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  2. Pons asinorum - Wikipedia

    en.wikipedia.org/wiki/Pons_asinorum

    The pons asinorum in Oliver Byrne's edition of the Elements [1]. In geometry, the theorem that the angles opposite the equal sides of an isosceles triangle are themselves equal is known as the pons asinorum (/ ˈ p ɒ n z ˌ æ s ɪ ˈ n ɔːr ə m / PONZ ass-ih-NOR-əm), Latin for "bridge of asses", or more descriptively as the isosceles triangle theorem.

  3. Thales's theorem - Wikipedia

    en.wikipedia.org/wiki/Thales's_theorem

    In geometry, Thales's theorem states that if A, B, and C are distinct points on a circle where the line AC is a diameter, the angle ∠ ABC is a right angle. Thales's theorem is a special case of the inscribed angle theorem and is mentioned and proved as part of the 31st proposition in the third book of Euclid 's Elements . [ 1 ]

  4. Viviani's theorem - Wikipedia

    en.wikipedia.org/wiki/Viviani's_theorem

    For any interior point P, the sum of the lengths of the perpendiculars s + t + u equals the height of the equilateral triangle.. Viviani's theorem, named after Vincenzo Viviani, states that the sum of the shortest distances from any interior point to the sides of an equilateral triangle equals the length of the triangle's altitude. [1]

  5. Law of cosines - Wikipedia

    en.wikipedia.org/wiki/Law_of_cosines

    Fig. 4 – Coordinate geometry proof Consider a triangle with sides of length a , b , c , where θ is the measurement of the angle opposite the side of length c . This triangle can be placed on the Cartesian coordinate system with side a aligned along the x axis and angle θ placed at the origin, by plotting the components of the 3 points of ...

  6. Difference of two squares - Wikipedia

    en.wikipedia.org/wiki/Difference_of_two_squares

    The resulting identity is one of the most commonly used in mathematics. Among many uses, it gives a simple proof of the AM–GM inequality in two variables. The proof holds in any commutative ring. Conversely, if this identity holds in a ring R for all pairs of elements a and b, then R is commutative. To see this, apply the distributive law to ...

  7. Washington State QB John Mateer to enter transfer portal ...

    www.aol.com/washington-state-qb-john-mateer...

    There's a new No. 1-ranked player in the transfer portal. Washington State quarterback John Mateer is entering the transfer portal, Cougars coach Jake Dickert confirmed Monday. He's the No. 1 ...

  8. Van Hiele model - Wikipedia

    en.wikipedia.org/wiki/Van_Hiele_model

    The van Hiele levels have five properties: 1. Fixed sequence: the levels are hierarchical.Students cannot "skip" a level. [5] The van Hieles claim that much of the difficulty experienced by geometry students is due to being taught at the Deduction level when they have not yet achieved the Abstraction level.

  9. Today's Wordle Hint, Answer for #1256 on Tuesday ... - AOL

    www.aol.com/lifestyle/todays-wordle-hint-answer...

    OK, that's it for hints—I don't want to totally give it away before revealing the answer! Related: 16 Games Like Wordle To Give You Your Word Game Fix More Than Once Every 24 Hours

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