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  2. Goat grazing problem - Wikipedia

    en.wikipedia.org/wiki/Goat_grazing_problem

    Find the area between a circle and its involute over an angle of 2 π to −2 π excluding any overlap. In Cartesian coordinates, the equation of the involute is transcendental; doing a line integral there is hardly feasible. A more felicitous approach is to use polar coordinates (z,θ).

  3. Shoelace formula - Wikipedia

    en.wikipedia.org/wiki/Shoelace_formula

    Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]

  4. Involute - Wikipedia

    en.wikipedia.org/wiki/Involute

    In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve. [1] The evolute of an involute is the original curve.

  5. List of curves - Wikipedia

    en.wikipedia.org/wiki/List_of_curves

    Main page; Contents; Current events; Random article; About Wikipedia; Contact us; Help; Learn to edit; Community portal; Recent changes; Upload file

  6. Plantigrade - Wikipedia

    en.wikipedia.org/wiki/Plantigrade

    The primary advantages of a plantigrade foot are stability and weight-bearing ability; plantigrade feet have the largest surface area. The primary disadvantage of a plantigrade foot is speed. With more bones and joints in the foot, the leg is both shorter and heavier at the far end, which makes it difficult to move rapidly.

  7. Find out which of these must-see aquariums in the US are ...

    www.aol.com/must-see-aquariums-us-close...

    Aquariums in the United States are full of life, color, and beauty. But the best aquariums don't just put some of the world's rarest, most intriguing, and majestical water-loving creatures within ...

  8. Strategist details what to look for in ETFs going into 2025

    www.aol.com/finance/strategist-details-look-etfs...

    Listen and subscribe to Stocks in Translation on Apple Podcasts, Spotify, or wherever you find your favorite podcasts. Exchange-traded funds (ETFs) are often an essential part of a diversified ...

  9. Glossary of botanical terms - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_botanical_terms

    1. A space between the threads of a net, e.g. that part of a leaf surface defined by each of the elements of a vein network; as with cacti, the area between the veinlets of a leaf. 2. A structure on the stem node of a cactus, morphologically a specialised branch; the region of a cactus upon which spine s, glochid s, and flowers are borne. aril