Verse 1.15

Beginning with the rising sign are the houses related to the body (1st house), family (2nd house), siblings (3rd house), kinsman (4th house), a child (5th house), an enemy (6th house), a wife (7th house), and death (8th house), auspiciousness (9th house), business (10th house), income (11th house), and expenditure (12th house). The upachaya houses are the zodiac signs known as Ari (the 6th house), Karma (the 10th house), Labha (the 11th house), and Dushchikya (the 3rd house). Others [say] it is not always so.

English translation by Michael D Neely (2007)

Word-for-Word grammar analysis breakdown

horā = the rising sign
ādi = beginning with
horādayas (stem form: horādi) (masculine, nominative, plural) = Beginning with the rising sign
tanu = the body (1st house)
kuṭumba = family (2nd house) sahottha = siblings (3rd house)
bandhu = kinsman (4th house) putra = a child (5th house)
ari = an enemy (6th house)
patnī = a wife (7th house) maraṇa = death (8th house)
tanukuṭumbasahotthabandhuputrāripatnīmaraṇāni (stem form: tanukuṭumbasahotthabandhuputrāripatnīmaraṇa) (neuter, nominative, plural) = the body (1st house), family (2nd house), siblings (3rd house), kinsman (4th house), a child (5th house), an enemy (6th house), a wife (7th house), and death (8th house)
śubha = auspiciousness (9th house)
āspada = business (10th house)
āya = income (11th house) śubhāspadāyās (stem form: śubhāspadāya)
(masculine, nominative, plural) = auspiciousness (9th house), business (10th house), income (11th house)
riḥpha = related to expenditure (12th house)
ākhya = known as
riḥphākhyam (stem form: riḥphākhya) (neuter, nominative, singular) = related to expenditure (12th house)
iti (punctuation) (indeclinable) = (close quotes)
upacayāni (stem form: upacaya) (neuter, nominative, plural) = the upachayas (increase)
ari = Ari (the 6th house)
karma = Karma (the 10th house)
lābha = Labha (the 11th house)
duścikya = Dushchikya (the 3rd house)
saṃjñita = known as
gṛha = the zodiac signs arikarmalābhaduścikyasaṃjñitagṛhāṇi (stem form: arikarmalābhaduścikyasaṃjñitagṛha) (neuter, nominative, plural) = the zodiac signs known as Ari (the 6th house), Karma (the 10th house), Labha (the 11th house), and Dushchikya (the 3rd house)
na (particle of negation) (indeclinable) = not
nityam (stem form: nitya) (neuter, nominative, singular) = always so
eke (pronoun, 3rd person, masculine, nominative, plural) = other ones
I found something very interesting in this verse. If one correlates the signs to houses (e.g., Aries is related to the 1st house, Taurus is related to the 2nd house, Gemini is related to the 3rd house), then the Upachaya houses are related to Mercury and Saturn. Mercury is related to the signs Gemini (when plants and crops first germinate and pollinate) and Virgo when a plants and crops have matured for harvest. These signs show the start of increase in terms of growing and harvesting a product. Saturn also shows increase, but it is in terms of storage and garbage as the signs of Capricorn and Aquarius indicate a time of barrenness and accumulation of the past. My unique theories on Exaltation and Debilitation indicate that Mercury and Saturn are the strongest planets in the fall and winter time of the day, year, and human lifetime. Saturn disintegrates life and leaves it in a garbage pile, a heap. A heap is a possible definition of the word “upachaya.” Mercury creates heaps of product during the productive cycle of nature.