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According to mathematician S. G. Dani, the Babylonian cuneiform tablet Plimpton 322 written c. 1850 BCE [34] "contains fifteen Pythagorean triples with quite large entries, including (13500, 12709, 18541) which is a primitive triple, [35] indicating, in particular, that there was sophisticated understanding on the topic" in Mesopotamia in 1850 ...
Starting with 5, every second Fibonacci number is the length of the hypotenuse of a right triangle with integer sides, or in other words, the largest number in a Pythagorean triple, obtained from the formula (+) + (+ +) = +.
For example, a 10 cm (3.9 in) circular would have a maximum precision approximately equal to a 31.4 cm (12.4 in) ordinary slide rule. Circular slide rules also eliminate "off-scale" calculations, because the scales were designed to "wrap around"; they never have to be reoriented when results are near 1.0—the rule is always on scale.
The greatest mathematician of antiquity is often held to be Archimedes (c. 287 – c. 212 BC) of Syracuse. [80] He developed formulas for calculating the surface area and volume of solids of revolution and used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series , in a manner not ...
Here the trick item is an inconspicuous word easily overlooked by the examinee. Hopkins et al. advise against such kind of questions during tests. [6] Other types of trick question contain a word that appears to be irrelevant, but in fact provides a clue. [7] Luke 20 contains what is described as a "trick question" of Sadducees to Jesus: [8]
An excited state of the 12 C nucleus exists a little (0.3193 MeV) above the energy level of 8 Be + 4 He. This is necessary because the ground state of 12 C is 7.3367 MeV below the energy of 8 Be + 4 He; a 8 Be nucleus and a 4 He nucleus cannot reasonably fuse directly into a ground-state 12 C nucleus.
Ancient Egyptian mathematicians had a grasp of the principles underlying the Pythagorean theorem, knowing, for example, that a triangle had a right angle opposite the hypotenuse when its sides were in a 3–4–5 ratio. [60] They were able to estimate the area of a circle by subtracting one-ninth from its diameter and squaring the result:
Thailand's government-sponsored family planning programme resulted in a dramatic decline in population growth from 3.1% in 1960 to around 0.4% today. In 1970, an average of 5.7 people lived in a Thai household; in 2022, the average Thai household size was 3 people. [266]