Euclid, His Life and SystemCharles Scribner's sons, 1902 - 227 σελίδες |
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Αποτελέσματα 1 - 5 από τα 27.
Σελίδα 8
... problem , they sought counsel of Plato , who referred them to the geometers , especially Euclid . Now it appears that Plato was not born till the year after 430 , nor Euclid till a century later . This " Delian problem , " as it was ...
... problem , they sought counsel of Plato , who referred them to the geometers , especially Euclid . Now it appears that Plato was not born till the year after 430 , nor Euclid till a century later . This " Delian problem , " as it was ...
Σελίδα 26
... problem of the duplication of the cube . This he effected by means of the intersection of a cylinder and a cone . His solution , therefore , lies outside of the territory to which we confine ourselves , plane geometry.2 1 Socrates ...
... problem of the duplication of the cube . This he effected by means of the intersection of a cylinder and a cone . His solution , therefore , lies outside of the territory to which we confine ourselves , plane geometry.2 1 Socrates ...
Σελίδα 27
... problem of plane geometry , namely , to insert two means between a line and its double . If that problem could be solved , the dupli- cation of the cube would follow at once . the solution of this problem by plane geometrical means the ...
... problem of plane geometry , namely , to insert two means between a line and its double . If that problem could be solved , the dupli- cation of the cube would follow at once . the solution of this problem by plane geometrical means the ...
Σελίδα 31
... problem of the duplication of the cube , the rectification and quadrature of the circle . These attempts were unsuccessful , yet it is not to be sup- posed that they were made in vain . The old fable of the treasure pretended to be ...
... problem of the duplication of the cube , the rectification and quadrature of the circle . These attempts were unsuccessful , yet it is not to be sup- posed that they were made in vain . The old fable of the treasure pretended to be ...
Σελίδα 32
... problems were not altogether unproductive even of direct results . Hippocrates1 of Chios , in attempting to square the ... problem just where he found it . But it is his proud fame to have been the first to square a figure with circular ...
... problems were not altogether unproductive even of direct results . Hippocrates1 of Chios , in attempting to square the ... problem just where he found it . But it is his proud fame to have been the first to square a figure with circular ...
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
Adelard admit Alexandria Alexandrian School algebra Almagest Anaximander Arabic Archytas arithmetic ascertain assumption astronomy attained axiom called Campanus century Christian circle conic sections course cube cultivation defect defined demonstration Descartes diameter discovery doubt Egypt Egyptian elementary equilateral triangle Euclid Euclid's Elements Euclidean Euclidean geometry Eudemus extent fact faculty give given Greek Honain important inference intellect intersecting invention Ionian School knew knowledge Laplace Legendre Leibnitz less lived logarithms logic mathe mathematical science mathematical study mathematician matical matter means measure ment method mind modern Newton optical parallel lines philosophy plane plane geometry Plato position principle probably problem Proclus proof Prop proposition proved Ptolemy Pythagoras question reasoning rectangle referred regarded right angles right-angled triangle seems square statement straight line suppose Tarentum teacher teaching Thales theorem thought tion translation treatise triangle are equal true truth
Δημοφιλή αποσπάσματα
Σελίδα 142 - In them hath he set a tabernacle for the sun, which is as a bridegroom coming out of his chamber, and rejoiceth as a strong man to run a race. His going forth Is from the end of the heaven and his circuit unto the ends of It: and there is nothing hid from the heat thereof.
Σελίδα 174 - Let them praise the name of the Lord: for he commanded, and they were created. He hath also stablished them for ever and ever: he hath made a decree which shall not pass.
Σελίδα 133 - It is true, that a little philosophy inclineth man's mind to atheism; but depth in philosophy bringeth men's minds about to religion: for while the mind of man looketh upon second causes scattered, it may sometimes rest in them, and go no farther; but when it beholdeth the chain of them confederate and linked together, it must needs fly to Providence and Deity.
Σελίδα 133 - Lo, these are parts of his ways: but how little a portion is heard of him? but the thunder of his power who can understand?
Σελίδα 183 - Behold also the ships, which, though they be so great, and are driven of fierce winds, yet are they turned about with a very small helm, whithersoever the governor listeth.
Σελίδα 50 - A mule and a donkey were going to market laden with wheat. The mule said 'If you gave me one measure I should carry twice as much as you, but if I gave you one we should bear equal burdens.
Σελίδα 107 - There is that scattereth, and yet increaseth; and there is that withholdeth more •than is meet, and it tendeth to poverty.
Σελίδα 179 - And he made a molten sea, ten cubits from the one brim to the other : it was round all about, and his height was five cubits : and a line of thirty cubits did compass it round about.
Σελίδα 44 - Pythagoras' theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides.