How is an astrolabe a tool for measuring inclines? It can replicate the positions of the stars to give some information, but you couldn't use it to measure the angle of a hill's slope, as far as I know.
Geometry was 'revolutionized' by Euclid...it was already present in Indus Valley, Babylonia...there are many Vedic manuscripts about this and both Egyptians and Babylonians used forms of geometry...so it would be wrong to say that Greeks 'invented' geometry...
Euclid made it an actual science and documented its basic principles and axioms. What you suggest is like saying that Arabs didn't invent algebra because other peoples would count and perform addition or subtraction.
Hey QM, you‘ve made a mistake in this one. You wrote semicircular performance venue, which is clearly an indication of (and only of!) a theatre. An amphitheatre (Latin: amphi- meaning "to both sides") was something different - the Colosseum was an amphitheatre because it was extended to both sides (i.e. round). Why are the Amphibians called Amphibians? They can live in both kinds (land and water).
Source: I studied Latin for three years, but nevertheless, here‘s a proof
I thought the primary significance of the crossbow was not that it was more powerful than a traditional bow but rather that it was significantly easier to learn to use. From Wikipedia:
"The traditional bow and arrow had long been a specialized weapon that required considerable user training, physical strength and expertise to operate with any degree of practical efficiency. . . . In contrast, the crossbow was the first projectile weapon to be simple, cheap and physically undemanding enough to be operated by large numbers of conscript soldiers, thus enabling virtually any nation to field a potent force of ranged crossbowmen with little expense beyond the cost of the weapons themselves."
Theatron - place of viewing
Therefore - Amphitheatre is 'a theatre on both sides'
An amphitheatre is a circular theatre NOT semicircular
Source: I studied Latin for three years, but nevertheless, here‘s a proof
"The traditional bow and arrow had long been a specialized weapon that required considerable user training, physical strength and expertise to operate with any degree of practical efficiency. . . . In contrast, the crossbow was the first projectile weapon to be simple, cheap and physically undemanding enough to be operated by large numbers of conscript soldiers, thus enabling virtually any nation to field a potent force of ranged crossbowmen with little expense beyond the cost of the weapons themselves."