Science Awakening

according Alexandria Anaxagoras angle Apollonius applied arbitrary Archimedes Archytas Aristarchus Aristotle arithmetic astronomy axis Babylonian base Book VII calculation century chords circle commensurable cone conic sections construction continued proportion cube curve cylinder definition determined diagonal diameter Diophantus Elements ellipse epicycle equal equations Eratosthenes Euclid Eudemus Eudoxus Eutocius figure follows formula fractions geometric algebra given lines given ratio Greek mathematics hence Hipparchus Hippocrates hyperbola incommensurable inscribed intersection lemma line segments lunule magnitudes mathematicians mean proportionals mediety Menaechmus method moon motion multiple Neugebauer numbers obtained Pappus parabola parabolic segment parallel parallelogram perpendicular plane Plato polygon problem Proclus proof proposition proved Ptolemy pyramid Pythagoras Pythagoreans Quellen und Studien rectangle right triangle rotation says semicircle sides similar solid geometry solution sphere square straight line subtracted tangent line Thales Theaetetus Theodorus Theorem theory of numbers trapezoid treatise VIII volume