Volume 11, Issue 2
Offsets of Cassini Ovals

Thierry (Noah) Dana-Picard & Zoltán Kovács

Research Journal of Mathematics & Technology., 11 (2022), pp. 25-39.

Published online: 2022-11

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We report on computing and visualizing the offsets of the Cassini ovals. We use the elimination technique to obtain offsets as envelopes of a family of planar curves in a recent experimental version of GeoGebra. Offset curves are obtained in their implicit form as irreducible polynomials of degree 12 and 16.

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@Article{RJMT-11-25, author = {Dana-Picard , Thierry (Noah) and Kovács , Zoltán}, title = {Offsets of Cassini Ovals}, journal = {Research Journal of Mathematics & Technology}, year = {2022}, volume = {11}, number = {2}, pages = {25--39}, abstract = {

We report on computing and visualizing the offsets of the Cassini ovals. We use the elimination technique to obtain offsets as envelopes of a family of planar curves in a recent experimental version of GeoGebra. Offset curves are obtained in their implicit form as irreducible polynomials of degree 12 and 16.

}, issn = {}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/rjmt/21145.html} }
TY - JOUR T1 - Offsets of Cassini Ovals AU - Dana-Picard , Thierry (Noah) AU - Kovács , Zoltán JO - Research Journal of Mathematics & Technology VL - 2 SP - 25 EP - 39 PY - 2022 DA - 2022/11 SN - 11 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/rjmt/21145.html KW - AB -

We report on computing and visualizing the offsets of the Cassini ovals. We use the elimination technique to obtain offsets as envelopes of a family of planar curves in a recent experimental version of GeoGebra. Offset curves are obtained in their implicit form as irreducible polynomials of degree 12 and 16.

Dana-Picard , Thierry (Noah) and Kovács , Zoltán. (2022). Offsets of Cassini Ovals. Research Journal of Mathematics & Technology. 11 (2). 25-39. doi:
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