पञ्चसिद्धान्तिका (आचार्य वराहमिहिर - सूर्य, रोमक, पौलिश, वासिष्ठ एवं पितामह सिद्धान्त)

V. 5 V.-PAULISA MOON'S CUSPS 143 of the same direction as the difference in declination etc." Declination had direction, but what direction can be attributed to the difference in declination as given in the text? Or how can the word for declination mean difference in declination? Whatever the latitude, 'the result' is zero at the junction of the ayanas, which means its sign, i.e. its additiveness or subtractiveness changes there, and therefore the ayana should be a criterion for additiveness or subtractiveness. The very name of this correction, Āyanadṛkkarma (this name is not mentioned here by the author, but it is this) will suggest that the ayana of the Moon must form part of the criterion. Another thing must be mentioned: The work given here is very rough, because spherical tri- angles are taken as plane triangles, and another correction called Ākṣadṛkkarma which is to be done for the sake of the latitude of the observer has been omitted. Therefore the reader should refer to works like the Mahābhāskarīya and Siddhānta Śiromaṇi for greater accuracy. [चन्द्रशृङ्गोन्नतिः तत्परिलेखाश्च] द्विगुणेऽ(क्षे) 'तिथ्यंशः' शृङ्गमुदक् तुङ्गमुडुगणाऽधिपतेः । देयं च भुजादेतच्छौक्ल्यं कर्णाद् द्विषट्कांशम् ॥ ४ ॥ अपमान्तरविक्षेपा(वे)कान्यत्वे युतोनितौ कोटिः । कर्णो रवीन्दुविवरं तत्कृतिविवरात् पदं बाहुः ॥ ५ ॥ Diagram of the Moon's cusps 4. Multiply the latitude of the place in degrees by two and divide by fifteen. By the resulting number of aṅgulas or digits (measured along the rim), the northern tip of the horn of the Moon should be raised upwards (as caused by the latitude at the time of first visibility). This raising should be directed upwards like the 'Bhuja' which we are going to mention. The number of digits of illumination of the Moon's orb, (usually called merely digits), is the twelfth part of the difference in longitude in degrees, last found, and should be directed like 'Hypotenuse', which we are going to mention. 5. The difference in declination last found should be added to the Moon's latitude or subtracted from it, as the directions of the Moon's ayana and its latitude be the same or different. (This refers to the visibility in the west in the evening. With reference to the visibility in the east in the morning, the addi- tion and subtraction, is done vice versa). The result is called 'Koṭi'. The differ- ence in longitude is called 'the Hypotenuse'. The 'Bhuja' is the square root of the difference of the squares of the 'Hypotenuse' and the 'Koṭi'. 4-7. Quoted by Utpala on BS 4.15. 5a. A.अनान्तर; C.D.अयनान्तर. A1.विक्षेपा; 4a. A.द्विगुणेच्छे; C.U.दिनगुणेच्छा; D.द्विगुणाक्षे A2.धिक्षेपा b. A.शृंगमुदकुंमुदुगुणाधिपतिः b. A1.2.वैकानले; A2.वैकानचे U.वैकान्यत्वे d. A.कर्णाद्विष्टकांश: D.कर्णाद्विष्टकांशः A.यातोनिता; C.युतोनिता c. A.रवींदुविवरं