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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
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The Edinburgh university calendar

Edinburgh univ - 1871
...greater than the base of the other. 3. The diameter is the greatest straight line in a circle : and of others, that which is nearer to the centre is always...greater than one more remote ; and the greater is nearer the centre than the less. 2. To describe a square that shall be equal to a given rectilineal figure....

Dublin examination papers

Dublin city, univ - 1871
...construct a square equal to a given rectilineal figure. 5. The diameter is the greatest line in a ciri.le : and of all others that which is nearer to the centre is greater than the more remote ? 6. If a iight line be a tangent to a circle, and from the point of contact...

Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1872 - 349 σελίδες
...whether it is equal or not to the former. 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. •2) Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord,...

Elements of geometry, containing the first two (third and fourth ..., Μέρος 2

Euclides - 1872
...,:AP=CQ, i. E. Cor. and .-. AB = CD. QED PROPOSITION XV. THEOREM. The diameter is the greatest chord in a circle, and of all others that which is nearer...remote; and the greater is nearer to the centre than the less. Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord, not a...

The Acting Teacher's and Student's in Training Guide and Text Book for ...

Henry Major - 1873
...Therefore AB is equal to CD. XV. — TI»e diameter is the greatest straight line in a circle; and, of aU others, that which is nearer to the centre is always...; and the greater is nearer to the centre than the less. Let ABCD be a circle, AD the diameter, and E the centre ; and let BC be nearer to the centre...

Civil service guide

Robert Johnston (F.R.G.S.) - 1873
...straight line which is made up of the half and the part produced. 4. 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 niora remote : and the greater is nearer to the centre than the less. 5. A segment of a circle being...

The Bombay university calendar, Τόμος 1

Bombay city, univ - 1873
...cone, cylinder, jrritm, and sphere. 6 •J. Show that the diameter is the greatest straight line in a 6 Circle, and of all others that which is nearer to the centre is always greater than the one more remote. 3. If circles be described upon the sides and hypothenuse 8 of a right angled...

Pure mathematics, Τόμος 1

Edward Atkins - 1874
...double of CG; PROPOSITIONS. than Proposition 15. — Theorem. 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 ABCD be a circle, of which AD is a diameter, and E the centre ; and let BC be nearer to the...

Pure Mathematics, Τόμος 1

Edward Atkins - 1874
...double ofCG; PROPOSITIONS. than Proposition 15. — Theorem. The diameter is the greatest straight line in a circle; and, of all others, that which is nearer to the centre is always greater t/ian one more remote; and the greater is nearer to the centre t/ian the less. Let ABCD be a circle,...

The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...PROPOSITION 15. — Theorem. The diameter is the greatest straight line in a circle ; and of the rest, that which is nearer to the centre is always greater than one more remote ; and conversely, the greater is nearer to tlie centre than the less. Let ABCD be a circle, of which the...




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