| Thomas Jay Evans, William Wade Fitzherbert Pullen - Geometry, Plane - 1897 - 420 pages
...will contain an angle, QDR, equal to the angle adc. Hence, the locus of D is a circle.' Describe on QR **a segment of a circle which shall contain an angle equal to** adc = 40°. Similarly, the locus of A is the circle QAP, whose segment, QAP, contains an angle equal... | |
| Charles Austin Hobbs - Geometry, Plane - 1899 - 266 pages
...chord is equal to the angle inscribed in the opposite segment. Proposition 13O. Problem: 163. Upon **a given straight line, to describe a segment of a circle which shall contain** a given angle. To describe a segment on AB such that any Z inscribed in it shall be equal to Z m. Construction.... | |
| Manitoba. Department of Education - Education - 1900 - 558 pages
...the circle in E, F, G, H, respectively ; prove that the chords EG, FH intersect at right angles. 8. **On a given straight line to describe a segment of...which shall contain an angle equal to a given angle.** Construct a triangle having given the base, the vertical angle, and the sum of the remaining sides.... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...A/ E XB u D\ Let AB be the given st. line, and C the given angle. It is required to describe on AB **a segment of a circle which shall contain an angle equal to** C. Construction. At A in BA, make the L BAD equal to the L CI 23. From A draw AE at rt. angles to AD.... | |
| University of Toronto - 1901 - 1192 pages
...contained by the whole line and one part shall be equal to the square on the other part. (Eue. II, 11.) 2. **On a given straight line to describe a segment of...which shall contain an angle equal to a given angle.** (Eue. Ill, 88.) 3. To circumscribe a square about a given circle. (Eue. IV, 7.) 4. To circumscribe... | |
| Edward Brooks - 1901 - 278 pages
...; therefore the circle will be inscribed in the triangle. QEF PROPOSITION XVIII. — PROBLEM. Upon **a given straight line to describe a segment of a circle which shall contain** a given angle. Let AB be the given straight line, and M the given angle. It is required to describe... | |
| James McMahon - Geometry, Plane - 1903 - 380 pages
...APPLICATIONS OF THEOREM 28 77. PROBLEM 4. On a given line, to describe a segment of a circle containing **an angle equal to a given angle. Let AB be the given** line, and C the given angle. To describe on AB a segment of a circle containing an angle equal to C.... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...angle. HH D\ Let AB be the given st. line, and C the given angle. It is required to describe on AB **a segment of a circle which shall contain an angle equal to** C. Construction. At A in BA, make the L BAD equal to the LCI 23. From A draw AE at rt. angles to AD.... | |
| Isaac Newton Failor - Geometry - 1906 - 440 pages
...277 .-. PH and PK are tangents. § 252 PLANE GEOMETRY — BOOK II PROPOSITION XXX. PROBLEM 304 Upon **a given straight line, to describe a segment of a circle which shall contain** a given angle. DATA. AB is a straight line, and K is a given angle. REQUIRED. To describe a segment... | |
| Isaac Newton Failor - Geometry - 1906 - 431 pages
...semicircle is a rt. Z." § 277 .-. PH and PK are tangents. § 252 PROPOSITION XXX. PROBLEM 304 Upon **a given straight line, to describe a segment of a circle which shall contain** a given angle. DATA. AB is a straight line, and K is a given angle. REQUIRED. To describe a segment... | |
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