 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...any triangle &« produced, tlie exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle, are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D : the exterior angle A CD shall... | |
 | Robert Potts - 1868 - 434 pages
...any triangle be produced, the exterior angle it equal to -the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides B Cbe produced to D. Then the exterior angle A CD... | |
 | James Martineau - 1868 - 444 pages
...13. Comp. Biese; Philosophic des Aristoteles, I. iii, 2. § 2. THEORY OF REASONING. 333 3 , The three angles of every triangle are together equal to two right angles, 4. The culprit at the bar was in Edinburgh at one o'clock on the day named. 5., The traveller had no money... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...of a triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. 2. In equal circles equal angles stand upon equal circumferences whether they be at the centres or... | |
 | Amos Dean - Civilization - 1869 - 550 pages
...to four. He is said to have discovered the three following geometrical theorems, viz : 1. That the interior angles of every triangle are together equal to two right angles. 2. That the only polygons which will till up the whole space about a given point are the equilateral... | |
 | James Smith - 1870 - 634 pages
...have seen this, for neither of them has given the corollary I have quoted ; but they both maintain, that the three interior angles of every triangle are together equal to two right angles. Well, then, is not an equilateral triangle, when inscribed to a circle, with all its angles touching... | |
 | Cambridge univ, exam. papers - 1870 - 272 pages
...any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are together equal to two right angles. The sides AS, AC of a triangle ABG are produced to E, F and the angles CBE, BCF are bisected by the... | |
 | Euclides - 1871 - 136 pages
...any triangle be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. J> Let ABC be a A , and let one of its sides, BC, be produced to D. Then will I. L ACD = L s ABC, BAC... | |
 | Popular educator - 1872 - 848 pages
...D c K, E c B together moke up the angle DCS, which is therefore equal to the angles c BA, BA c. 7. The three interior angles of every triangle are together equal to two right angles. In Fig. 5 the angle BCD has been shown to be equal to the angles c BA, BA c ; to each of these equala... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...any triangle le produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of every triangle are together equal to two right angles. Let ABC be a A , and let one of its sides, BC, be produced to D. Then ititt I. / ACD = LB ABC, BAC... | |
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If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles. 
