Surya Siddhanta
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क्षेत्राण्य् एवम् अजादीनाम् तिर्यग्ज्याभिः प्रकल्पयेत् । अयनाद् अयनम् चैव कक्षा तिर्यक् तथापरा॥
- fix, by oblique chords, the spaces (hshetra) of Aries and the rest ; and so likewise another hoop, running obliquely from solstice (ayana) to solstice.
english translation
क्रान्तिसञ्ज्ञा तया सूर्यः सदा पर्येति भासयन् । चन्द्राद्याश् च स्वकैः पातैर् अपमण्डलम् आश्रितैः॥
And called the circle of declination (krdnti) : upon that the sun constantly revolves, giving light : the moon and the other planets also, by their own nodes, which are situated in the ecliptic (apamandala).
english translation
ततो +अपकृष्टा दृश्यन्ते विक्षेपान्तेष्व् अपक्रमात् । उदयक्षितिजे लग्नम् अस्तम् गच्छच् च तद्वशात्॥
Being drawn away from it, are beheld at the limit of their removal in latitude (vikshepa) from the corresponding point of declination. The orient ecliptic-point (lagna) is that at the orient horizon ; the Occident point (astamyachat) is similarly determined.
english translation
लङ्कोदयैर् यथासिद्धम् खमध्योपरि मध्यमम् । मध्यक्षितिजयोर् मध्ये या ज्या सान्त्याभिधीयते॥
The meridian ecliptic-point (madhyama) is as calculated hy the equivalents in right ascension (lankodayas) , for mid-heaven (khamadhya) above. The sine which is between the meridian (madhya) and the horizon (kshitija) is styled the day-measure (antya).
english translation
ज्ञेया चरदलज्या च विषुवत् क्षितिजान्तरम् । कृत्वोपरि स्वकम् स्थानम् मध्ये क्षितिजमण्डलम्॥
And the sine of the sun's ascensional difference (caradala) is to be recognized as the interval between the equator (vishuvat) and the horizon. Having turned upward one's own place, the circle of the horizon is midway of the sphere.
english translation