Αναζήτηση Εικόνες Χάρτες Play YouTube Ειδήσεις Gmail Drive Περισσότερα »
Είσοδος
 Βιβλία Βιβλία
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

...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

...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....