Or the greatest of all, the doctor that rediscovered integration in 1994. https://fliptomato.wordpress.com/2007/03/19/medical-research...
https://math.berkeley.edu/~ehallman/math1B/TaisMethod.pdf
> RESEARCH DESIGN AND METHODS— In Tai's Model, the total area under a curve is computed by dividing the area under the curve between two designated values on the X-axis (abscissas) into small segments (rectangles and triangles) whose areas can be accurately calculated from their respective geometrical formulas. The total sum of these individual areas thus represents the total area under the curve
https://en.wikipedia.org/wiki/Trapezoidal_rule
It's not even a particular good choice for the specific problem (glucose curve) because the trapezoidal rule will systematically underestimate the true area when the curvature is always negative. Simpson's rule is almost always a better choice:
https://en.wikipedia.org/wiki/Simpson%27s_rule
Fun fact: although the method is attributed to the 18th century mathematician Simpson, Kepler is known to have used it in the 17th century.
Academia in a nutshell.
- versed sine (versin) and versed cosine (vercos)
- coversed sine (coversin) and coversed cosine (covercos)
- haversed sine (haversin) and haversed cosine (havercos)
- hacoversed sine (hacoversin) and hacoversed cosine (hacovercos)
- exsecant and excosecant
Perhaps I am forgetting some. Many alternative mnemonics exist for these too.
This formula was very important: https://en.wikipedia.org/wiki/Haversine_formula
I can only be sad to imagine how something on that subject would be produced today (with so much sound and visual effects and removing the substance to be practically unwatchable). They just don't make them like that anymore, sadly.
Also good to be remembered that a lot of work of Leibniz was in some way inspired or motivated by, or related to his work on his calculating machine:
