elements or at least a average university student? Would we call the information given in Euclid's Elements basic knowledge today? And/Or could a university math student derive most of the results by himself (since for university students it is very easy to derive e.g. high school theorems)?