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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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

the queens university calander

alexander thom - 1875
...triangle. 2. Prove that the diameter is the greatest line in a circle; and that, of all others, the one which is nearer to the centre is always greater than one more remote. 3. Two triangles have one angle in the one equal to one angle in the other, and the sides about the...

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

Edward Atkins - 1876 - 119 σελίδες
...equal straight linen, Ac. QED *• . Proposition 15. — Theorem. The diameter is the greatest straight line in a circle; and, of all others, that which is...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...

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...

First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879
...and that part, together with the square on the other part. 10. 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. IV. Euclid, Books IV— VI. 1 . Define — ratio, compound ratio, ex aequali and reciprocal figures....

Examination Papers: Moderations

University of Oxford - 1879
...point of contact. 6. Describe a circle about a given square. 7. The diameter is the greatest straight line in a circle ; and, of all others, that which...remote; and 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...

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,...

The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - 1879 - 266 σελίδες
...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...

Military examinations. Mathematical examination papers, set at entrance to ...

Sandhurst roy. military coll - 1880
...section. Write down the corresponding algebraical formula. 2. 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. From a given point without a circle, draw a straight line, the part of which intercepted by the...

The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - 1880 - 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 is...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,...

The Cambridge Examiner

1884
...of the parts may be equal to the square on the other part. 5. 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 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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