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Russell, Bertrand (1872-1970)

At first it seems obvious, but the more you think about it the stranger the deductions from this axiom seem to become; in the end you cease to understand what is meant by it.

In N. Rose Mathematical Maxims and Minims, Raleigh NC: Rome Press Inc., 1988.

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Loci: Convergence

Mathematical Treasures

by Frank J. Swetz and Victor J. Katz

Niccolo Tartaglia's Nova Scientia

 

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This is the title page of the Nova Scientia (1537) of Niccolo Tartaglia (1499-1557).  In this work, Tartaglia discussed the mathematics of artillery and developed methods for determining the range of a cannon. The caption below the illustration reads, "The Mathematical sciences speak:  Who wishes to know the various causes of things, learn about us.  The way is open to all."  The illustration itself depicts a walled compound, the compound of knowlege.  The high wall keeps out the man who attempts to scale it and enter improperly.  Entrance into the compound is through a single door opened by Euclid.  In the first courtyard, a crowd comprised of Tartaglia and the muses of the seven liberal arts watch a demonstration of Tartaglia's new knowlege, a theory of trajectories.  Beyond the first courtyard is a second smaller, more exclusive and highly elevated one.  Its entrance is manned by Aristotle and Plato.  Plato holds a banner proclaiming, "No one can enter who does not know geometry."  Enthroned at the rear of this compound, in the highest position of all, is philosophy.

 

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On this page (f. 29v), we see a method of determining the height of a distant object using a quadrant.


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