| Euclides, Thomas Tate - 1849 - 108 páginas
...AD, DC ; the angle in the semicircle BAC is a right angle; and the angle in the segment ABC, which is **greater than a semicircle, is less than a right angle,; and the angle in** the segment ADC, which is less than a semicircle, is greater than a right angle. Join AE, and produce... | |
| 1850
...centre are equal to each other. • ,. In a circle, the angle in a semicircle is a right angle; but **the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle.** 6. To describe an isosceles triangle, having each of the angles at the base double of the third angle.... | |
| 1850
...Mention the corollary to this theorem. 2. In a circle, the angle in a semicircle is a right angle; but an **angle in a segment greater than a semicircle is less...less than a semicircle is greater than a right angle.** 3. Similar triangles are to one another in the duplicate ratio of their homologous sides. SECTION II.—Solve... | |
| Her MAjesty' Inspectors of schools - 1850
...a triangle is bisected by tbe straight Uac 4 from the vertex bisecting the base of the triangle. 7. **The angle in a segment greater than a semicircle is less than a right angle** — 1 it ; and find the atea of a segment of a circle containing 60°, whose radiui it 10 8. The two... | |
| Great Britain. Committee on Education - 1850
...triangle is bisected by the straight line drawn from the vertex bisecting the base of the triangle. 7. **The angle in a segment greater than a semicircle is less than a right angle.** — Prove it ; and find the area of a segment of a circle containing 60°, whose radius is 10 feet.... | |
| Harvey Goodwin - 1851 - 173 páginas
...equal to the square, find the other side. 3. In a circle, the angle in a semicircle is a right angle ; **the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle.** The greatest rectangle that can be inscribed in a circle is a square. 4. Cut off a segment from a given... | |
| ...circle of which it is the segment. 3. In a circle, the angle in a semicircle is a right angle ; but **the angle in a segment greater than a semicircle is less than a right angle ; and** t'ne right angle in a segment less than a semicircle is greater than a right angle. State the converse... | |
| Sir Henry Edward Landor Thuillier - 1851 - 718 páginas
...each other or they are all measured by hp1P the arc they stand on, viz. by half the arc AB. Cor. 3. An **angle in a segment greater than a semicircle is less than a right angle;** thus ADB is measured by half the arc AB, but as the arc AB is less than a semi-circle, the arc AB or... | |
| Charles Astor Bristed - 1852
...the same part of the circumference. 5. In a circle, the angle in a semicircle is a right angle ; but **the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle.** 6. If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other sides,... | |
| Euclides - 1853
...AD, DC: the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is **greater than a semicircle, is less than a right angle ; and the angle in** the segment ADC, which is less than a semicircle, is greater than a right angle. 3omAE, and produce... | |
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