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

Euclides - 1881
...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 it greater than one more remote : and the greater is nearer to the centre than the le!s. Let ABCD be...

The Cambridge Examiner

...the line to the plane. 13. 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. Two parallel chords in a circle are respectively six and eight inches in length and one inch apart....

The Oxford examiner, ed. by M.W.I. Shilleto

Mary W I. Shilleto
...sum and difference of AB and AC may be equal to a given square. 2. 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 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 - 1883 - 400 σελίδες
...PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle ; and, of all otJters, that which is nearer to the centre is always greater...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...

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

Euclides, James Hamblin Smith - 1883
...whether it is equal or not to the former. PROPOSITION XV. THEOREM. Tlie diameter is the greatest chord in a circle, and of all others that which is nearer to the centre is always greater than one ,mare remote ; and the greater is nearer lu the centre than the less. Let AB be a diameter of the s...

Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...so that the rectangle AC, AD is equal to the square on CD. 6. 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 remote. Two circles cut one another, through a point of intersection draw a straight...

The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...are equal to the segments of the other. PROPOSITION 15. THEOREMS. The diameter is the greatest chord in a circle; and of all others that which is nearer to the centre is greater than one more remote. Conversely : The greater chord is nearer to the centre than the less....

The Practical Teacher, Τόμος 4

1885
...parts from the whole, and the remainders DBand CE are equal. 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. Through a given point within a circle draw the least possible chord. Let ABCD be a circle, diameter...

The first six books of the Elements of Euclid, and propositions i.-xxi. of ...

Euclides - 1885
...in a circle ; and of the others, the chord (CD) which is nearer to the centre is greater than (EF) one more remote, and the greater is nearer to the centre than the less. Dem. — 1. Join OC, OD, OE, and draw the perpendiculars OG, OH ; then because O is the centre,...

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

Euclid, John Casey - 1885 - 312 σελίδες
...in a circle ; and of the others, the chord (CD) which is nearer to the centre is greater than (EF) one more remote, and the greater is nearer to the centre than the less. Dem. — 1. Join OC, OD, OE, and draw the perpendiculars OG, OH ; then because O is the centre,...




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