 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...square and one side of a rectangle which is equal to the square, find the other side. 3. In a circle, the angle in a semicircle is a right angle ; the angle...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... | |
 | 582 pages
...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 - Surveying - 1851 - 826 pages
...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 - 470 pages
...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 - Geometry - 1853 - 176 pages
...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... | |
 | Euclides - 1853 - 146 pages
...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... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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... | |
 | Euclides - Geometry - 1853 - 334 pages
...the point D. Which was to be done. PEOP. XXXI. THEOE. In a circle, the angle in a semicircle shall be a right angle ; the angle in a segment greater than a semicircle shall be less than a right angle ; and the angle in a segment less than a semicircle shall be greater... | |
 | Thomas Lund - Geometry - 1854 - 520 pages
...them must be a right angle. 54. PROP. VI. The 'angle in a segment' equal to a semi-circle is a right angle ; in a segment greater than a semi-circle is less than a right angle ; and in a segment less than a semi-circle is greater than a right angle. Let ABCD be a circle of which AB... | |
 | William Somerville Orr - Science - 1854 - 534 pages
...THEOREM. The angle (ВАС) in a semicircle (BADC) is a right angle : the angle in a segment (ABGC) greater than a semicircle, is less than a right angle : and the angle (D) in a segment (ADC) less than a semicircle, is greater than a right angle. From the centre, E, draw... | |
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... a circle. The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 
