The article written by Percy E. Ludgate in 1909 first gives thanks to Professor C. V. Boys, F.R.S. for his assistance on the subject of analytical machines. Ludgate also refers to the work of Charles ...

For two millennia, mathematicians have shown the Pythagorean theorem to be true through geometry and algebra, never trigonometry.

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Let the obtuse angle MOQ = \(2x\). Using the circle theorem, the angle at the centre is twice the angle at the circumference. Angle MNQ = \(x\) and angle MPQ = \(x\). Therefore angle MNQ = angle MPQ.

Creative Commons (CC): This is a Creative Commons license. Attribution (BY): Credit must be given to the creator. In July 1925, Werner Heisenberg submitted a paper to Zeitschrift für Physik entitled ...