Mathematicians Of The Day

10th June

Quotation of the day

From André-Marie Ampère
Either one or the other [analysis or synthesis] may be direct or indirect. The direct procedure is when the point of departure is known-direct synthesis in the elements of geometry. By combining at random simple truths with each other, more complicated ones are deduced from them. This is the method of discovery, the special method of inventions, contrary to popular opinion.
[Ampère gives this example drawn from geometry to illustrate his meaning for 
direct synthesis
when deductions following from more simple, already-known theorems leads to a new discovery.]
In J R Hofmann, André-Marie Ampère (1996)