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

Tagalog sentence: ... ang isa ay para ipalagay na ang isang malaking proporsyon ng mga mala-Ptolomi bituin katalogo ay katwiran sa mga Hipparchan obserbasyon na Hipparchus na ginamit para sa pagtitipon ng ikalawang bahagi ng kanyang "kuro sa Aratus".
... one has to assume that a substantial proportion of the Ptolemaic star catalogue is grounded on those Hipparchan observations which Hipparchus already used for the compilation of the second part of his "Commentary on Aratus".

Tagalog sentence: At gaano higit na mas masalimuot ang isang buhay kaysa sa isang dula ni Shakespeare?
And how much more complex is biological life than a Shakespearean play?

Tagalog sentence: Pagkatapos ay nagkaroon ng raffle draw sa pamumuno ni Gng. Tubelleza na sinundan ng ikatlong palaro na Stack Attack na kung saan ang nagwagi ay Animo Green Eagles. Nagkaroon muli ng raffle draw sa pamumuno ni Bb. Malou Cruz at sinundan ng ikaapat na palaro na Amazing Race na kung saan ang nagwagi ay ang Blue Spartans.

After the introduction of the different teams a prayer was recited that was lead by Eric Balajadia. It was followed by the singing of our national anthem conducted by Nickole Diaz. Father Orlando Cantillion, our school director, also gave some few reminders in playing like playing for fun and friendship.