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Now we list the standard layout for the Square Root Extraction method, divided into Left, Middle, and Right positions. When reading the characters, follow the order of an abacus, from left to right.
(Right Column)
The Lower Method: The first quotient (10) serves as the Square Method Fangfa: The area of the primary square based on the first digit of the root. This is called out against the first quotient on the left to remove the dividend in the center. Afterward, it is doubled to 20 to serve as the Side-strip Method Lianfa: The area of the two rectangles added to the square's sides, which is called out against the second quotient on the left to remove more from the dividend.
The (Corner) serves as the Corner Method Yufa: The small square that completes the larger square, based on the second digit of the root. This is also called out against the second quotient on the left to remove the remainder of the dividend.
(The units) are divided exactly, leaving no remainder.
(Middle Column - The Dividend)
(Hundreds)
(Tens)
(Units)
Add two to make eighty, and then call out "nine times nine" to remove the dividend of eighty-one; combined with the one in the lower position, it is completely removed.
The second quotient calls out "two times nine" to remove one hundred and eighty from the units position; the value of two itself is removed, and two is added to the lower position.
The first quotient calls out to remove its own value of one hundred; there is a remainder of two hundred.
Empty Space
(Left Column - The Quotients)
The Second Quotient (Units) This corresponds to the 9 on the right; call out "nine times nine" to remove the dividend of 81 exactly.
The First Quotient (Tens) The 9 on the left corresponds to the 2 on the right; call out "two times nine" to remove the dividend of 180. The 1 on the left corresponds to the 1 on the right; call out "one times one" to remove the dividend of 100.