## A History of Mathematics |

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algebra analysis analytical angles appeared applied Arabic arithmetic astronomical became born calculus called cents century circle College complete conic considered contains continued curve Desargues Descartes determine developed differential equations discovery Edition Elementary Elements equal equations Euclid Euler Examples expressed figures fractions functions Gauss gave geometry given gives Greek Hindoo idea important infinite integral interest introduced invention Italy John knowledge known Lagrange Laplace later Leibniz lines mathematicians mathematics means mechanics method motion nature Newton notation observed original Paris period physics plane position principle probability problem professor progress proof proved published quantities question relation remained remarkable researches roots rule says showed sides solids solution solved square surface symbol tables theorem theory third tion translated Treatise triangle trigonometry University variable writings wrote

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Page 292 - THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel.

Page 13 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.

Page 90 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.

Page 419 - FERRERS.— AN ELEMENTARY TREATISE on TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projections. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.