Euclid, His Life and SystemCharles Scribner's sons, 1902 - 227 σελίδες |
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Αποτελέσματα 1 - 5 από τα 27.
Σελίδα 21
... philosophy which is conversant about geometry itself into the form of a liberal doctrine , considering its principles in a more exalted manner , and investigating its theorems im- materially and GEOMETRY BEFORE EUCLID 21.
... philosophy which is conversant about geometry itself into the form of a liberal doctrine , considering its principles in a more exalted manner , and investigating its theorems im- materially and GEOMETRY BEFORE EUCLID 21.
Σελίδα 26
... principle of this mechanical power , and the efficacy of its various forms . He is also said to have constructed a wondrous flying dove and other automata . His great achieve- ment in pure mathematics was the solution of the Delian ...
... principle of this mechanical power , and the efficacy of its various forms . He is also said to have constructed a wondrous flying dove and other automata . His great achieve- ment in pure mathematics was the solution of the Delian ...
Σελίδα 33
... principles of mathematical reasoning . There is no doubt that before the time of Plato there was considerable laxity in the modes of demonstration . In particular , it seems to have sometimes been assumed that if a proposition is true ...
... principles of mathematical reasoning . There is no doubt that before the time of Plato there was considerable laxity in the modes of demonstration . In particular , it seems to have sometimes been assumed that if a proposition is true ...
Σελίδα 36
... principle , that the object of the teacher is " not to communicate instruc- tion , but to lead to the spontaneous discovery of it . " Let us fortify this assertion by a short quotation from one 2 who had no such object in view as we ...
... principle , that the object of the teacher is " not to communicate instruc- tion , but to lead to the spontaneous discovery of it . " Let us fortify this assertion by a short quotation from one 2 who had no such object in view as we ...
Σελίδα 37
... principle of sound research , that their being should become identified with it ; and this principle he found embodied in geometry . Thus , if we had the prospect of being introduced to a perfect specimen of the result of Plato's ...
... principle of sound research , that their being should become identified with it ; and this principle he found embodied in geometry . Thus , if we had the prospect of being introduced to a perfect specimen of the result of Plato's ...
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.