 A', ZB = Z B', ZC = Z C". The first two statements cannot be true, for the sum of the angles of the two triangles would exceed four right angles. Therefore, two angles of one triangle are equal to two angles of the other.  Mathematics - Page 193by United States. Bureau of Naval Personnel - 1951Full view - About this book
 | John Muller - Mathematics - 1769 - 152 pages
...right angles, as being equal to the angles BCA, BCD, which are equal to two right angles, by Art. i. 6. If two angles of one triangle are equal to two angles of another, the third of the one, will alfo be equal to the third of the other, as they make up two right... | |
 | Paul Hoste - Mathematics - 1769 - 294 pages
...angles. 2. When therefore atrianglehasone angle right, Or obtufe, both the other angles muft be acute. 3. If two angles of one triangle are equal to two angles of another triangle, their third angles are alfo equal. . PRoP. XVIII. If the fide AB of the triangle... | |
 | John Muller - Mathematics - 1773 - 202 pages
...angles, as being equal to the angles BCA, BCD, which are equal to two right angles, by Art. i . 6. If two angles of one triangle are equal to two angles of another, the third of the one, will alfo be equal to the third of the other, as they make up two right... | |
 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...third will be known by subtracting the sum of these angles from two right angles. 74. Corollary n. If two angles of one triangle are equal to two angles of another triangle, each to each, the third of the one will be equal to the third of the other, and the... | |
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...cannot enter into the function p, and we have simply C = f : (A, B)." This formula already proves, that if two angles of one triangle are equal to two angles of another, the third angle of the former must also be equal to the third of the latter ; and this granted,... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...third will be known by subtracting the sum of these angles from two right angles. 74. Corollary n. If two angles of one triangle are equal to two angles of another triangle, each to each, the third of the one will be equal to the third of the other, and the... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...third will be known by subtracting the sum of these angles from two right angles. 74. Corollary 11. If two angles of one triangle are equal to two angles of another triangle, each to each, the third of the one will be equal to the third of the other, and the... | |
 | John Radford Young - Euclid's Elements - 1827 - 246 pages
...cannot enter into the function (p, and we have simply C = <p : (A, B). This formula already proves that if two angles of one triangle are equal to two angles of another, the third angle of the former must also be equal to the third angle of the latter ; and this... | |
 | Euclid, Dionysius Lardner - Euclid's Elements - 1828 - 542 pages
...cannot enter into the function 0, and we have simply C — 0: (A, B).* This formula already proves, that if two angles of one triangle are equal to two angles of another, the third angle of the former must also be equal to the third of the latter ; and this granted,... | |
 | Timothy Walker - Geometry - 1829 - 138 pages
...say that — each of the acute angles in a right triangle is a complement of the other — . 48. — If two angles of one triangle are equal to two angles of another, the remaining angles are equal — . For each is what remains after taking equal sums from... | |
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