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  2. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The golden ratio φ and its negative reciprocal −φ −1 are the two roots of the quadratic polynomial x 2 − x − 1. The golden ratio's negative −φ and reciprocal φ −1 are the two roots of the quadratic polynomial x 2 + x − 1. The golden ratio is also an algebraic number and even an algebraic integer.

  3. Irrational number - Wikipedia

    en.wikipedia.org/wiki/Irrational_number

    Among irrational numbers are the ratio π of a circle's circumference to its diameter, Euler's number e, the golden ratio φ, and the square root of two. [1] In fact, all square roots of natural numbers , other than of perfect squares , are irrational.

  4. Golden triangle (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Golden_triangle_(mathematics)

    A golden triangle. The ratio a/b is the golden ratio φ. The vertex angle is =.Base angles are 72° each. Golden gnomon, having side lengths 1, 1, and .. A golden triangle, also called a sublime triangle, [1] is an isosceles triangle in which the duplicated side is in the golden ratio to the base side:

  5. Is the Golden Ratio the Missing Piece in Your Financial Plan?

    www.aol.com/using-golden-ratio-finance-203347825...

    The golden ratio budget echoes the more widely known 50-30-20 budget that recommends spending 50% of your income on needs, 30% on wants and 20% on savings and debt. The “needs” category covers ...

  6. The 10 to 1 ratio was an estimate made in 1972; current estimates put the ratio at either 3 to 1 or 1.3 to 1. [298] The total length of capillaries in the human body is not 100,000 km. That figure comes from a 1929 book by August Krogh, who used an unrealistically large model person and an inaccurately high density of capillaries.

  7. College Football Playoff: Jaydon Blue's long TD run ...

    www.aol.com/college-football-playoff-jaydon...

    Jaydon Blue ended Clemson’s hopes of a comeback on Saturday. The Texas running back sprinted for a 77-yard touchdown with 10:48 to go to give Texas a two-TD lead in the No. 5 Longhorns’ 38-24 ...

  8. Golden rectangle - Wikipedia

    en.wikipedia.org/wiki/Golden_rectangle

    In geometry, a golden rectangle is a rectangle with side lengths in golden ratio +:, or ⁠:, ⁠ with ⁠ ⁠ approximately equal to 1.618 or 89/55. Golden rectangles exhibit a special form of self-similarity : if a square is added to the long side, or removed from the short side, the result is a golden rectangle as well.

  9. Trump's agenda in trouble? What the Republican revolt on ...

    www.aol.com/trumps-agenda-trouble-republican...

    Bacon said debt ceiling and short-term spending legislation will always involve some fiscally-conservative Republicans in opposition. "So you gotta have Democrats on board," he added.