 | 1867 - 336 pàgines
...and the least straight lines that can be drawn touching the former, and terminated by the latter. 3. The angle at the centre of a circle is double the angle at the circumference upon the same base, ie, upon the same part of the circumference. If any three points ABE, be taken... | |
 | Charles Astor Bristed - 1852 - 470 pàgines
...double the squares of the half-line and the line made up of the half-line and the part produced. 10. The angle at the centre of a circle is double the angle at the circumference, upon the same base. 11. The angle between a tangent and any chord, is equal to the angle in the alternate... | |
 | George Ticknor Curtis - 1854 - 718 pàgines
...triangle, the square of the hypothenuse is equal to the sum of the squares of the opposite sides ; that the angle at the centre of a circle is double the angle at the circumference ; or that similar triangles arc to each other in the duplicate ratio of their homologous sides. The... | |
 | Cambridge univ, exam. papers - 1856 - 252 pàgines
...point which is the common vertex of two equal triangles having the given lines for their bases. 3. The angle at the centre of a circle is double the angle at the circumference upon the same base. If a circle touch internally another of twice the diameter, and from the centre... | |
 | W. Davis Haskoll - 1858 - 422 pàgines
...diameter, and of all others, that which is nearer the centre is always greater than that more remote. The angle at the centre of a circle is double the angle at the circumference, upon the same base, or upon the same arc of the circle. The angles in the same segment of a circle... | |
 | Anthony Nesbit - 1859 - 494 pàgines
...9. All angles formed In the same segment of a circle, or standing on the same arc, are equal. 10. An angle at the centre of a circle is double the angle at the circumference, if both stand on the same base. 11. Any angle in a semicircle is a right angle. 12. The angle formed... | |
 | Alfred Wilks Drayson - 1861 - 236 pàgines
...therefore be at the intersection of the two. This problem depends upon the fact, that upon the same base the angle at the centre of a circle is double the angle at the circumference. Suppose the angle APB to have been 40°, BPC 30°, the double of APB would be 80°, then 180°— 80°=100°.... | |
 | War office - 1861 - 260 pàgines
...geometrical progression. Hence prove the rule for turning a recurring decimal into a vulgar fraction. 7. The angle at the centre of a circle is double the angle at the circumference upon the same base, that is upon the same part of the circumference. 8. In a right angled triangle,... | |
 | S. M. Saxby - 1861 - 140 pàgines
...propositions, besides definitions, axioms, and postulates, repetitions, &c.). 23. Euc. III. Prop. XX. — The angle at the centre of a circle is double the angle at the circumference upon the same base, that is, upon the same part of the circumference. In the triangle ADC, the side... | |
 | S. M. Saxby - 1862 - 200 pàgines
...propositions, besides definitions, axioms, and postulates, repetitions, &c.) *27. Euc. III. Prop. XX.— The angle at the centre of a circle is double the angle at the circumference upon the same base, that is, upon the same part of the circumference. GEOMETRICAL THEOREMS. EDA equals... | |
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The angle at the centre of a circle is double the angle at the circumference on the same arc. 
