 | Benjamin Greenleaf - Geometry - 1873 - 202 pages
...by half the circumference ; hence their sum is equal to two right angles. THEOREM XI. 165. The angle formed by the intersection of two chords is measured by half the sum of the two intercepted arcs. Let the two chords AB, CD intersect each other at the point E ; then will the... | |
 | Benjamin Greenleaf - Geometry - 1874 - 206 pages
...by half the circumference ; hence their sum is equal to two right angles. THEOREM XI. 165. The angle formed by the intersection of two chords is measured by half the sum of the two intercepted arcs. Let the two chords AB, CD inter- AC sect each other at the point E ; then will... | |
 | Thomas Hunter - Geometry, Plane - 1878 - 142 pages
...CD; and, by addition, the angle ADC is measured by half DEC. PROPOSITION XIU.—THEOREM. The angle formed by the intersection of two chords is measured by half the sum of the two intercepted arcs. Let the two chords AB and CD intersect each other; then will the angle AHD be... | |
 | Evan Wilhelm Evans - Geometry - 1884 - 170 pages
...the centers of all the chords which can be drawn from D to points in the circumference? 26. The angle formed by the intersection of two chords is measured by half the sum of the arcs included by its sides. 27. A straight line bisecting the angle exterior to the vertical angle of an... | |
 | Anthony Nesbit - Measurement - 1859 - 482 pages
...15. Any two parallel chords in a circle intercept equal arcs. IG. An angle formed within a circle, by the intersection of two chords, is measured by half the sum of the two intercepted arcs. 17. An angle formed without a circle by two secants, is measured by half the... | |
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The angle formed by the intersection of two chords is measured by half the sum of the two intercepted arcs. Let the two chords AB, CD intersect each other at the point E ; then will the angle DEB, or its equal, AEC, be measured by half the two arcs DB... 
