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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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Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 119 sider
...equal to CD (Ax. 0); Thcrefyj-u, equal straight linen, Ac. QED *• . Proposition 15. — Theorem. The diameter is the greatest straight line in a circle;...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 centre...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin SMITH - 1876 - 349 sider
...whether it is equal "' 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 Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord, not a diameter,...
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Examination Christmas,1875

Education Department,London - 1876
...according аз the vortical angle is lesa or greater than a right angle. 3. In a circle the straight line which is nearer to the centre is always greater than one more remote. If a square and any other parallelogram be inscribed in a circle, the side of the square is greater...
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First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...with the square on the line between the points of section, is equal to the square on half the line. 4. The diameter is the greatest straight line in a circle...the greater is nearer to the centre than the less. 5. Describe a square about a given circle. 6. Define ratio, part, invertendo, and ex aequali. 7. Triangles...
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Examination Papers: Moderations

University of Oxford - 1879
...being produced, shall pass through the point of contact. 6. Describe a circle about a given square. 7. The diameter is the greatest straight line in a circle...the greater is nearer to the centre than the less. 8. In equal circles, the angles which stand on equal arcs are equal to one another, whether they be...
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 sider
...similar method we may prove AF is equal to CG; hence AB is equal to CD. Proposition 13. Theorem.— The diameter is the greatest straight line in a circle; and of all others, that which is nearer the centre is greater than one more remote; and the greater is nearer the centre than the less. Let...
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Elements of geometry, containing books i. to vi.and portions of books xi ...

Euclides, James Hamblin Smith - 1879
...is the greatest chord in a circle, and of all others ftfi( which is nearer to the centre is alu"u/n greater than one more remote ; and the greater is nearer to the centre than the Let AB be a diameter of the © ABDC, whose centre is O, and let CD be any other chord, not a diameter,...
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Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...square of the line between the points of section. Write down the corresponding algebraical formula. 2. The diameter is the greatest straight line in a circle...the greater is nearer to the centre than the less. From a given point without a circle, draw a straight line, the part of which intercepted by the circle...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 400 sider
...Therefore AB is equal to CD. [Axiom 6. Wherefore, equal straight lines &c. QED PROPOSITION 15. THEOREM. The diameter is the greatest straight line in a circle;...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 AD is a diameter,...
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The Cambridge Examiner, Volum 4

1884
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 5. The diameter is the greatest straight line in a circle...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. 7. Points A, B, C are...
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