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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... "
Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ... - Side 31
av Euclides - 1861
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...circle p« w, through all the points of bisection and touches them at these points. PROP. XV. THEOREM. The diameter is the greatest straight line in a circle...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...
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The Cambridge Examiner, Volum 1

1881
...given plane to meet it, the least is that which measures the inclination of 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...
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The Oxford examiner, ed. by M.W.I. Shilleto, Utgaver 1-5

Mary W I. Shilleto - 1882
...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,...
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University local half-hour examination papers

John Robertson (LL.D., of Upton Park sch.) - 1882
...extremity of the base, equal to one another, and likewise those terminated in the other extremity. 6. The diameter is the greatest straight line in a circle, and of all others the greater is nearer to the centre than the less. 7. Define equal triangles, and prove that if equal...
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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...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Euclid, Isaac Todhunter - 1883 - 400 sider
...Therefore AS is equal to CD. Wherefore, equal straight lines &c. QED [Axiom 6. 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 than one more remote; and the greater...
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Woolwich mathematical papers [aftwerw.] Mathematical papers for admission ...

Woolwich roy. military acad - 1884
...equal to BC, shew that AC is divided in D so that the rectangle AC, AD is equal to the square on CD. 6. The diameter is the greatest straight line in a circle,...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...
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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....
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The Practical Teacher, Volum 4

1885
...FE and BF = FC. Take away the equal parts from the whole, and the remainders DBand CE are equal. 4. The diameter is the greatest straight line in a circle...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...
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The First Six Books of the Elements of Euclid: And Propositions I-XXI of ...

Euclid, John Casey - 1885 - 312 sider
...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, OA...
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