Let us now journey through the intricate wisdom of the ancient science as revealed in these verses. The sages begin by describing the subtle conjunctions that govern time—the union of lunar days, days themselves, stars, and those divisions known as half-tithis. They speak of the waxing and waning of the moon, and also of the seasons that unfold across all the lunar mansions, each influencing the rhythm of life. The rites of passage are then enumerated: the first cutting of hair, the piercing of ears, the sacred tonsure, and the ritual tying of the knife, among other ceremonies. These mark the milestones of human existence. Equally important are the auspicious moments for beginning a journey, entering a new place, sudden rain, and actions of special significance, each chosen with care and wisdom. Numbers play their role as well: one, ten, a hundred, a thousand, ten thousand, and even a hundred thousand—each with its own place in calculation and ritual. The sages invoke the names of niravara, mahāpadma, shaṅku, and the ocean itself, signifying vast measures and sacred symbols. Whether these elements are arranged in order or not, their combination must always serve the desired result. In calculation, when the divisor is pure, the quotient is multiplied by the last remainder to yield the outcome. Yet, if the last remainder is odd, one must set aside the odd and keep the root separately. That product, O Brahmin, should be abandoned, and the process divided again by the root, following the operation known as samatra, whose rule is well established. Wealth, too, must be purified—by the odd from the last, which is called the root. With this product, one purifies what has been struck down, as well as the nighnī. In the mutual taking and striking down, shares must be cut exactly, and their proportion carefully understood by those who contemplate the science. By subtracting shares from the total, one assigns to each its own increased portion. When shares are equal, their combination is made at the end. The result emerges from the operation of subtracting, cutting, striking, and multiplying the differing shares. The remainder is taken in division, and multiplication follows its rule. For each step in the process, a sound is produced, marking progress, and a sound echoes everywhere. One must make both one’s own debt and the debt owed to oneself visible, so as to attain the proper sign in the zodiac. The portion here remains unchanged; in the reverse, the remainder follows the previous rule. Multiplying the desired with the observed gives the quotient of the zodiac, not the unassigned. The difference between zodiac signs forms the surplus of the group, and for the one who is born, those two are considered. This group is divided, and thus one zodiac sign is deemed superior. In another union of groups, the single ones are the zodiac signs, and the groups comprise these two. Both seekers are made manifest, and in calculation, only what is manifest is considered. Half of the product of the observed is not added; instead, the product made into a group becomes the multiplier. Similarly, the root multiplier divided by those two is achieved, just as with the manifest. The desired, multiplied by the first remainder taken, is the result, separated by the reverse. The result of division by many zodiac signs, and also by division with a small number, is explained. Time multiplied by measure yields the result, and multiplying the elapsed time gives the outcome. From the result of many zodiac signs, the fruit of a few zodiac months is abundant. The throws are mixed and struck, then divided by the union, producing results. The full one proceeds, as does the excellent, and the same applies to the group’s increase. The single one, its product, and the principal measure in the superior multiplier are all considered. The step of another action—hearing, the summit, and the fault of the ear and the group—are taken into account. By multiplying the difference between two signs by two and adding the product to their sum, the diameter is obtained, O sage, as the square root of that sum. The diameter is likened to the arrow, and the arrow’s length is derived from the diameter by the rule of the arrow. Thus, the ancient wisdom unfolds, guiding the seeker through the mysteries of time, ritual, measure, and calculation, all woven together in the fabric of Sanātana Dharma.