Euclid, His Life and SystemCharles Scribner's sons, 1902 - 227 σελίδες |
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Σελίδα
... Geometry " in the series , I did not see my way at the outset to do so , first , owing to the difficulty of getting any one to undertake the subject under the limitations of space necessarily imposed ; and , second , owing to the doubt ...
... Geometry " in the series , I did not see my way at the outset to do so , first , owing to the difficulty of getting any one to undertake the subject under the limitations of space necessarily imposed ; and , second , owing to the doubt ...
Σελίδα 1
... geometry formed an epoch in the history of Europe , and consequently of the world ; lastly , it may not be out of place to hazard a forecast as to the future cultivation of the science , and to consider how far its development is to be ...
... geometry formed an epoch in the history of Europe , and consequently of the world ; lastly , it may not be out of place to hazard a forecast as to the future cultivation of the science , and to consider how far its development is to be ...
Σελίδα 5
... geometry respectively . But here the accordance ends . Seven cities have contended for the honour of having given birth to the poet ; whereas it does not appear that any city , town , village , hamlet , villa , or cottage has advanced ...
... geometry respectively . But here the accordance ends . Seven cities have contended for the honour of having given birth to the poet ; whereas it does not appear that any city , town , village , hamlet , villa , or cottage has advanced ...
Σελίδα 7
... geometry . " The former word was presumably derived from kleis . I can only explain the meaning assigned to dis by the conjecture that , as the Pythagoreans said that the number two symbolised a line , possibly a Schoolman may have ...
... geometry . " The former word was presumably derived from kleis . I can only explain the meaning assigned to dis by the conjecture that , as the Pythagoreans said that the number two symbolised a line , possibly a Schoolman may have ...
Σελίδα 9
... geometry before and up to Euclid's days ; the execution and exhibition of a sketch of the history of pre - Euclidean geometry . This part of our task is much facilitated by the recent publication of two books , which contain in brief ...
... geometry before and up to Euclid's days ; the execution and exhibition of a sketch of the history of pre - Euclidean geometry . This part of our task is much facilitated by the recent publication of two books , which contain in brief ...
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.