A history of elementary mathematicsMacmillan, 1896 - 304 sider |
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... . F. K. Bailey , a student in Colorado College . I extend to them my sincere thanks . COLORADO COLLEGE , COLORADO SPRINGS , July , 1896 . FLORIAN CAJORI . CONTENTS PAGE ANTIQUITY NUMBER - SYSTEMS AND NUMERALS ARITHMETIC AND vi PREFACE.
... . F. K. Bailey , a student in Colorado College . I extend to them my sincere thanks . COLORADO COLLEGE , COLORADO SPRINGS , July , 1896 . FLORIAN CAJORI . CONTENTS PAGE ANTIQUITY NUMBER - SYSTEMS AND NUMERALS ARITHMETIC AND vi PREFACE.
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... ARITHMETIC AND ALGEBRA . Hindus 89 93 93 93 Arabs 103 Europe during the Middle Ages 111 Introduction of Roman Arithmetic . 111 Translation of Arabic Manuscripts The First Awakening 118 119 GEOMETRY AND TRIGONOMETRY 122 Hindus 122 Arabs ...
... ARITHMETIC AND ALGEBRA . Hindus 89 93 93 93 Arabs 103 Europe during the Middle Ages 111 Introduction of Roman Arithmetic . 111 Translation of Arabic Manuscripts The First Awakening 118 119 GEOMETRY AND TRIGONOMETRY 122 Hindus 122 Arabs ...
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... Arithmetic in the United States " Pleasant and Diverting Questions " ALGEBRA The Renaissance The Last Three Centuries GEOMETRY AND TRIGONOMETRY 215 219 224 224 234 245 • Editions of Euclid . Early Researches . 245 The Beginning of ...
... Arithmetic in the United States " Pleasant and Diverting Questions " ALGEBRA The Renaissance The Last Three Centuries GEOMETRY AND TRIGONOMETRY 215 219 224 224 234 245 • Editions of Euclid . Early Researches . 245 The Beginning of ...
Side 2
... arithmetic is concerned , it is certainly to be regretted that a sixth finger did not appear . Except for the necessity of using two more signs or numerals and of being obliged to learn the multiplication table as far as 12 x 12 , the ...
... arithmetic is concerned , it is certainly to be regretted that a sixth finger did not appear . Except for the necessity of using two more signs or numerals and of being obliged to learn the multiplication table as far as 12 x 12 , the ...
Side 3
... arithmetic was so far developed as to make a change impossible . " The case is the not uncommon one of high civilization bearing evident traces of the rudeness of its origin in ancient barbaric life . " 2 Of the notations based on human ...
... arithmetic was so far developed as to make a change impossible . " The case is the not uncommon one of high civilization bearing evident traces of the rudeness of its origin in ancient barbaric life . " 2 Of the notations based on human ...
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A History of Elementary Mathematics, with Hints on Methods of Teaching Florian Cajori Ingen forhåndsvisning tilgjengelig - 2019 |
Vanlige uttrykk og setninger
abacists abacus Ahmes algebra angles appears Arabic Archimedes arith arithmetic Arithmetick astronomer axioms Boethius Bolyai Brahmagupta Briggs called CANTOR century circle Cocker computation construction cube Cyclopædia Desargues digits Diophantus discovery divided division divisor early edition Egyptian elementary England English equal equations Euclid Euclid's Elements figures G. B. HALSTED geom geometry Gerbert German given gives Greek Greek mathematical HANKEL Heron Hindu numerals invention Italian later Latin Leonardo of Pisa logarithms London LORIA Math mathematical mathematicians method metic modern Morgan multiplication Napier notation numbers origin Pacioli PEACOCK plane Plato polygon postulate pound problem proof proportion published pupil Pythagoreans Regiomontanus right triangle Robert Simson Roman roots rule of three says sexagesimal sides sines sixteenth solution square straight line subtraction symbol Tartaglia teacher teaching text-book theorem theory tion translation treatise trigonometry unit-fractions Vieta vigesimal weights and measures word write written wrote
Populære avsnitt
Side 130 - A cos 6 = cos a cos c + sin a sin c cos B cos c = cos a cos 6 + sin a sin 6 cos C Law of Cosines for Angles cos A = — cos B...
Side 68 - A plane rectilineal angle is the inclination of two straight lines to one another, which meet together, but are not in the same straight line.
Side 71 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Side 284 - The Connexion of Number and Magnitude; An attempt to explain the fifth book of Euclid.
Side 160 - Napier lord of Markinston, hath set my head and hands at work with his new and admirable logarithms. I hope to see him this summer, if it please God ; for I never saw a book which pleased me better, and made me more wonder.
Side 229 - He spoke of imaginary quantities, and inferred by induction that every equation has as many roots as there are units in the number expressing its degree.
Side 100 - These problems are proposed simply for pleasure; the wise man can invent a thousand others, or he can solve the problems of others by the rules given here. As the sun eclipses the stars by his brilliancy, so the man of knowledge will eclipse the fame of others in assemblies of the people if he proposes algebraic problems, and still more if he solves them.
Side 134 - The square of a diagonal of a rectangular parallelopiped is equal to the sum of the squares of the three dimensions.
Side 236 - The neglect which he had shown of the elementary truths of geometry he afterwards regarded as a mistake in his mathematical studies ; and on a future occasion he expressed to Dr. Pemberton his regret that " he had applied himself to the works of Descartes, and other algebraic writers, before he had considered the Elements of Euclid with that attention which so excellent a writer deserved."3 The study of Descartes...
Side 101 - the second value is in this case not to be taken, for it is inadequate ; people do not approve of negative roots.