Bhaskara II Acharya/Lilavati
Jump to navigation
Jump to search
Problems by Bhaskara II Acharya: Lilavati
Chapter $\text {V}$. Progressions
Problem $124$
- In an expedition to seize his enemy's elephants, a king marched $2$ yojanas on the first day.
- Say, intelligent calculator, with what increasing rate of daily march did he proceed, since he reached his foe's city, a distance of $80$ yojanas, in a week?
Chapter $\text {VI}$. Plane Figure
Problem $150$
- A snake's hole is at the foot of a pillar which is $15$ cubits high and a peacock is perched on its summit.
- Seeing a snake, at a distance of thrice the pillar's height, gliding towards his hole, he pounces obliquely upon him.
- Say quickly at how many cubits from the snake's hole do they meet, both proceeding an equal distance?
Chapter $\text {XIII}$. Combination of Digits
Example $269$
- How many are the variations of the form of the god Sambhu by the exchange of his $10$ attributes held reciprocally in his several hands:
- namely, the rope, the elephant's hook, the serpent, the tabor, the skull, the trident, the bedstead, the dagger, the arrow, and the bow:
- as those of Hari by the exchange of the mace, the discus, the lotus and the conch?