 | J. Stevenson Bushnan - 1854 - 268 pages
...that things which are doubles or halves of the same, are equal to one another; that twice four are eight; and that when two are taken from four two remain....involve a contradiction. The intuitive truths which are not necessary truths, are such convictions as the belief in an external world, and in the free... | |
 | John Stevenson Bushnan - Physiology - 1854 - 248 pages
...that things which are doubles or halves of the same, are equal to one another; that twice four are eight; and that when two are taken from four two remain....which, or a greater or less deviation from which, does not involve a contradiction. The intuitive truths which are not necessary truths, are such convictions... | |
 | Science - 1874 - 806 pages
...truth of the proposition postulated. If, setting out with the axioms of Euclid, we deduce the truths that "the angle in a semicircle is a right angle," and that " the opposite angles of any quadrilateral figure described in a circle are together equal to two right... | |
 | Samuel H. Winter - 1877 - 452 pages
...satisfied , A A' A" , , . , when _=—=—, and explain why. 12. Prove by means of the equation to a circle that the angle in a semicircle is a right angle, and that the angle in a segment greater than a semicircle is less than a right angle. 13. Find the equation... | |
 | Herbert Spencer - Philosophy - 1892 - 500 pages
...truth of the proposition postulated. If, setting out with the axioms of Euclid, we deduce the truths that "the angle in a semicircle is a right angle," and that " the opposite angles of any quadrilateral figure described in a circle, are together equal to two... | |
 | Herbert Spencer - Philosophy - 1910 - 470 pages
...truth of the proposition postulated. If, setting out with the axioms of Euclid, we deduce the truths that "the angle in a semicircle is a right angle," and that " the opposite angles of any quadrilateral figure de>cribed in a circle, are together equal to two... | |
 | Newfoundland Council of Higher Education - 1915 - 232 pages
...of any quadrilateral inscribed in a circle are together equal to two right angles. (12) 6 b. Prove that the angle in a semicircle is a right angle, and that the angle in a segment of a circle which is greater than a semicircle is less than a right angle. (12)... | |
 | Sir Thomas Little Heath - Mathematics - 1921 - 474 pages
...III. 26-9 would obviously be known to Hippocrates 1 Plato, Timaeus, 32 A. u. as was that of III. 31 (that the angle in a semicircle is a right angle, and that, according as a segment is less or greater than a semicircle, the angle in it is obtuse or acute). He... | |
 | Sir Thomas Little Heath - Mathematics - 1921 - 482 pages
...III. 26-9 would obviously be known to Hippocrates 1 Plato, Timaeus, 32 A, B. as was that of III. 31 (that the angle in a semicircle is a right angle, and that, according as a segment is less or greater than a semicircle, the angle in it is obtuse or acute!. He... | |
 | René Descartes - Philosophy - 1997 - 436 pages
...essence. I shall explain by means of an example — Let us assume that a certain man is quite sure that the angle in a semicircle is a right angle and that hence the triangle made by this angle and the diameter is right-angled; but suppose he questions and... | |
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... truth of a proposition postulated, by showing that the deductions from it are true, requires that the truth of the deductions shall be shown in some way that does not directly or indirectly assume the truth of the proposition postulated. If, setting... 