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Etymologie

Was (wer) ist Āryabhaṭa's sine table - definition

Āryabhaṭa's sine table

FIRST SINE TABLE EVER CONSTRUCTED

Aryabhata's table of sines; Aryabhata sine table; Aryabhata's sine table; Aryabhata' s sine table

The astronomical treatise Āryabhaṭīya was composed during the fifth century by the Indian mathematician and astronomer Āryabhaṭa (476–550 CE), for the computation of the half-chords of certain set of arcs of a circle. It is not a table in the modern sense of a mathematical table; that is, it is not a set of numbers arranged into rows and columns.

https://en.wikipedia.org/wiki/Āryabhaṭa's_sine_table

Madhava's sine table

MATHEMATICAL TABLE

Sangamagrama Madhava's sine table; Madhava sine table; Mādhava's sine table

Madhava's sine table is the table of trigonometric sines of various angles constructed by the 14th century Kerala mathematician-astronomer Madhava of Sangamagrama. The table lists the trigonometric sines of the twenty-four angles 3.

https://en.wikipedia.org/wiki/Madhava's_sine_table

Abbe sine condition

$An optical imaging system (gray box) that obeys the sine condition has a fixed ratio between the sines of the ray angles at the entrance and exit of the system <math display="inline">\frac{\sin \alpha_o}{\sin \alpha_i} = M</math>. This ratio equals the magnification (M).$

CONDITION THAT MUST BE FULFILLED BY A LENS OR OTHER OPTICAL SYSTEM IN ORDER FOR IT TO PRODUCE SHARP IMAGES OF OFF-AXIS AS WELL AS ON-AXIS OBJECTS

Sine condition

The Abbe sine condition is a condition that must be fulfilled by a lens or other optical system in order for it to produce sharp images of off-axis as well as on-axis objects. It was formulated by Ernst Abbe in the context of microscopes.

https://en.wikipedia.org/wiki/Abbe_sine_condition