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

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

Panchasiddhantika of Acharya Varahamihira with Commentary

आचार्य वराहमिहिर द्वारा

DevanagariHindipublished419 पृष्ठ

पृष्ठ 294, कुल 419 में से

संदर्भ में पढ़ें
पृष्ठ 294

268 PAÑCASIDDHĀNTIKĀ XIV.11 Local latitude (from the equinoctial midday shadow and vice versa) 9-10 (a-b). Lay off the (equinoctial midday) shadow towards the north, and let a gnomon be caused to fall to the west (or east) from the tip of the shadow. Then stretch a thread from the centre along the hypotenuse (of the gnomon triangle) up to the circumference (of the circle drawn on the ground). The (angular) distance between the point thus reached and the equinoctial point (i.e. the west or east point, whichever is nearer) is the latitude of the place. Similarly, from the latitude one may find the (equinoctial midday) shadow. In Fig. 3, let ENWS be the circle drawn on level ground, E, N, W, and S being the east, north, west and south cardinal points. OA is the equinoctial midday shadow of the gnomon, AB the gnomon which is caused to fall to the west from the tip of A of the equinoctial midday shadow. OBP is the thread stretched along the hypotenuse OB up the point P on the circumference of the circle. Then, the angle PON or the arc PN is equal to the altitude of the equinoctial midday Sun, i.e., the colatitude of the place, and the complementary angle POW or arc PW is equal to the zenith dis- tance of the equinoctial midday Sun, i.e., the latitude of the place. Fig. XIV.3 [रेखांशः] इष्टेऽहनि बुद्ध्वाऽपममक्षादधिकं यदूनं वा ॥ १० ॥ तज्ज्या तिर्यग्रेखा विषुवद्रेखा स्थिता स्पृशति यस्मिन् । तच्चापांशसमानो ज्ञेयोऽर्को गोलभागेन ॥ ११ ॥ Sun’s longitude 10 (c-d)-11. On the desired day find the Sun’s declination, no matter whether it is greater or less than the latitude. Find the Rsine of that and insert it bet- ween the ecliptic and the equator (at right angles to the latter, in its own quadrant). The arc of the ecliptic measured eastwards from the first point of Aries up to the point where the Rsine touches the ecliptic, should be known as (the longitude of) the Sun. 9a. A.विन्यस्यो; B.विष्टभ्यस्यो (B2.विन्यं) B.दृक् for दृक् B. छाया and hapl. om of one छाया b. A.पात्पः; B.पाताः d. A.सूत्रं मा B2.परिधो; B1.3.एरिधो 10a. A.तद्विष्टंतरं; B.तद्विष्टंतरं b. A.कल्पये. B. छाया 10c. A.बुध्यायन्; B.बुद्ध्ययनक्षा०; D.बुध्धायन d. A1.०महाधिकं 11a. A1.तज्या; A2.तज्पा a-b. B. Hapl om. ग्रे-खादिषु c. B1.2.चापाश d. B.०मान ज्ञेयोको B.भागेना