Please read the following passage carefully.
For centuries, the Ptolemaic model of the universe dominated astronomical thought, relying on a complex system of deferents and epicycles to explain the seemingly erratic retrogradations of planetary motion. However, this system suffered from a significant physical implausibility: the equant. The equant was a mathematical point situated opposite the Earth from the center of the deferent, from which the planet's epicycle appeared to move at a uniform angular velocity. While computationally effective for predicting planetary positions, the equant violated the Aristotelian physical principle that all celestial motion must be uniform and circular around a central point.
In the thirteenth century, astronomers at the Maragha observatory, led by the Persian polymath Nasir al-Din al-Tusi, sought to resolve this contradiction. Their goal was not to overthrow the geocentric paradigm—which remained conceptually unquestioned—but rather to synthesize Aristotelian physics with Ptolemaic mathematical astronomy. To this end, al-Tusi developed a geometric theorem now known as the 'Tusi couple.' This mathematical device consists of a smaller circle rotating inside a larger circle twice its diameter. As the smaller circle rolls inside the larger one, a point on the circumference of the smaller circle oscillates back and forth along a straight line. By replacing the problematic equant with a combination of uniformly rotating circles, the Tusi couple successfully generated linear motion from circular motion.
Al-Tusi incorporated this device into his planetary models, most notably in his lunar model, to preserve uniform circular motion while closely matching the empirical accuracy of Ptolemy's equant-based predictions. Crucially, the Maragha astronomers did not employ the Tusi couple to alter the cosmological structure of the universe. Instead, they utilized it as a strictly kinematic mechanism to purge Ptolemaic models of physical absurdities.
Centuries later, Nicolaus Copernicus utilized an identical mathematical mechanism in his 'De revolutionibus orbium coelestium'. Copernicus employed the Tusi couple to model the oscillation of the planetary spheres and the variation in orbital speeds without relying on an equant. The striking geometric similarity between the Maragha models and those of Copernicus has led many historians of science to posit a direct transmission of Islamic astronomical knowledge to Renaissance Europe. Yet, regardless of the transmission debate, the functional application of the Tusi couple in both systems underscores a shared methodological commitment: the strict adherence to the principle of uniform circular motion, a constraint that both the Maragha astronomers and Copernicus viewed as non-negotiable for any true physical representation of the heavens.
Determine whether the following statement is TRUE or FALSE based exclusively on the explicit information provided in the passage:
Statement: The Tusi couple replaced the Ptolemaic equant by utilizing a large circle that oscillates along a straight line within a smaller, uniformly rotating circle, thereby successfully generating uniform circular motion from linear motion.
Cevap: Cevap