The English intelligence in particular shows itself as a rule congenitally incapable of appreciating the superior logical certitude of the deductive method. Englishmen will not even believe that the square on the hypotenuse is equal to the squares on... Charles Darwin - Page 62by Grant Allen - 1885 - 206 pagesFull view - About this book
| Thomas Perronet Thompson - 1842
...battalions, must arise from other sources. So all the algebraists in the world cannot create the fact **that the square on the hypotenuse is equal to the squares on the** other sides ; they can only make useful observations on the fact when it is known. Hence in th; whole... | |
| William Whewell - Ethics - 1846 - 205 pages
...established by reasoning. It is a Fact that two straight lines cannot inclose a space;—it is a Fact **that the square on the hypotenuse is equal to the squares on the** two sides;—it is a Fact that, in Mechanics, what we gain in power we lose in time;—it is a Fact... | |
| Sir Norman Lockyer - Electronic journals - 1886
...one passage, he says: — "The English intelligence in particular shows itself as a rule congenially **incapable of appreciating the superior logical certitude...selected pieces of rudely shaped rectangular paper."** Now, it is easy to sustain the doctrine here implicated with examples drawn from Euclid ; but biology... | |
| Science - 1886
...and inductive methods, Mr. Allen appears to us behind the age. To quote only one passage, he says:— **"The English intelligence in particular shows itself...selected pieces of rudely shaped rectangular paper.''** Now, it is easy to sustain the doctrine here implicated with examples drawn from Euclid ; but biology-... | |
| Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - Mathematics, Greek - 1908
...sacrificed. This is indeed unquestionably more subtle and more scientific than the theorem which demonstrated **that the square on the hypotenuse is equal to the squares on the** sides about the right angle " (Symp. vin. 2, 4). The story of the sacrifice must (as noted by Bretschneider... | |
| Jay Hambidge - Design - 1920 - 161 pages
...construction which would be equivalent to the forty-seventh proposition of the first book of Euclid. That is, **that the square on the hypotenuse is equal to the squares on the** two legs of a right-angled triangle. It is noteworthy that here the hypotenuse is called the diagonal... | |
| James Andrew Corcoran, Patrick John Ryan, Edmond Francis Prendergast - 1893
...the deductive method. Englishmen will not even believe that the square on the hypothenuse is equal tp **the squares on the containing sides until they have...selected pieces of rudely shaped rectangular paper."** Mr. Romanes glories in it : " If any one truth more than another is necessarily and forcibly brought... | |
| A. Szabó - History - 1978 - 358 pages
...sacrificed. This is indeed unquestionably more subtle and scientific than the theorem which demonstrated **that the square on the hypotenuse is equal to the squares on the** sides about the right angle."1* (3) I cannot conclude this account of the elements of the Pythagorean... | |
| Gottfried Wilhelm Freiherr von Leibniz - Philosophy - 1982 - 1 pages
...repetition. If some analyst wanted to do his calculations without assuming these two geometrical maxims: **The square on the hypotenuse is equal to the squares on the** two sides of the right angle, and The corresponding sides of similar triangles are proportional to... | |
| René Descartes, John Cottingham - Philosophy - 1985 - 444 pages
...clearly and distinctly understand that a triangle in a semi-circle is right-angled without being aware **that the square on the hypotenuse is equal to the squares on the** other two sides, we cannot have a clear understanding of a triangle having the square on 115 its hypotenuse... | |
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