Given a sentence in English language, translate the sentence to Tagalog language keeping the meaning of the original sentence intact.

English sentence: In addition, we can't go around 1 dot at a time (it will be a convex polygon instead), so we subtract 1 from the answer. Thus, .
Bilang karagdagan, hindi kami maaaring pumunta sa paligid ng 1 tuldok sa isang oras (ito ay isang matambok polygon sa halip), kaya naming magbawas 1 mula sa sagot. Sa gayon, .

English sentence: Leibniz demanded a retraction saying that he had never heard of the calculus of fluxions until he had read the works of Wallis . Keill replied to Leibniz saying that the two letters from Newton, sent through Oldenburg, had given:
Leibniz hinihingi ng isang pagbawi sinasabi niya na hindi naririnig ng calculus ng fluxions hangga't hindi niya basahin ang mga gawa ng Wallis. Keill tumugon sa Leibniz kasabihan na ang dalawang titik mula sa Newton, na ipinadala sa pamamagitan ng Oldenburg, had given:

English sentence: In 1820 the prize was awarded to Carlini and Plana and to Damoiseau by a committee of which Laplace was a member.

Sa 1,820 ang premyo ay iginawad sa Carlini at Plana at sa Damoiseau sa pamamagitan ng isang komite na kung saan Laplace ay isang kasapi.