 | Adrien Marie Legendre - Geometry - 1819 - 574 pages
...a given point to the same straight line, which is impossible (54). -. ' THEOREM. Fig;. 50. 102. In the same circle, or in equal circles, equal arcs are subtended by equal c/wrds, and conversely, equal chords subtend equal arcs. Demonstration. The radius AC (Jig. 50) being... | |
 | Adrien Marie Legendre - Geometry - 1822 - 394 pages
...from the same point to the same straight line, which is impossible (Prop. 16. I.). PROPOSITION IV. THEOREM. In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs. If the radii AC, EO are equal, and the arcs AMD,... | |
 | Adrien Marie Legendre - 1825 - 570 pages
...lines drawn from a given point to the same straight line. which is impossible (54). THEOREM. 102. In the same circle, or in equal circles, equal arcs are subtended by equal chords, and conversely, equal chords subtend equal arcs. Fig. so. Demonstration. The radius AC (fig. 50) being... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...lines drawn from a given point to the same straight line, which is impossible (54). THEOREM. 7 102. In the same circle, or in equal circles, equal arcs are subtended by equal chords, and conversely, equal chords subtend equal arcs. Fig. 50. Demonstration. The radius AC (fig. 50) being... | |
 | Adrien Marie Legendre, John Farrar - Geometry - 1825 - 294 pages
...lines drawn from a given point to the same straight lin which is impossible (54). THEOREM. 102. In the same circle, or in equal circles, equal arcs are subtended by equal chords, and conversely, equal chords subtend equal arcs. .Fig. 50. Demonstration. The radius AC (Jig. 50) being... | |
 | Adrien Marie Legendre - Geometry - 1828 - 346 pages
...drawn from the same point to the same straight line, which is impossible (54.). THEOREM. Ll 102. In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs. v If the radii AC, EO, are equal, and the arcs... | |
 | James Hayward - Geometry - 1829 - 218 pages
...equal angks at the centre are measured by equal arcs ; and equal arcs subtend equal angles. (2). In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and when, in the same circle, the chord. are equal, the arcs are equal. As the triangle would not... | |
 | Adrien Marie Legendre - Geometry - 1830 - 344 pages
...lines drawn from the same point to the same straight line, which is impossible (54.). THEOREM. 103. In the same circle, or in equal circles, equal arcs, are subtended by equal chorda ; and, conversely, equal chords subtend equal arcs. If the radii AC, EO, are equal, and the... | |
 | Adrien Marie Legendre - Geometry - 1836 - 394 pages
...same point to the same straight line, which is impossible (Book I. Prop. XV. Cor. 2.). PROPOSITION IV. THEOREM. In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs. Kate. When reference is made from one proposition... | |
 | Adrien Marie Legendre - Geometry - 1837 - 376 pages
...same straight line, winch is impossible (Book I. Prop. XV. C«r. 2.). PROPOSITION IV. THEOREM. In ihe same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs Note. When reference is made from one proposition... | |
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In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs. 
