 | Her MAjesty' Inspectors of schools - 1850 - 912 pages
...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... | |
 | 1850 - 400 pages
...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 right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 6. To describe an... | |
 | 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...AB, but as the arc AB is less than a semi-circle, the arc AB or the angle ADB is less than half a semicircle, and consequently less than a right angle.... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...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 right angle ; and the angle in a segment less than a semicircle is greater than a right angle. The greatest rectangle... | |
 | 582 pages
...the angle in a segment of a circle. Prove that the angle in a semicircle is a right angle, whilst 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, H>. Inscribe .1 circle... | |
 | Charles Astor Bristed - 1852 - 470 pages
...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 right angle : and the angle in a segment less than a semicircle is greater than a right angle. 6. If a straight... | |
 | Euclides - Geometry - 1853 - 176 pages
.... . PROPOSITION XXXI. — THEOREM. 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 the angle in a segment less tJian a semicircle is greater than a right angle. LET abcd be a circle,... | |
 | Euclides - 1853 - 146 pages
...be done. PROP. XXXI. — THEOREM. 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 the angle in a segment less than a semicircle is greater than a right angle. Let ABCD be a circle,... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...be done. PROPOSITION XXXI. THEOU. 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 the angle in a segment less than a semicircle is greater than a right angle. Let ABCD be a circle,... | |
 | 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... | |
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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. 
