 | Education - 1905 - 668 pages
...satisfactorily by a fair number, but in many cases the reasoning was very loose and faulty. The proposition that the angles of a triangle are together equal to two right angles was done very well indeed by the majority of those who used Euclid's proof, or a similar one ; and,... | |
 | Charles Arthur Mercier - Criminal liability - 1905 - 240 pages
...rise or fall, or that John will marry Jane, or that Lord Burleigh was a sagacious statesman, or that the angles of a triangle are together equal to two right angles, or that Socialism is spreading among the workmen of Germany, or what not. The defect that I have called... | |
 | English language - 1905 - 644 pages
...too much to study. None of the invaders were captured. His remains were buried yesterday. The three angles of a triangle are together equal to two right angles. The most quieting news have been received. Now, the question whether these sentences are correct or not... | |
 | David George Ritchie - Ethics - 1905 - 384 pages
...propositions. " All the books on this shelf are bound in calf" is a judgment of a different type from "The angles of a triangle are together equal to two right angles." 1 The ignoring of this distinction is the chief thing which has exposed 1 Aristotle drew the distinction... | |
 | Joseph Dietzgen - Dialectical materialism - 1906 - 460 pages
...valley between two mountains, that gold is not sheet iron, that the part is smaller than the whole, that the angles of a triangle are together equal to two right angles, that circles are round, that water is wet, that fire is hot, etc., these are things of which we know... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...obvious by simple inspection to any one who knows the property referred to" (iniiva is the property that the angles of a triangle are together equal to two right angles, mentioned two lines before). That is to say, the angle at the middle point of the circumference of... | |
 | John Marcus O'Sullivan - Pragmatism - 1909 - 340 pages
...always baffled every attempt to prove them. It has, for example, been forced to assume either that the angles of a triangle are together equal to two right angles, or that through the same point one, and not more than one, parallel can be drawn to any given straight... | |
 | University of South Africa - Universities and colleges - 1913 - 768 pages
...parallel to two other straight lines, the corresponding angles at the points of intersection are equal. The angles of a triangle are together equal to two right angles. The exterior angle of a triangle is equal to the two interior and opposite angles. Congruency: If two triangles... | |
 | George Ballard Mathews - Geometry, Projective - 1914 - 368 pages
...the segments in which the sides of a triangle are divided by any transversal, (ii) the theorem that the angles of a triangle are together equal to two right angles, have the property that each can be deduced from the other by projection and dualisation. (Art. 287.)... | |
 | George Frederick Stout - Jungian psychology - 1918 - 328 pages
...particular is not enough ; we must contra-distinguish identity from differences. If we follow the proof that the angles of a triangle are together equal to two right angles, in the case of a particular triangle, this particular one is for us representative of all others, because,... | |
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Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles... 
