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"The Wheels on the Bus" is an American folk song written by Verna Hills (1898–1990). The earliest known publishing of the lyrics is the December 1937 issue of American Childhood, [1] originally called "The Bus", with the lyrics being "The wheels of the bus", with each verse ending in lines relevant to what the verse spoke of, as opposed to the current standard "all through the town" (or "all ...
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.
Children's literature portal; The Wheels on the Bus is a video series by Our Happy Child Productions, LLC, of Simi Valley, California. The Wheels on the Bus series is a collection of educational DVDs, TV series, music CDs and downloadable videos that aim to teach early skills to young children. [1] The series features songs sung by Roger ...
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 ...
The golden angle is the angle subtended by the smaller (red) arc when two arcs that make up a circle are in the golden ratio. In geometry, the golden angle is the smaller of the two angles created by sectioning the circumference of a circle according to the golden ratio; that is, into two arcs such that the ratio of the length of the smaller arc to the length of the larger arc is the same as ...
The ratio of the progression of side lengths is , where = (+) / is the golden ratio, and the progression can be written: ::, or approximately 1 : 1.272 : 1.618. Squares on the edges of this triangle have areas in another geometric progression, 1 : φ : φ 2 {\displaystyle 1:\varphi :\varphi ^{2}} .
The golden spiral is a logarithmic spiral that grows outward by a factor of the golden ratio for every 90 degrees of rotation (pitch angle about 17.03239 degrees). It can be approximated by a "Fibonacci spiral", made of a sequence of quarter circles with radii proportional to Fibonacci numbers .
(The) Wheels on the Bus may refer to: "The Wheels on the Bus", a children's song; The Wheels on the Bus (video series), educational series for children "Wheels on the Bus", a 2019 song by Melanie Martinez from her album K-12; Wheels On the Bus, a 1991 moving-parts children's picture book by Paul O. Zelinsky