 | Francis James Jameson - 1851 - 144 Seiten
...there are sides. 1850, (A). In a circle, the angle in a semicircle is a right angle, (in. 31.) (JJ). The greatest rectangle that can be inscribed in a circle is a square. Here (E) is a direct application of the fact asserted in (A). Let ABCD (fig. 9) be any rectangle inscribed... | |
 | Charles Astor Bristed - 1852 - 470 Seiten
...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 - 176 Seiten
...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 Seiten
...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 Seiten
...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... | |
 | Euclides - 1853 - 334 Seiten
...right angle. Hence the angle in the semicircle BAC is a right angle ; the angle in the segment ABC greater than a semicircle is less than a right angle ; and the angle ADC in the segment less than a semicircle is greater than a right angle. Which was to be proved. COB.... | |
 | Thomas Lund - 1854 - 520 Seiten
...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 - 1854 - 534 Seiten
...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... | |
 | Great Britain. Committee on Education - 1855 - 976 Seiten
...and if it cuts it at right angles it shall bisect it. 7. 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. 8. To inscribe a circle in a given square. ALGEBRA. — (SECOND SECTION.) 1. Add together — (a +... | |
 | Euclides - 1855 - 270 Seiten
...trisection of an angle. PROP. XXXI. THEOREM. 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 right angle ; and the anyle in a segment less than a semicircle is greater than a right angle. Let AB СD be a circle, of... | |
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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. 
