A History of Elementary Mathematics: With Hints on Methods of Teaching |
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A History of Elementary Mathematics, with Hints on Methods of Teaching Florian Cajori No preview available - 2019 |
Common terms and phrases
abacists abacus Ahmes algebra angles appears Arabic Archimedes arith arithmetic Arithmetick axioms Babylonians Boethius Bolyai Brahmagupta Briggs called CANTOR century circle Cocker computation construction Cyclopædia decimal Desargues Descartes digits Diophantus discovery division early edition Egyptian elementary England English equal equations Euclid Euclid's Elements figures fractions G. B. HALSTED geom geometry Gerbert German given gives Greek Greek mathematical HANKEL Heron Hindu numerals invention irrational Italian later Latin Leonardo of Pisa logarithms London LORIA Math mathematicians mathematics matics method metic modern Morgan multiplication Napier natural logarithms notation numbers origin Pacioli PEACOCK plane polygon postulate pound practical problems proof published pupil Pythagoreans Regiomontanus Roman roots rule of three says sexagesimal sides sines solution square straight line subtraction symbol Tartaglia teacher teaching text-book theorem theory tion translation treatise triangle trigonometry Vieta vigesimal weights and measures word write written zero
Popular passages
Page 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...
Page 222 - As I was going to St. Ives, I met a man with seven wives, Every wife had seven sacks, Every sack had seven cats, Every cat had seven kits — Kits, cats, sacks, and wives, How many were going to St. Ives?
Page 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.
Page 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...
Page 162 - 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.
Page 198 - Tare is an allowance made to the buyer for the weight of the box, barrel, or bag, &c. which contains the goods bought, and is either at so much per box, &c., at so much per cwt., or at so much in the gross weight.
Page 266 - Parallel straight lines are such as are in the same plane, and which being produced ever so far both ways, do not meet.
Page 231 - 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.
Page 193 - I set an hour by him to see him design it all: and strange it is to see him with his natural eyes to cut so small at his first designing it, and read it all over, without any missing, when for my life I could not, with my best skill, read one word, or letter of it; but it is use.
Page 134 - The square of a diagonal of a rectangular parallelopiped is equal to the sum of the squares of the three dimensions.