Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" In the same circle, or in equal circles, equal arcs are subtended by equal chords ; and, conversely, equal chords subtend equal arcs. "
Elements of Geometry - Page 24
by Adrien Marie Legendre - 1825 - 224 pages
Full view - About this book

Elements of Geometry

Adrien Marie Legendre - Geometry - 1819 - 574 pages
...drawn from 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...
Full view - About this book

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1822 - 394 pages
...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...and, conversely, equal chords subtend equal arcs. If the radii AC, EO are equal, and the arcs AMD, ENG ; then the chord AD will be equal to the chord...
Full view - About this book

Elements of Geometry...: Translated from the French for the Use of the ...

Adrien Marie Legendre, John Farrar - Geometry - 1825 - 280 pages
...straight 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...The radius AC (fig. 50) being equal to the radius £0, and the arc AMD equal to the arc ENG ; the chord AD will be equal to the chord EG. For, the diameter...
Full view - About this book

Elements of Geometry

Adrien Marie Legendre - 1825 - 570 pages
...straight 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...conversely, equal chords subtend equal arcs. Fig. so. Demonstration. The radius AC (fig. 50) being equal to the radius EO, and the arc AMD equal to the...
Full view - About this book

Elements of Geometry and Trigonometry: With Notes

Adrien Marie Legendre - Geometry - 1828 - 346 pages
...straight lines 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...and, conversely, equal chords subtend equal arcs. v If the radii AC, EO, are equal, and the arcs AMD, ENG ; then the chord AD will be equal to the chord...
Full view - About this book

Elements of Geometry Upon the Inductive Method: To which is Added an ...

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 be changed...
Full view - About this book

Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - Geometry - 1830 - 584 pages
...another. And, in like manner, the converse. Therefore, &c. Cor. 1. (Eue. iii. 28 and 29.) In the same or in equal circles, equal arcs are subtended by equal chords ; and conversely (11. Cor.). Cor. 2. By a similar demonstration it may be shown that in the same or in equal circles,...
Full view - About this book

Elements of Geometry and Trigonometry: With Notes

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...
Full view - About this book

Library of Useful Knowledge: Geometry plane, solid, and spherical [by Pierce ...

Mathematics - 1835 - 684 pages
...another. And, in like manner, the converse. Therefore, &c. Cor. 1. (Eue. iii. 28 and 29.) In the same or in equal circles, equal arcs are subtended by equal chords ; and conversely (11. Cor.). Cor. 2. By a similar demonstration it may be shown that in the same or in equal circles,...
Full view - About this book

Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1836 - 394 pages
...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...and, conversely, equal chords subtend equal arcs. Kate. When reference is made from one proposition to another, in th« ! Book, the number of the proposition...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF