 | Royal Military College, Sandhurst - 1890 - 144 Seiten
...nature of the contact, when the given straight line (i) falls without, (2) cuts the given circle ? 3. The angle at the centre of a circle is double of the angle at the circumference on the same base, ie on the same part of the circumference. If two straight lines AEB,... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 Seiten
...circumference intercepted between the straight lines which contain the angle. PROPOSITION 20. THEOREM. The angle at the centre of a circle is double of the angle at the circumference upon the same base, ie upon the same part of the circumference. Let ABC be a 0, BEC an... | |
 | Queensland. Department of Public Instruction - 1890 - 526 Seiten
...half the line bisected, and of the square on the line made up of the half and the part produced. 7. The angle at the centre of a circle is double of the 8 angle at the circumference upon the same base, that is, upon the same part of the circumference.... | |
 | 1897 - 154 Seiten
...adjacent sides of a rectangle and a square equal to it in area, construct the rectangle. 3. Shew that an angle at the centre of a circle is double of the angle at the circumference cn the same arc. Deduce that all angles in the same segment of a circle are equal to... | |
 | Saskatchewan. Department of Education - 1906 - 188 Seiten
...your figures to (a) and (6) corresponds to the two values of x found in solving the quadratic ? 5. (a) The angle at the centre of a circle is double of the angle at the circumference on the same arc. III. 20. (6) What is meant by a re-entrant angle.? Prove that III. 20... | |
 | Trinity College (Dublin, Ireland) - 1912 - 624 Seiten
...the lines are parallel. 5. Show how to construct a square equal in area to a triangle. 6. Prove that the angle at the centre of a circle is double of the angle at the circumference standing on the same arc, and deduce a property of a quadrilateral inscribed in a circle.... | |
 | Squire Thornton Stratford Lecky - 1918 - 966 Seiten
...each circle ; and S stands for ship. Remember — for upon this it all hinges — that Euclid says " The angle at the centre of a circle is double of the angle at the circumference upon the same base." But though allusion is made to angles, there is no intention of... | |
 | British Columbia. Superintendent of Education - 1897 - 710 Seiten
...quarter of the triangle. 3. Describe a square that shall be equal to a given rectilinear figure. 4. The angle at the centre of a circle is double of the angle at the circumference, subtended by the same arc. 5. (a.) Describe a circle which shall touch three given straight... | |
 | University of St. Andrews - 1896 - 610 Seiten
...a volume of 1 cubic foot. What is its volume when the pressure is 20 and the temperature 200? B. 8. The angle at the centre of a circle is double of the angle at the circumference subtended by the same arc. Prove that if two circles touch each other externally, and... | |
 | Great Britain. Parliament. House of Commons - 1861 - 588 Seiten
...in the circumference of a circle the straight line which joins them shall fall within the circle. 9. The angle at the centre of a circle is double of the angle at the circumference upon the same base. 10. If a straight line touch a circle and from the point of contact... | |
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The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference. 
