 | Harvey Goodwin - 1851 - 196 σελίδες
...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... | |
 | Charles Astor Bristed - 1852 - 470 σελίδες
...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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...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,... | |
 | Euclides - 1853 - 176 σελίδες
.... . 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 σελίδες
...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,... | |
 | Thomas Lund - 1854 - 520 σελίδες
...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... | |
 | Euclides - 1855 - 270 σελίδες
...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... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...same part of the circumference. 13. 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. EUCLID (B). 1. DEFINE... | |
 | Peter Nicholson - 1856 - 518 σελίδες
...two right angles. THEOREM 37. 94. An angle ABD, in a semi-circle, is a right angle ; an angle BAD, in a segment greater than a semi-circle, is less than a right angle ; and an angle, BED, in a segment less than a semi-circle, is greater than a right angle. Produce AB... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...the point of contact. 10. In a circle, the angle in a semicircle is a right angle; bu.t the angle iii 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. 11. From a given... | |
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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. 
