The History of Mathematics: A Brief Course

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Color Phi t os 22:1 Plate 1. Top I ï bottom: Problems 49 54 of I he Alnnosc Papyrus. © The British Museum. Plate 2. (Overleaf): ...

221 Color PliiU-ê ...

Plate 3. Folio 47 of the Dresden Codex. © Saclisische Landosbibliothek. Dresden. Plate 4. A brunch of a flowering <-fuha]i])l ...

22(i (º.Éééé I'liili's Plate 5. Florence Nightingale's "balwing" or ••coxcomb" diagram, forerunner of the modern pie chart. Unli ...

Color Plalcs 227 Plate 6. A page of the Archimedes Palimpsest. © Christie's linages Incorporated 2005. ...

Color IMiilos Plate 7. Egyptian field measurers: a wall painting from 1 lit* tomb of Mcima. Scribe of the Fields, around 1100 ÉÊ ...

Color Pinto Plate 8. HeronstTurrioii of one of Ptolemy's maps of the world. © The Vatican Library (Urb. gr. 82. ff. (i()v (ilr). ...

T.M (•nli.r Plnlrs Plate 9. Port rail. ol'Liica Pacioli in 1495 working with a text of Euclid's Elements. by Jacopo do Barbari ( ...

Part 4. Space The History of Mathematics: A Brief Course, Second Edition by Roger Cooke Copyright © 200 5 John Wiley & Sons, ...

Geometry is a way of organizing our perception of shape. As in arithmetic, we can distinguish levels of sophistication in the de ...

Chapter 9. Measurement The word geometry comes from the Greek words ge, meaning earth, and metrein, meaning measure. It seems th ...

234 9. MEASUREMENT circumference of a circle is proportional to its diameter. That is, given two circles with circumferences C, ...

EGYPT 235 a steward, to oversee planting and harvest. As the painting shows, the instrument used to measure distance was a rop ...

236 9. MEASUREMENT horizontal and vertical displacements, it makes sense to use a larger unit of length for vertical distances t ...

EGYPT 237 + \/80»9 FIGURE 1. Conjectured explanations of the Egyptian squaring of the circle. Ahmose takes the area of a circl ...

238 9. MEASUREMENT It has been imagined that the Egyptians regarded one triangle above all others, likening it to the nature of ...

EGYPT 239 Calculate 9 of 9, since the basket is half of an egg. The result is 1. Calculate what is left as 8. Calculate 9 of 8 ...

240 9. MEASUREMENT Given that pyramids are so common in Egypt, it is surprising that the Ahmose Papyrus does not discuss the vol ...

MESOPOTAMIA 241 Q R s< FIGURE 2. Dissection of a cube into two square pyramids and two tetrahdra. three pieces that the scr ...