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Diagonal Sums of the Trinomial Triangle

The Fibonacci Quarterly, 1974
V E Hoggatt, Marjorie Bicknell
exaly   +2 more sources

Diagonal Sums in the Harmonic Triangle

The Fibonacci Quarterly, 1981
Marjorie Bicknell-Johnson
exaly   +2 more sources

Row and Rising Diagonal Sums for a Type of Pascal Triangle

The Fibonacci Quarterly, 1977
Stephen W. Smith, Dean B. Priest
exaly   +2 more sources

Diagonal Sums of Generalized Pascal Triangles

The Fibonacci Quarterly, 1969
The sequence of generalized Fibonacci numbers \(u_n(p,q,s)\) where \(n\), \(p\), \(q\), \(s\) are non-negative integers as developed by \textit{V. C. Harris} and \textit{C. C. Styles} [Fibonacci Q. 4, 241--248 (1966; Zbl 0147.02203)] is given by \[ \sum_{n=0}^\infty u_n(p,q,s)] x^n = \frac{(1 - x^s)^q/(1 - x)}{(1 - x^s) - x^{p+sq}} = \sum_{n=0}^\infty \
Hoggatt, Verner E. jun., Bicknell, M.
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On the Diagonal Triangles of Certain Quadrilaterals Associated with a Triangle

The Mathematical Gazette, 1940
Mr. Gibbins’ paper on the “Feuerbach Quadrilateral” ( Math. Gazette , No. 249) deals with a delightful topic. The device employed is certainly ingenious. May I, however, be permitted to discuss the topic from an entirely different point of view, but with the same object in mind, namely of ...
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Diagonal Triangle of a Non Tangential Quadrilateral in an Isotropic Plane

2008
Properties of the non tangential quadrilateral ABCD in the isotropic plane are studied in this talk. A quadrilateral is called standard if a parabola with the equation x = y^2 is inscribed in it. Every non tangential quadrilateral can be represented in the standard position.
Šimić Horvath, Marija   +1 more
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