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" There are n points in a plane, no three of which are in the same straight line with the exception of p, which are all in the same straight line; find the number of lines which result from joining them. "
Mathematical Questions and Solutions, from the "Educational Times." - Page v
1865
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Calendar

University of Cambridge - 1849 - 560 pages
...things taken r together is equal to the number taken n—r together. There are n points in a plane, no three of which are in the same straight line, with the exception of p, which are all in the same straight line ; find the number of lines which result from joining them....
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The Principles of the Solution of the Senate-house 'riders,' Exemplified by ...

Francis James Jameson - Mathematics - 1851 - 144 pages
...Find the number of combinations of n things taken r together. (.B). There are n points in a plane, no three of which are in the same straight line, with the exception of p, which are in the same straight line ; find the number of lines which result from joining them. If no...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...things taken r together is equal to the number taken n - r together. There are n points in a plane, no three of which are in the same straight line, with the exception of p, which are all in the same straight line ; find the number of lines which result from joining them....
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...r, together. d + c' c + a' a + 6 are also in harmonical progression. There are n points in a plane no three of which are in the same straight line with the exception of p which are all in the same straight line, find the number of lines joining all the points. 9. Apply...
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The elements of algebra

James Wood - 1857 - 634 pages
...in the first half hour ? Ans. The llth of A, and the 10th of B. 40. There are n points in a plane, no three of which are in the same straight line, with the exception of p which are all in the same straight line : find the number of triangles which result from joining them....
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Algebra

Isaac Todhunter - Algebra - 1858 - 530 pages
...three of the angular pointa of the decagon for its angular points? 30. There are n points in a plane, no three of which are in the same straight line with the exception of p, which are all in the same straight line; find the number of lines which result from joining them. 31....
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A companion to Wood's Algebra

Thomas Lund - 1860 - 394 pages
...are J those which most nearly coincide within the given time. Ex. 40. There are n points in a plane, no three of which are in the same straight line, with the exception of p which are all in the same straight line; find the number of triangles which result from joining them....
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...together. Required the number of horses that each has. Ans. 8. 13. There are 12 points in a plane, no three of which are in the same straight line with the exception of five, which are all in the same straight line. How many different straight lines can be formed by joining...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...together. Required the number of horses that each has. Ann. 8. 13. There are 12 points in a plane, no three of which are in the same straight line with the exception of five, which are all in the same straight line. How many different straight lines can be formed by joining...
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Mathematical Questions and Solutions, Volume 3

Mathematics - 1865 - 132 pages
...Vp, according to one definition, = vf, according to the other. 1485. (Proposed by R. TUCKEB, MA) — In two parallel planes (A, B) are taken m and n points...triangular pyramids with their bases in the planes. Solution by the PBOPOSEB. Let nCf denote the number of combinations of n things taken r at a time ;...
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