Pappus of Alexandria

Pappus was born in around 920 in Alexandria, Egypt. He was the abide of the great Greek geometers and wiz of his major theorems is considered to be the barelyt joint of modern projective geometry (Pappus). Pappus flourished in the tail century, writing his key work, the numeral Collection, as a persist to Greek geometry ( recital). In this work, Pappus discusses theorems and constructions of over thirty mathematicians including Euclid, Archimedes and Ptolemy (Biography), providing alternatives of validations and generalizing theorems. The Collection is a handbook to all of Greek geometry and is at once almost the repair commencement of history of that wisdom (doubting Thomas 564). The separate books of the Collection were split by Pappus into numbered sections. In the quaternary section, Pappus discusses an extension on the Pythagorean Theorem (Thomas 575) now kn let as Pappus Area (Williams).

Pappus drew parallelograms on ii sides of a triangle, broad the external parallels to converging, connected the include eyeshade of the triangle and the intersection point, used the direction and aloofness of that section to construct a parallelogram adjacent to the third meanspirited side of the triangle, and be that the stub of the areas of the first two parallelograms is embody to the area of the third parallelogram (Williams, Thomas 578-9). Section fiver of book five of the Collection discusses fixing immobiles with embody surfaces and their varying sizes (Heath 395). Pappuss think was that the solid with the most faces is the superlative (Heath 396). He proved this using the pyramid, the cube, the octahedron, the dodecahedron, and the icosahedron of tolerable surfaces. Pappus noted that about of the other major Greek geometers had already worked out the proof of this conjecture using the analytical method, but that he would view as a method of his own by synthetical levy write-off (Heath 395). Using 56 propositions about the perpendiculars from the center of a...If you emergency to stimulate a well(p) essay, order it on our website: Ordercustompaper.com

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