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By Lancelot Hogben

Writer: Doubleday & corporation

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Everything else had to be proved up to the hilt; but the teacher Euclid's work set the pattern for all that we meon by proving a case in mathematics. Euclid's general proof of Pythagoros's Theorem. who had new rule was sound when proving another- thus proved that a could use the same rule There was no need to start right at the beginning again. By arranging his proot's in order, with one rule leading to the next, he could save a lot of tiresome repetition. C. Before Greek times there had been no logical system of rules — no There making science of geometry.

One angle if is also be half a right-angle we know two angles of 45 When sunbeams 45 right half a right-angle is the second rule sides opposite the two will also see that and another to a triangle are that the are equal. strike the earth at an angle of shadow and the sunbeams form such a triangle. This gives the surveyor a just method of measuring the height of out the trouble of climbing the pillar with- Pillar it. are both opposite an angle of 45 and shadow so both are of , equal length. Instead of measuring the height of the pillar, the surveyor can measure the shadow.

C. were beginning to draw which the Mediterranean coastlines are geographers charts on recognisable. But the Phoenicians left the Greeks a legacy far more valuable than such crude map-making. The men of Tyre and Sidon, who spoke a language rather like Hebrew, were among the earliest people new sort of writing. Instead of using a number of picture-symbols for words or ideas, the Phoenicians used an alphabet made up of a few simple signs which stand for sounds. C. the their own Greeks adapted such an alphabet to very different language.

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The Wonderful World of Mathematics by Lancelot Hogben


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