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The approach of a hawk to its prey in classical pursuit, assuming the prey travels in a straight line. Their sharpest view is at an angle to their direction of flight; this angle is the same as the spiral's pitch. [7] The approach of an insect to a light source. They are used to having the light source at a constant angle to their flight path.
For example, the constant π may be defined as the ratio of the length of a circle's circumference to its diameter. The following list includes a decimal expansion and set containing each number, ordered by year of discovery. The column headings may be clicked to sort the table alphabetically, by decimal value, or by set.
The upper angle between one part of a plant and another, e.g. the stem and a leaf. axile On an axis; of a placenta, on the central axis of the ovary. axillary Borne in or arising from the axil, usually referring to the axil of a leaf. axis The main stem of a whole plant or inflorescence; also, the line along which this stem extends.
Leaves tend to have a shorter life span than the stems or branches that bear them, and when they fall, an area at the attachment zone, called the abscission zone leaves a scar on the stem. In the angle (adaxial) between the leaf and the stem, is the axil.
For example, white pine typically has a long bare stem, with branching beginning far up the trunk. In these cases a series of shots taken to the outer reaches of the branches standing at the side of the trunk can be used to calculate the length of spokes. In this case the angles will be steep, and the length of a spoke will be:
In beech and hazel the angle is 1/3, [citation needed] in oak and apricot it is 2/5, in sunflowers, poplar, and pear, it is 3/8, and in willow and almond the angle is 5/13. [6] The numerator and denominator normally consist of a Fibonacci number and its second successor.
The angle between a chord and the tangent at one of its endpoints is equal to one half the angle subtended at the centre of the circle, on the opposite side of the chord (tangent chord angle). If the angle subtended by the chord at the centre is 90°, then ℓ = r √2, where ℓ is the length of the chord, and r is the radius of the circle.
A complete Fermat's spiral (both branches) is a smooth double point free curve, in contrast with the Archimedean and hyperbolic spiral. Like a line or circle or parabola, it divides the plane into two connected regions. Definition of sector (light blue) and polar slope angle α