 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, it is easy to arrive at the theorem we have in view.  Elements of Geometry: With Notes - Σελίδα 165των John Radford Young - 1827 - 208 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | John Muller - 1769 - 152 σελίδες
...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 angles. B 3 7.... | |
 | Paul Hoste - 1769 - 294 σελίδες
...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 ABC is fhorter... | |
 | John Muller - 1773 - 202 σελίδες
...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 angles. B 3 7.... | |
 | 1810 - 578 σελίδες
...entirely overcome. Now, the theorem just mentioned would be easily demonstrated, if we had proved, when two angles of one triangle are equal to two angles of another, that the third angks are also equal, whatever may be the inequality of the bases, or of the triangles... | |
 | Adrien Marie Legendre - 1819 - 574 σελίδες
...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 two triangles... | |
 | Adrien Marie Legendre - 1822 - 394 σελίδες
...to a number ; which is absurd : hence p cannot enter into the function p, and we have simply C = f : (A, B)." This formula already proves, that if two...angle of the former must also be equal to the third of the latter ; and this granted, it is easy to arrive at the theorem we have in view. First, let ABC... | |
 | John Playfair - 1822 - 552 σελίδες
...tirely overcome. Now, the theorem just mentioned would be easily demonstrated, if we had proved, whe.n two angles of one triangle are equal to two angles of another, that the third angles are also equal, whatever may be the inequality of the basis, or of the triangles... | |
 | John Playfait - 1822 - 550 σελίδες
...tirely overcome. Now, the theorem just mentioned would be easily demonstrated, if we had proved, when two angles of one triangle are equal to two angles of another, that the third angles are also equal, whatever may be the inequality of the basis, or of the triangles... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 280 σελίδες
...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 two triangles... | |
 | Adrien Marie Legendre, John Farrar - 1825 - 294 σελίδες
...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 two triangles... | |
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