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  2. Cissoid of Diocles - Wikipedia

    en.wikipedia.org/wiki/Cissoid_of_Diocles

    Cissoid of Diocles traced by points M with ¯ = ¯ Animation visualizing the Cissoid of Diocles. In geometry, the cissoid of Diocles (from Ancient Greek κισσοειδής (kissoeidēs) 'ivy-shaped'; named for Diocles) is a cubic plane curve notable for the property that it can be used to construct two mean proportionals to a given ratio.

  3. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals. When those side-lengths are expressed in terms of the sin and cos values shown in the figure above, this yields the angle sum trigonometric identity for sine: sin(α + β) = sin α cos β + cos α sin β.

  4. Proofs of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/Proofs_of_trigonometric...

    For the sine function, we can handle other values. If θ > π /2, then θ > 1. But sin θ ≤ 1 (because of the Pythagorean identity), so sin θ < θ. So we have ⁡ < <. For negative values of θ we have, by the symmetry of the sine function

  5. Darcy (unit) - Wikipedia

    en.wikipedia.org/wiki/Darcy_(unit)

    A medium with a permeability of 1 darcy permits a flow of 1 cm 3 /s of a fluid with viscosity 1 cP (1 mPa·s) under a pressure gradient of 1 atm/cm acting across an area of 1 cm 2. Typical values of permeability range as high as 100,000 darcys for gravel, to less than 0.01 microdarcy for granite. Sand has a permeability of approximately 1 darcy ...

  6. Unit circle - Wikipedia

    en.wikipedia.org/wiki/Unit_circle

    Because PQ has length y 1, OQ length x 1, and OP has length 1 as a radius on the unit circle, sin(t) = y 1 and cos(t) = x 1. Having established these equivalences, take another radius OR from the origin to a point R(−x 1,y 1) on the circle such that the same angle t is formed with the negative arm of the x-axis.

  7. Psi1 Draconis - Wikipedia

    en.wikipedia.org/wiki/Psi1_Draconis

    ψ 1 Draconis (Latinised to Psi 1 Draconis) is the system's Bayer designation and 31 Draconis its Flamsteed designation.The designation of the components – ψ 1 Draconis A and B – derives from the convention used by the Washington Multiplicity Catalog (WMC) for multiple star systems, and adopted by the International Astronomical Union (IAU).

  8. Orders of magnitude (pressure) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(pressure)

    1.5 psi Pressure increase per meter of a water column [26] 10 kPa 1.5 psi Decrease in air pressure when going from Earth sea level to 1000 m elevation [citation needed] +13 kPa +1.9 psi High air pressure for human lung, measured for trumpet player making staccato high notes [48] < +16 kPa +2.3 psi

  9. Bivariate von Mises distribution - Wikipedia

    en.wikipedia.org/wiki/Bivariate_von_Mises...

    Samples from the cosine variant of the bivariate von Mises distribution. The green points are sampled from a distribution with high concentration and no correlation (= =, =), the blue points are sampled from a distribution with high concentration and negative correlation (= =, =), and the red points are sampled from a distribution with low concentration and no correlation (= =, =).