Titlebook: Mathematical Surprises; Mordechai Ben-Ari Book‘‘‘‘‘‘‘‘ 2022 The Editor(s) (if applicable) and The Author(s) 2022 open access high school m

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A Compass Is Sufficient,f a circle with a given radius (Sect. 13.3), addition and subtraction of line segments (Sect. 13.4) and construction of a line segment as a ratio of segments (Sect. 13.5). Section 13.6 shows how to find the intersection of two lines and Sect. 13.7 shows how to find the intersection of a line and a circle.

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Squaring the Circle,ials, the impossibility of squaring the circle follows from the transcendentality of ?: it is not the root of any polynomial with rational coefficients. This is a difficult theorem that was proved in 1882 by Carl von Lindemann.

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The Five-Color Theorem,is called the . and was only proved in 1976 by Kenneth Appel andWolfgang Haken. They used sophisticated mathematical arguments to show that if there is a counterexample (a map needing more than four colors), it had to be associated with one of 1834 configurations. They then used a computer to check these configurations.

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Solving Quadratic Equations, sense and then explains howto compute the roots. In Sect. 7.3 the computation is carried out for two quadratic polynomials and a similar computation for a quartic polynomial. Section 7.4 derives the traditional formula for the roots from Loh’s formulas.

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terprise data warehouse and business intelligence environments, complete with real-world, easy-to-follow examples, and practical advice.Integrate HBase, Solr, Oracle, SQL Server, MySQL, Flume, Kafka, HDFS, and Amazon S3 with Apache Kudu, Impala, and Spark.Use StreamSets, Talend, Pentaho, and CDAP fo

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