Radiocarbon dating accuracy, history of technology from the bronze age to the present day
Since there doesn't seem to be any systematic error that could cause so many methods to agree with each other so often, it seems that there is no other rational conclusion than to accept these dates as accurate.
If you were to measure Ar40 concentration as function of depth, you would no doubt find more of it near the surface than at deeper points because it migrates more easily from deep in the earth than it does from the earth into the atmosphere.
Archimedes invented the a water pump based on a helical screw, versions of which are still in use today. Evidence from Ur indicates that the simpler potter's wheel probably predates the use of the axled wheel for transport because of the difficulty in designing a reliable mechanism for mounting the rotating wheel on a fixed hub or a rotating axle on the fixed load carrying platform.
Vitruvius also proposed a marine version of his device in which the distance was calculated from the rotation of paddles. This implies a radiometric age of over 4 billion years. We usually prefer AMS dating because of its inherent superior accuracy, but use the conventional method when large samples are available in order to completely rule out contamination.
Now, several factors need to be considered when evaluating how often methods give expected ages on the geologic column.
See diagram of Hero's Aeolipile. But regardless of the accuracy of this age for the earth, the existence of rocks circa 4,, years old puts the squeeze on a 10, year old Earth.
As n becomes very large, the difference in area between the given shape and the n polygons it contains will become very small.
This it can do by following the path of the ancient lava flow itself, coming up along the path of the magma. A sample of acacia wood from the tomb of the pharoah Zoser was dated for example. The Mesopotamians discovered glass, probably from glass beads in the slag resulting from experiments with refining metallic ores.
It is at least incumbent upon proponents of its spontaneous genesis to explain how the 'correct' monomers could have been selected from the 'prebiotic clutter,' how Radiocarbon dating accuracy sufficient concentration of monomers was maintained, where the energy came from, and how the replicator evaded the tendency of polymers to break down by hydrolysis.
It is possible that such isochrons are not often done.
The relationship between the data obtained and a specific event must be known. These cosmic rays collide with atoms in the atmosphere and can cause them to come apart. Collagen tends to undergo microbiological decomposition, hydrolysis, dissolution, and denaturizing over archaeological and geological timescales, so that only in exceptional conditions, such as burial in permafrost, is collagen found to survive without significant changes into Pleistocene.
Radiocarbon dating accuracy became a tutor to Gelon, the son of King Hieron. Volcanos typically have magma chambers under them, from which the eruptions occur. It's the responsibility of the geologist to show that such mixings have not occurred. This is from a paper by Austin available at ICR.
Ptolemy Soter's grandest building project in the new capital was the Musaeum or "Temple of the Muses" from which we get the modern word "museum" which he founded around B. For the present, we are in limbo.
Stable Isotope Analysis
As the number of sides increases, it becomes a more accurate approximation of a circle. Heating of rocks can also release argon.
In those days the notion of alchemy also included what we would today call chemistry.