| 1. | Aryabhatta s magnum opus , the aryabhattiya was translated into latin in the 13th century
阿雅巴塔的巨著《阿雅巴提雅》在十三世纪的时候被翻译成拉丁文。 |
| 2. | His book , the aryabhatiya , published in 498 ad described numerical and geometric rules for eclipse calculations
他的书《阿雅巴提雅》 ，发表于公元498年，描述了日食计算的数字和几何规则。 |
| 3. | Aryabhatta is said to have been born in 476 a . d . at a town called ashmaka in today ' s indian state of kerala
阿雅巴塔据说是出生于公元476年，在一个今天叫喀拉拉邦（印度西南部）的阿萨玛卡的印度市镇上出生。 |
| 4. | Indian astronomers also propounded the theory that the earth was a sphere . aryabhatta was the first one to have propounded this theory in the 5th century
印度天文学家也提出地球是球体的理论。阿雅巴塔是公元五世纪第一位提出此理论的人。 |
| 5. | Indian astronomers like aryabhatta and varahamihira who lived between 476 and 587 a . d . made close approaches to the concept of heliocentrism
印度天文学家，像活在公元476年和公元587年之间的阿雅巴塔和瓦拉哈米希拉，使得接近日心说的观念。 |
| 6. | Aryabhatta an indian mathematician who lived in the 5th century a . d . has referred to bijaganitam in his treatise on mathematics , aryabhattiya
阿雅巴塔，一位生活在公元五世纪左右的印度数学家在他的数学论文《阿雅巴提雅》提及到比杰甘尼塔。 |
| 7. | But considering that aryabhatta discovered these facts 1 , 500 years ago , and 1 , 000 years before copernicus and galileo makes him a pioneer in this area too
考虑到阿雅巴塔在1 ， 500年前就发现了这些事实，比哥白尼和伽俐略早1 ， 000 ，他也是这个领域的先锋。 |
| 8. | Aryabhatta ' s methods of astronomical calculations expounded in his aryabhatta - siddhatha were reliable for practical purposes of fixing the panchanga ( hindu calendar )
阿雅巴塔在他的《阿雅巴塔? ?释哈塔》解释了他的计算模型，相关的实际用途是用作修正印度历法。 |
| 9. | Aryabhatta s ideas about eclipses and the sun being the source of moonlight may not have caused much of an impression on european astronomers as by then they had come to know of these facts through the observations of copernicus and galileo
阿雅巴塔有关日蚀和太阳是月亮的光源这些思想在欧洲天文学家中没有引起很大注意，因为他们是从哥白尼和伽俐略得知这些的。 |
