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 Bøker Bok 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
Uten tilgangsbegrensning - Om denne boken 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...
Uten tilgangsbegrensning - Om denne boken 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,...
Uten tilgangsbegrensning - Om denne boken Examination Christmas,1875

...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...
Uten tilgangsbegrensning - Om denne boken 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...
Uten tilgangsbegrensning - Om denne boken 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...
Uten tilgangsbegrensning - Om denne boken 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...
Uten tilgangsbegrensning - Om denne boken 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,...
Uten tilgangsbegrensning - Om denne boken Military examinations. Mathematical examination papers, set at entrance to ...

...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...
Uten tilgangsbegrensning - Om denne boken 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,...
Uten tilgangsbegrensning - Om denne boken 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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