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 115by Edgar Hamilton Nichols - 1896 - 138 pagesFull view - About this book
| 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... | |
| 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... | |
| 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... | |
| 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... | |
| 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.... | |
| 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.... | |
| 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... | |
| 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... | |
| 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... | |
| 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.]... | |
| |