14 Nissan — the day the Korban Pesach must be roasted — coincides with Erev Shabbos. The lamb must go into the oven, but Shabbos is approaching.
The Calendrical Collision
The Korban Pesach must be roasted whole over fire (Shemot 12:9) and eaten that night — 14 Nissan. When 14 Nissan falls on a Friday, the lamb must be lowered into the oven precisely as Shabbos begins. Normally one may not initiate cooking that will continue into Shabbos. The Mishnah rules that the Korban Pesach is a special case — and extends the ruling to two other fire-related situations.
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הַפֶּסַח בַּתַּנּוּר
מְשַׁלְשְׁלִין עִם חֲשֵׁכָה
The Pesach lamb may be lowered into the oven at nightfall — even though it will continue roasting on Shabbos. The korban obligation overrides the normal pre-Shabbos cooking restriction.
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מְדוּרַת בֵּית הַמּוֹקֵד
מַאֲחִיזִין אֶת הָאוּר
The fire of the Beis HaMoked — the Temple's fire chamber — may be lit as Shabbos begins. Kohanim warming themselves there on cold nights require the fire to be going.
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בַּגְּבוּלִין
כְּדֵי שֶׁיֶּאֱחֹז בְּרֻבָּן
Outside Jerusalem — a bonfire or hearth may be lit on Erev Shabbos as long as the fire has caught in the majority of the wood before Shabbos begins. Then it may continue burning.