-These treatises: The Equilibrium of Planes, Spiral Lines, The Measurement of the Circle, Sphere and Cylinder, On Floating Bodies, The Method of Mechanical Theorems, and the Stomachion!
'just like receiving a fax from the 3rd century BC'...
-Using the latest Scientific techniques with cutting edge physics to view treatises of Archimedes palimpsest...
-View Palimpsest Viewer
SCIENTISTS: Roger Easton, Professor of Imaging Science at The Rochester Institute of Technology, Keith Knox, of the Boeing Corporation, based in Maui, and William A. Christens-Barry of Equipoise Imaging, LLC; who in cooperation, via the use of imaging techniques, made these remarkable discoveries, by the use of a (only copy of its kind) Archimedes palimpsest...
Of the number of techniques applied, confocal microscopy, magnetic resonance imaging, however, multispectral imaging was the most successful..
- Process of Imagery techniques
-An excellent Archimedes biography
-A few of the Accomplishments of Archimedes
-Of the many inventions...there was also warfare made at King Hieron's request, designed to strike the Syracusans dumb with fear...
Archimedes created catapults to hurl burning balls of fire and grappling cranes to tip over ships. And, additionally, he invented a system of mirrors that reflected and directed the sun at warships causing them to set fire. It appears that Archimedes actually assembled a group of soldiers with polished shields into a large parabola shape and then focused the reflection from their shields onto the rigging of the ships and igniting them.
Of all of his inventions, I consider the ratio of the volume of the cylinder to that of the sphere-- to be Archimedes’s greatest achievement.
Theorem 2.4.6: Properties of R and Q
The set of real numbers satisfies the Archimedean Property:
Let a and b be positive real numbers. Then there is a natural number n such that n * a > b
The set of rational numbers satisfies the following Density Property:
Let c < d be real numbers. Then there is a rational number q with c < q < d.