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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 school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...Therefore, equal straight lines, &c. Q, ED PROP. XV.— THEOEEM. 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. (References— Prop. i. 12, 20; in. def. 5.) Let ABCD be a circle, of which the diameter is AD,...

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...

Guide to the Civil service

Henry White - 1864
...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...: and 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...

The college Euclid: comprising the first six and the parts of the eleventh ...

Euclides - 1865
...one another ..... m. 14. 4. 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 the centre than the less .,...,. m. 15. 5. In equal circles, equal...

Handbook to government situations: or, The queen's Civil service considered ...

Civil service - 1866
...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...: and 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...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1855 - 317 σελίδες
...to CD. PROP. XV. THEOR. The diameter is the greatest straight line in a circle l and of all other*, that which is nearer to the centre is always greater than one mart remote , and the greater is nearer to the centre than the less. Let ABCD be a circle, of which...

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

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...Wherefore, equal straight lines &c. QED PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle ; and, of all others, that which...; 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 Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1867 - 400 σελίδες
...PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle ; and, of all otfters, that which is nearer to the centre is always greater...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...

The Edinburgh university calendar

Edinburgh univ - 1868
...together with twice the rectangle contained by the parts. 4. The diameter is the greatest straight line in a circle ; and, of all others, that which...; and the greater is nearer to the centre than the less. 5. Reduce to its briefest form the expression a-[bc-(a + b- <-)]. 6. Find the value of £ (y....

Civil service guide

Robert Johnston (F.R.G.S.) - 1869 - 178 σελίδες
...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...: and 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...