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On the asymptotic parabolas [PDF]
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Analysis of the offset to a parabola
Computer Aided Geometric Design, 1995Abstract Wei Lu has recently constructed a proper rational parameterization for the two-sided offset to a parabola—indicating that this locus, an irreducible curve of degree n = 6, is of genus 0. The theory of algebraic curves then requires that the parabola offset have 1 2 (n−1)(n−2) = 10 double points.
Rida T Farouki, Thomas W Sederberg
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Dal greco παραβολή, “collocazione di una cosa accanto a un’altra”, quindi “comparazione, similitudine”. La parabola è prima di tutto una traiettoria (Galileo) poi una sezione strutturale che si avvicina all’ottimale in termini sia di resistenza sia di rigidezza. Note le parabole in letteratura: narrazioni metaforiche per trasmettere un insegnamento o
Giani, Esther
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Developing the concept of a parabola in Taxicab geometry
WOS: 000354282000007The aim of this study was to observe the development process of the concept of a parabola in Taxicab geometry. The study was carried out in two stages.
Ada, Tuba +2 more
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The American Mathematical Monthly, 2009
Parabolas have many interesting properties which were perhaps more well known in centuries past. Many of these properties hold only for parabolas, providing a characterization which can be used to recognize (theoretically, at least) a parabola. Here, we present a dozen characterizations of parabolas, involving tangent lines, areas, and the well-known ...
Bettina Richmond, Tom Richmond
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Parabolas have many interesting properties which were perhaps more well known in centuries past. Many of these properties hold only for parabolas, providing a characterization which can be used to recognize (theoretically, at least) a parabola. Here, we present a dozen characterizations of parabolas, involving tangent lines, areas, and the well-known ...
Bettina Richmond, Tom Richmond
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2006
In the present paper, we propose a new definition of discrete parabolas, the so-called arithmetic discrete parabolas. We base our approach on a non-constant thickness function and characterized the 0-connected and 1-connected parabolas in terms of thickness function.
Debled-Rennesson, Isabelle +2 more
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In the present paper, we propose a new definition of discrete parabolas, the so-called arithmetic discrete parabolas. We base our approach on a non-constant thickness function and characterized the 0-connected and 1-connected parabolas in terms of thickness function.
Debled-Rennesson, Isabelle +2 more
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Parabolas Related to a Triangle
The Mathematical Gazette, 1954Let ABC be a plane triangle with D, E, F the midpoints of the sides BC, CA, AB respectively. Let L, L’ be two real intersecting straight lines in the plane.
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Characterisations of the parabola
The Mathematical Gazette, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kilner, Steven J., Farnsworth, David L.
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2018
ABSTRAKPada buku teks telah banyak dibahas mengenai berkas lingkaran. Pada artikel ini dikonstruksi berkas parabola. Jika diberikan dua parabola dan yang sejenis, maka bentuk dengan sebarang bilangan real dan merupakan berkas parabola yang melalui titik-titik perpotongan kedua parabola.
Bahiroh, Fikrotun . +2 more
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ABSTRAKPada buku teks telah banyak dibahas mengenai berkas lingkaran. Pada artikel ini dikonstruksi berkas parabola. Jika diberikan dua parabola dan yang sejenis, maka bentuk dengan sebarang bilangan real dan merupakan berkas parabola yang melalui titik-titik perpotongan kedua parabola.
Bahiroh, Fikrotun . +2 more
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International Journal of Mathematical Education in Science and Technology, 2013
Given a parabola in the standard form corresponding to three points on the parabola, such that the normals at these three points concur at a point the equation of the circumscribing circle through the three points provides a tremendous opportunity to illustrate ‘The Art of Algebraic Manipulations’. The equation of the circle exists as a separate entity
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Given a parabola in the standard form corresponding to three points on the parabola, such that the normals at these three points concur at a point the equation of the circumscribing circle through the three points provides a tremendous opportunity to illustrate ‘The Art of Algebraic Manipulations’. The equation of the circle exists as a separate entity
openaire +1 more source

