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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... "
The Elements of Euclid: Viz. the First Six Books, with the Eleventh and ... - Σελίδα 72
των Alexander Ingram - 1799 - 351 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 σελίδες
...Therefore equal straight lines, &e. QED PROPOSITION XV. — THEOREM. The diameter is the greatest straight line in a circle, and of all others that which is nearer to the centre is alivays greater tJюп one more remote, and the greater is nearer to the centre than the less. LET...

Public Education: As Affected by the Minutes of the Committee of Privy ...

Sir James Kay-Shuttleworth - 1853 - 500 σελίδες
...do not bisect each other. 2. The diameter is the greatest straight line in a circle ; and of all the others, that which is nearer to the centre is always greater than the one more remote ; and the greater is always nearer to the centre than the less. 3. To inscribe...

Orr's Circle of the Sciences: The mathematical sciences

William Somerville Orr - 1854
...AB = CD ; Л equal chords, &c. QED PROPOSITION XY.— THEOREM. 27i« diameter is the greatest chord in a circle : and of all others, that which is nearer...: and the greater is nearer to the centre than the less. Let E be the centre of the circle ABCD, and let BC be nearer to it than FG : the diameter AD...

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...straight line which joins them shall fall within the circle. 2. 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 the one more remote : and the greater is nearer to the centre than the less. 3. If from any point without...

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

Euclides - 1855
...bisection and touches them at these points, PROP. XV. THEOREM. The diameter is the greatest straight line in a circle ; and, of 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...

The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...doubles of these or AB and CD are equal. LVIII.— EUCLID III. 15. The diameter is the greatest straight line in a circle, and of all others that which is...remote, and 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...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...centre of the circle is in the line which bisects the other. 7. The diameter is the greatest straight line in a circle; and, of all others, that which is...: and the greater is nearer to the centre than the less. BOOKS IV. VI. For Candidates for Honors. 1. INSCRIBE in a given circle a triangle equiangular...

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...; and 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...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 12 σελίδες
...two pounds ; required the number of days he worked. Euclid. 1. 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 the one more remote ; and the greater is nearer to the centre than the less. 2. In a circle the angle...

Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...>D. 15. 33. The diain. is the greatest st. line in a © ; and of all others that nearer to the cen. is always greater than one more remote : and the greater is nearer to the cen. than the less. SCH. The longest chord is the diam. ; the shortest through a giveu . , tint perp....




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