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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 first six books of the Elements of Euclid, and propositions i.-xxi. of ... - Page 122
by Euclides - 1885

## Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880 - 68 pages
...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. From a given point without a circle, draw a straight line, the part of which intercepted by the circle...

## The Cambridge Examiner, Volume 4

Education, Higher - 1884 - 538 pages
...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. 8. If any two points be taken in the circumference of a circle, the straight line which joins them...

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

Euclides - Euclid's Elements - 1881 - 236 pages
...straight line in a circle ; and, of all others, that which is nearer to the centre it greater than one more remote : and the greater is nearer to the centre than the le!s. Let ABCD be a circle, of which the diameter is AD, and the centre E ; and let BC be nearer to...

## The Oxford examiner, ed. by M.W.I. Shilleto, Issues 1-5

Mary W I. Shilleto - 1882 - 418 pages
...greatest chord 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 tie less. Show that all equal chords in a circle will be touched by another circle. 3. In a circle,...

## The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...straight line in a circle ; and, of all otJters, 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 bo a circle, of which AD is a diameter, and E the centre ; and let BG be nearer to the centre...

## The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - Euclid's Elements - 1885 - 340 pages
...equal to CF ; but AB is double of AE, and CD double of CF. Therefore AB is equal to CD. Exercise. PEOP. XV.— THEOREM. The diameter (AB) is the greatest...of OC, OD is greater than CD [I. xx.J. Therefore AB t'* greater than CD. 2. Because the chord CD is nearer to the centre than EF, OG is less than OH ;...

## The Practical Teacher, Volume 4

Education - 1885 - 630 pages
...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. Through a given point within a circle draw the least possible chord. Let ABCD be a circle, diameter...

## Woolwich Mathematical Papers for Admission Into the Royal Military Academy ...

E. J. Brooksmith - Mathematics - 1889 - 356 pages
...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. 7. In a circle the angle in a semicircle is a right angle, but the angle in a segment greater than...