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" The angle at the centre of a circle is double the angle at the circumference on the same arc. "
Elementary Plane Geometry: Inductive and Deductive - Página 86
por Alfred Baker - 1903 - 144 páginas
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A Treatise on the Law of Patents for Useful Inventions in the United States ...

George Ticknor Curtis - 1854 - 686 páginas
...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...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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...
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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 324 páginas
...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...
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A Treatise on Practical Mensuration

Anthony Nesbit - 1859 - 450 páginas
...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...
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The Projection and Calculation of the Sphere for Young Sea Officers Being a ...

S. M. Saxby - 1861 - 112 páginas
...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...
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Practical Military Surveying and Sketching: With the Use of the Compass and ...

Alfred Wilks Drayson - 1861 - 192 páginas
...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°....
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Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...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,...
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Study of Steam and the Marine Engine for Young Sea Officers in H.M. Navy ...

S. M. Saxby - 1862 - 179 páginas
...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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A Treatise on Surveying: In which the Theory and Practice are Fully ...

Samuel Alsop - 1865 - 428 páginas
...angled triangle is equal to the sum of the similar figures similarly described on the sides. (31.6.) 83. The angle at the centre of a circle is double the angle at the circumference on the same base. Thus, the angle at 0 (Fig. 11) is double e'ther D or E. (20.3.) 84. Angles in the...
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Report on Education in the Parochial Schools of the Counties of Aberdeen ...

Simon Somerville Laurie - 1865 - 401 páginas
...produced, what change ought, from the nature of the case, to be made in the enunciation? 4. The angle ut the centre of a circle is double the angle at the circumference. Assuming that there is no limitation as to the magnitude of an angle, deduce from this proposition,...
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