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An Episodic History of Mathematics potx

An Episodic History of Mathematics potx

An Episodic History of Mathematics potx

... 1.3.Proof of the Pythagorean Theorem:Observe that we have four right triangles and a square packed into alarger square. Each triangle has legs a and b, and we take it that b>a. Of course, ... we calculate thatc2= (area of large square)= (area of triangle) + (area of triangle) +(area of triangle) + (area of triangle) +(area of small square)=12· ab +12· ab +12· ab +12· ... device “angle-side-angle” or ASA. See Figure 1.7.• If two sides and the included angle correspond in each of the two triangles, so that the two pairs of sides areequal, and the included angles...
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An Illustrated History of Ireland from AD 400 to 1800 potx

An Illustrated History of Ireland from AD 400 to 1800 potx

... effacedmemorandum in the Book of Leinster, which he reads thus: "[Ernín, son of] Duach [that is], son of the King of Connacht, an Ollamh, and a prophet, and a professor in history, and a professor ... other, and afterwards with the Firbolgsand Tuatha Dé Danann of Erinn,[17] and subsequently with the Milesians. Flann synchronizes the chiefs of various lines of the children of Adam in the East, and ... most adverse circumstances, and one of the many, if not one of themost, triumphant denials of the often-repeated charges of indolence made against the mendicant orders, and of aversion to learning...
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AN ECONOMIC HISTORY OF THE ENGLISH POOR LAW 1750-1850 pptx

AN ECONOMIC HISTORY OF THE ENGLISH POOR LAW 1750-1850 pptx

... countries during the 1960s and 1970s. Further evidence of labormobility, and of the importance of London as a destination of ruralsouthern migrants, is provided by Deane and Cole (1967: 106-15), ... explana-tions for the widespread adoption of outdoor relief policies in the 1770sand 1780s and for the significant differences in the administration of relief between the southeast of England and ... sugges-tions. Stanley Engerman and Michael Edelstein read the entire manu-script, and their detailed comments significantly improved the final ver-sion of the book.Several other people have read and criticized...
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The Social History of Smoking potx

The Social History of Smoking potx

... shortnesse of winde, and fetche their breath thickeor often, and do [sic] breake without daunger the impostems of the breast." The leaves of coltsfoot and of other plants have often been ... use it yet had plenty of enemies. It was extravagantly abused andextravagantly praised. Robert Burton, of "Anatomy of Melancholy" fame, like many other writers of his time,was prepared ... weekdays many New England Puritans probably smoked as their friends in old England did. Acontemporary painting of a group of Puritan divines over the mantelpiece of Parson Lowell, of Newbury,shows...
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The history of mathematics

The history of mathematics

... Gillian Butler andFreda McManusPURITANISM Francis J. BremerTHE QUAKERS Pink DandelionQUANTUM THEORYJohn PolkinghorneRACISM Ali RattansiTHE REAGAN REVOLUTION Gil TroyREALITY Jan WesterhoffTHE ... book can do only a little to redress the masculine bias of most depictions of the history of mathematics; it can, however, pay more than lip service to the mathematics of continentsother than Europe; ... introductionnot just to some of the mathematics of the past but to the history of mathematics itself as amodern academic discipline. Chapter 1 Mathematics: myth and history It is not often that a thorny...
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Froude''''s History of England potx

Froude''''s History of England potx

... people of England; his vastschemes for education; his still vaster schemes for breaking the alliance with Spain, and uniting France andEngland as fellow-servants of the Pope, and twin-pillars of ... thesaid high and great fruits and effects thereof insured to the surety and commodity and tranquillity of thisrealm of our mind and consent, do freely, absolutely, give and grant to the King's ... mounds of earth to Hindoo and Persian, Greek and Roman, Teuton and Scandinavian, that men arethe sons of the heroes, who were the sons of God? Or do they believe that for civilised people of thenineteenth...
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A History of China potx

A History of China potx

... land of his fief, as far as he and his clan actually used it, as "clan" land;parts of this land he gave to members of his own branch-clan for their use without transferring rights of property, ... southShansi, east Shensi, parts of Kiangsu and Anhui. We can only roughly estimate the size of the population of the Shang state. Late texts say that at the time of the annihilation of the dynasty, ... spread over thepresent provinces of Shantung, Kiangsu, Chekiang, and Anhui, and some specimens of its pottery went as faras Honan and Shansi, into the region of the painted pottery. This culture...
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Tài liệu AN INTRODUCTION TO THE HISTORY OF WESTERN EUROPE PART 1 pptx

Tài liệu AN INTRODUCTION TO THE HISTORY OF WESTERN EUROPE PART 1 pptx

... years,—the explanation of how the Roman Empire of the West and the wild and unknown districts inhabited by the German races have become the Europe of Gladstone and Bismarck, of Darwin and Pasteur. ... "man" of the Archbishop of Rheims. He was also the vassal of the Archbishop of Sens, of four other neighboring bishops, and of the abbot of the great monastery of St. Denis. To all of ... DEVELOPMENT OF FRANCE Importance of studying the beginnings of the modern European states. 46. There is no more interesting or important phase of mediæval history than the gradual emergence of the...
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Tài liệu Mathematics and Its History, Third Edition potx

Tài liệu Mathematics and Its History, Third Edition potx

... rational triangle splitsinto two rational right-angled triangles. It follows from the parameteriza-tion of rational right-angled triangles, which was known to Brahmagupta.Proof.Forany triangle with ... Brˆahma-sphut.a-siddhˆanta of 628 ce.In particular, he found the following complete description of rational trian-gles.Parameterization of rational triangles. A triangle with rational sides a,b, c and rational ... 5.5.2 and 5.5.4 that k divides (ar + bs)(am+ Nb)forany integers r and s, and hence that k divides am + Nb.5.6 Rational Triangles 815.6 Rational TrianglesAfter the discovery of rational right-angled...
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THE LANGHAM SERIES AN ILLUSTRATED COLLECTION OF ART MONOGRAPHS EDITED potx

THE LANGHAM SERIES AN ILLUSTRATED COLLECTION OF ART MONOGRAPHS EDITED potx

... great uprising of Puritan England,—the struggle for civil and political liberty, and its achievement,—the Ironsides of Cromwell with Bible and uplifted sword. That intensity of moral and spiritual ... indeed, one of the unconscious ironies of art history that the artist, whose work shows least of its influence or attraction, should have devoted the one offspring of his pen to an Analysis of Beauty. ... the most characteristic and the most brilliant of his creations. Its popularity was immense and instantaneous; it was played in pantomime, and reproduced on ladies' fans. But if he did not...
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