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" The diameter is the greatest straight line in a circle; and of all others, that which is nearer to the centre is always greater than one more remote; and the greater is nearer to the centre than the less. Let ABCD be a circle, of which... "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Side 31
av Euclides - 1861
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The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885
...in a circle ; and of the others, the chord (CD) which is nearer to the centre is greater than (EF) one more remote, and the greater is nearer to the centre than the less. Dem. — 1. Join OC, OD, OE, and draw the perpendiculars OG, OH ; then because O is the centre, OA...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - 1889
...equal to BC, shew that AC is divided in D so that the rectangle AC, AD is equal to the square on CD. 6. The diameter is the greatest straight line in a circle,...of all others that which is nearer to the centre is greater than one more remote. Two circles cut one another, through a point of intersection draw a straight...
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Examination Papers

University of Toronto - 1900
...the points of intersection is perpendicular to the line joining the centres of the two circles. 4. The diameter is the greatest straight line in a circle;...which is nearer to the centre is always greater than the more remote ; and the greater is nearer to the centre than the less. (III. 15.) 5. In equal circles,...
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Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

Eldred John Brooksmith - 1901
...rectilineal figure. 6. Prove that the diameter is the greatest straight line in a circle, and that, of all others, that which is nearer to the centre is always greater than one more remote. 7. Prove that the opposite angles of any quadrilateral figure inscribed in a circle are together equal...
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Calendar

University of Sydney - 1902
...angles A, C .... is equal to the sum of the alternate angles B, D 8. The diameter is the greatest chord in a circle ; and, of all others, that which is nearer...the centre is always greater than one more remote. A chord 12 inches in length is placed in a circle, the diameter of which is 1 3 inches in length. How...
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Calendar, Del 3

University of Calcutta - 1907
...the sqnare on half the line. Enunciate the Proposition corresponding to the algebraical formula 4. The diameter is the greatest straight line in a circle; and of all 8 others, that which is nearer to the centre is always greater than one more remote ; and the grenter...
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Annual Report of the Public Schools of the Province of British Columbia

British Columbia. Superintendent of Education - 1897
...intercepted between the perpendicular let fall on it from the opposite side and the acute angle. 4. The diameter is the greatest straight line in a circle,...the greater is nearer to the centre than the less. 5. If from any point without a circle two straight lines be drawn, one of which cuts the circle and...
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Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884
...that part, together with the square on the other part. 10. The diameter is the greatest straight Hue in a circle; and, of all others, that which is nearer...the greater is nearer to the centre than the less. Pass School. Group C. Euclid, Books IV— VI. 1. Define — ratio, compound ratio, ex aequali and reciprocal...
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Parliamentary Papers, Volum 43

Great Britain. Parliament. House of Commons - 1863
...the squares of two unequal lines, is equal to the rectangle contained by their sum and difference. 7. The diameter is the greatest straight line in a circle...the centre is always greater than one more remote. 8. The opposite angles of any quadrilateral figure inscribed in a circle are together equal to two...
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