| Joseph Parrish Thompson - 1860 - 382 pages
...such a fact does not admit of absolute demonstration. A mathematical demonstration — such as that **the three angles of a triangle are together equal to two right angles** — does not admit the possibility of a doubt. But moral and metaphysical subjects do not admit of... | |
| Royal college of surgeons of England - 1860 - 332 pages
...these shall be less than the other two sides of the triangle, but shall contain a greater angle. . 5. **The three angles of a triangle are together equal to two right angles** ; and all the angles of any rectilineal figure, together with four right angles, are equal to twice... | |
| Andrew Jackson Moulder - 1862 - 32 pages
...amount of reasoning could convince us of these facts. But none of our senses could satisfy us that **the three angles of a triangle are together equal to two right angles.** There are two modes of reasoning, so called, the distinction between which is clearly marked, and should... | |
| Euclides - 1862 - 140 pages
...equilateral; 4. Therefore the three angles, EGD, GDE, DEG, are equal to one another. (I. 5 cor.) 5. But **the three angles of a triangle are together equal to two right angles;** (I. 32.) 6. Therefore the angle EGD is the third part of two right angles. 7. In the same manner it... | |
| Thomas Hill - 1863 - 136 pages
...right angles. CHAPTER III. REASONING. 21. SUPPOSE that we wished to make another person believe that **the three angles of a triangle are, together, equal to two right angles.** One way of convincing him would be to take a triangular piece of card, or of paper, cut off the corners... | |
| Henry White - 1864 - 156 pages
...meant by a corollary? State and prove the corollaries to the proposition in which it is proved that **the three angles of a triangle are together equal to two right angles.** 4. If a straight line be divided into any two parts, the square of the whole line is equal to the squares... | |
| Dugald Stewart - 1864 - 206 pages
...constitution as the equality of the three angles of a triangle to two right angles" (§.200.). That **the three angles of a triangle are together equal to two right angles** is a truth to all intelligences, is a truth to God. That love is good, that cruelty is bad, is in like... | |
| James McCosh - 1865 - 522 pages
...inhabited, even this is not a primary conviction ; we believe it because of secondary testimony. Nay, that **the three angles of a triangle are together equal to two right angles,** is not a primitive judgment, for it needs other truths coming between to carry our conviction. But... | |
| William Thomas Brande, George William Cox - 1865 - 978 pages
...considered generally, and without restriction to any individual magnitude. Thus, the proposition that **the three angles of a triangle are together equal to two right angles,** is an abstract truth, applying equally to all triangles whatsoever. Abstract Mathematics is opposed... | |
| Euclid, Isaac Todhunter - 1867 - 424 pages
...equilateral ; therefore the three angles EGD, GDE, DEG are equal to one another. [I. 5. Corollary. But **the three angles of a triangle are together equal to two right angles** ; [I. 32. therefore the angle EGD is the third part of two right angles. In the same manner it may... | |
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