Hayanaratna 1.253

This is the meaning. First make the lagna (rising sign) for your wanted time with your own country's risings. Then, to get the 10th, treat that same lagna as the Sun. Find the chara (day-length difference) by the rule "from the Sun with the ayanamsha (the zodiac shift) added". Then find the half-night by this rule: "15 ghatikas (24-minute units), plus or minus the chara palas (24-second units), are the half-day. The half-night is the reverse in the southern half." Then take the half-night itself as the wanted time. Treat the lagna found before as the Sun. Find a lagna with the Lanka risings for no latitude, as told. That lagna is the 4th. Then the first lagna and the 4th, less six signs, are the 7th and the 10th in turn.

Simple meaning: Steps for the 10th house: rising sign, then its day-length difference, then half the night, then a new rising sign (the 4th); less six signs gives the 7th and 10th.