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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 straight lines which result from joining them. "
A Course in Algebra: Being Course One in Mathematics in the University of ... - Page 129
by Charles Ambrose Van Velzer, Charles Sumner Slichter - 1888 - 216 pages
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Calendar

University of Cambridge - 1849 - 560 pages
...the number of combinations of n 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...
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A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - Mathematics - 1851 - 196 pages
...the number of combinations of n 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...
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The Principles of the Solution of Senate-house 'riders': Exemplified by the ...

Francis James Jameson - Mathematics - 1851 - 144 pages
...and therefore limit 1849. (A). 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...
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Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

Robert Potts - 1855 - 1050 pages
...is the same as the number n - 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...
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The elements of algebra

James Wood - 1857 - 634 pages
...strokes of each most nearly coincide 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...
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Algebra

Isaac Todhunter - Algebra - 1858 - 530 pages
...that is, each triangle having 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...
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A companion to Wood's Algebra

Thomas Lund - 1860 - 394 pages
...stroke of A and the 10"1 of В 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...
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Algebra

Isaac Todhunter - 1860 - 620 pages
...that is, each triangle having three of the angular points of the decagon for its angular points ? 30. There are n points in a plane, no three of which are in the name straight line with the exception of p, which are all in the same straight line; find the number...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1863 - 432 pages
...В can by taking 2 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...
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New University Algebra: A Theoretical and Practical Treatise, Containing ...

Horatio Nelson Robinson - Algebra - 1864 - 444 pages
...Б can by taking 2 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...
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