Euclid, His Life and SystemCharles Scribner's sons, 1902 - 227 σελίδες |
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Αποτελέσματα 1 - 5 από τα 28.
Σελίδα 10
... truth , as , for example , of that truth which now takes rank as a proposition , that any one side of a triangle is less than the sum of the two others . We might go further , and say that 1 " Dublin University Press " Series , Greek ...
... truth , as , for example , of that truth which now takes rank as a proposition , that any one side of a triangle is less than the sum of the two others . We might go further , and say that 1 " Dublin University Press " Series , Greek ...
Σελίδα 11
... truth , on which the eagle in his flight , the tiger in his spring , and the slug in his silent progression , all proceed . Nor beast nor bird , nor fish nor reptile voluntarily proceeds from point to point otherwise than by the ...
... truth , on which the eagle in his flight , the tiger in his spring , and the slug in his silent progression , all proceed . Nor beast nor bird , nor fish nor reptile voluntarily proceeds from point to point otherwise than by the ...
Σελίδα 17
... truth of these three cases of what afterwards became Euc . I. 47 , though it is very likely that they had not proved them by geometric methods . It would appear that Thales , having returned to Greece and founded the " Ionian School ...
... truth of these three cases of what afterwards became Euc . I. 47 , though it is very likely that they had not proved them by geometric methods . It would appear that Thales , having returned to Greece and founded the " Ionian School ...
Σελίδα 20
... truth and the other truths involved in it , or indispensable for its proof . We have seen that even Thales is reputed to have known that the angle in a semicircle is a right angle ; and it was impossible , one would think , even to draw ...
... truth and the other truths involved in it , or indispensable for its proof . We have seen that even Thales is reputed to have known that the angle in a semicircle is a right angle ; and it was impossible , one would think , even to draw ...
Σελίδα 21
... truth , for then he would take a place behind even the tyros of later times . He did better than merely learn what ... truths which they knew ; in other words , that they ever contemplated geometry as a science , or that they ever ...
... truth , for then he would take a place behind even the tyros of later times . He did better than merely learn what ... truths which they knew ; in other words , that they ever contemplated geometry as a science , or that they ever ...
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.