Smaller than the Smallest Angle (formed by straight lines)

The angle a tangent line forms with the circumference of a circle is is least possible angle made with a straight line from that point of tangent (tangent line EA in the image). This is demonstrated in Book III, proposition 16 of Euclid’s Elements. The angle formed by the tangent is also known as a cornicular or … Continue reading Smaller than the Smallest Angle (formed by straight lines)

The Terrible Fatalism of Gambling and the Providence of God

Richard Carstone in Charles Dickens’ Bleak House is a quintessential gambler. A promising young man who holds the heart of a lovely young lady, who is supported by a wealthy benefactor, and who is surrounded by well wishers, he is only in need of a bit of steady application. But in this he fails because he is … Continue reading The Terrible Fatalism of Gambling and the Providence of God