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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 Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...circle passes through all the points of bisection and touches them at these points, PROP. XV. THEOREM. The diameter is the greatest straight line in a circle...all others. that which is nearer to the centre is greater than one more remole : and the greater is nearer to the centre than the ¡ess. Let AB СD be...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...CG and AF to C G. Therefore the doubles of these or AB and CD are equal. LVIII.— EUCLID III. 15. The diameter is the greatest straight line in a circle,...the greater is nearer to the centre than the less. Let A BCD (Fig 46) be a circle of which' the diameter is AD and centre E, and let BC, FG be any straight...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...other part. 10. If two circles touch one another internally, they shall not have the same centre. 11. The diameter is the greatest straight line in a circle;...the greater is nearer to the centre than the less. 12. The opposite angles of any quadrilateral figure described in a circle, are together equal to two...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 sider
...square of half the line, is equal to the square of the line made up of the half and part produced. 2. The diameter is the greatest straight line in a circle, and of the rest that which is nearer to the centre is greater than one more remote. Draw a line in a circle...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...then, if A = C, B = D; or, if A^C, B./D. PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle; and, of all others, that which is nearer...the greater is nearer to the centre than the less. Given a circle ABCD, of which the diameter is AD, and the centre E ; and BC a chord nearer to the centre...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 361 sider
...wherefore AB is equal to CD. (ax. 6.) Therefore equal straight lines, &c. QED PROPOSITION XV. THEOREM. The diameter is the greatest straight line in a circle ; and of the rest, that which is nearer to the center is always greater than one more remote : and conversely...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 sider
...the end of the time he had to receive two pounds ; required the number of days he worked. Euclid. 1. The diameter is the greatest straight line in a circle...which is nearer to the centre is always greater than the one more remote ; and the greater is nearer to the centre than the less. 2. In a circle the angle...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...CG ; wherefore AB Is equal to CD. Therefore, equal straight lines, &c. Q, ED PROP. XV.— THEOEEM. The diameter is the greatest straight line in a circle,...the greater is nearer to the centre than the less. (References— Prop. i. 12, 20; in. def. 5.) Let ABCD be a circle, of which the diameter is AD, and...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863
...circle (ABCD); end, of all others, that (BC) ,rlrich is nearer to the centre (E) is greater than (l'"G) one more remote: and the greater is nearer to the centre than the less. Because AE is equal (I. Def. 15) to EB. and ED to EC ; therefore AD is equal (I. Ax. 2) to EB and EC;...
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Guide to the Civil service

Henry White - 1864
...is equal to the square of the straight line which is made up of the half and the part produced. 4. The diameter is the greatest straight line in a circle;...the greater is nearer to the centre than the less. 5. A segment of a circle being given, describe the circle of which it is the segment. 6. If the outward...
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