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" In general, any rectilinear figure, as ABC, is said to be inscribed in a circle, when its angular points are on the circumference; and the circle is then said to be circumscribed about the figure. An angle is said to be inscribed in a segment when its... "
Elementary and Constructional Geometry - Page 115
by Edgar Hamilton Nichols - 1896 - 138 pages
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Geometry - 1871 - 380 pages
...circumference; and the circle is then said to be circumscribed about the figure. An angle is said to be inscribed in a segment when its vertex is in the arc of the segment, and its sides pass through the extremities of the subtending chord. Thus, the angle BA C is inscribed in...
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A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - Mathematics - 1872 - 382 pages
...circumference; and the circle is then said to be circumscribed about the figure. An angle is said to be inscribed in a segment when its vertex is in the arc of the segment, and its sides pass through the extremities of the subtending chord. Thus, the angle BA C is inscribed in...
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Essentials of Geometry

Alfred Hix Welsh - Geometry - 1883 - 326 pages
...Inscribed Angle is an angle whose vertex is in the circumference, and whose sides are chords, as AB C. 7. An angle is inscribed in a segment when its vertex is in the arc of the segment, and when its sides pass through the extremities of the subtending chord. Thus, the angle ABC is inscribed in...
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Chauvenet's Treatise on Elementary Geometry

William Chauvenet, William Elwood Byerly - Geometry - 1887 - 331 pages
...circumference ; and the circle is then said to be circumscribed about the figure. An angle is said to be inscribed in a segment when its vertex is in the arc of the segment, and its sides pass through the extremities of the subtending chord. Thus, the angle BAG is inscribed in...
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Lessons in Geometry: For the Use of Beginners

George Anthony Hill - Geometry - 1888 - 202 pages
...outside the angle BAC. Draw AD. Apply Case 1. Subtract the results. THE CIRCLE. 3. When is an angle inscribed in a segment? When its vertex is in the arc of the segment, and its sides pass through the ends of the arc. 4. Make a segment, and inscribe in it three angles. 5....
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Lessons in Geometry: For the Use of Beginners

George Anthony Hill - Geometry - 1888 - 200 pages
...The centre 0 outside the angle BAG. Draw AD. Apply Case 1. Subtract the results. 3. When is an angle inscribed in a segment? When its vertex is in the arc of the segment, and its sides pass through the ends of the arc. 4. Make a segment, and inscribe in it three angles. 5....
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Elementary Geometry

William Chauvenet - 1893 - 340 pages
...circumference; and the circle is then said to be circumscribed about the figure. An angle is said to be inscribed in a segment when its vertex is in the arc of the segment, and its sides pass through the extremities of the subtending chord. Thus, the angle BAC is inscribed in...
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Plane Geometry

Edward Brooks - Geometry, Modern - 1901 - 278 pages
...angle whose vertex is in the circumference and whose sides are chords; as ABC in the next figure. 12. An angle is inscribed in a segment when its vertex is in the arc of the segment and its sides pass through the extremities of the arc. 13. A Polygon is inscribed in a circle when all...
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Elements of Plane Geometry

Alan Sanders - Geometry, Modern - 1901 - 260 pages
...part of a circle which is include^, between an arc and its chord. [ACB and ADB are both segments.] An angle is inscribed in a segment when its vertex is in the arc of the segment and its sides terminate in the extremities of that arc. 111 PROPOSITION XX. THEOREM 355. An inscribed angle...
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Elements of Plane and Solid Geometry

Alan Sanders - Geometry - 1903 - 396 pages
...that part of a circle which is included between an arc and its chord. [ACB and ADB are both segments.] An angle is inscribed in a segment when its vertex is in the arc of the segment and its sides terminate in the extremities of that arc. [/ ABC and Z.ADG are inscribed in the segment AmC.]...
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