Two variables determine the ruling — which instrument was found, and on which day. The mishnah covers all four combinations
Found Knife or Cleaver — Ruling by Day and Instrument
סַכִּין
Knife — slaughter knife
קוֹפִיץ
Cleaver — chopping blade
י״ג נִיסָן
13 Nissan
Prepare First
שׁוֹנֶה וּמַטְבִּיל
Repeat and immerse. Time remains on the 13th to prepare the knife before Erev Pesach. שׁוֹנֶה means to repeat — either a second immersion (tevillah), or according to the Rambam, a second sprinkling with mei chattas (purification waters).
Always Prepare
שׁוֹנֶה וּמַטְבִּיל
Repeat and immerse — same requirement as the knife. A cleaver always requires this preparation regardless of the day found. שׁוֹנֶה: repeat the tevillah, or per the Rambam, repeat the sprinkling with mei chattas.
י״ד נִיסָן
14 Nissan
Use Immediately
שׁוֹחֵט בָּהּ מִיָּד
Slaughter with it immediately. On Erev Pesach everyone has prepared their knives — a found knife is assumed to be tahor and ready. The preparation window has closed.
Always Prepare
שׁוֹנֶה וּמַטְבִּיל
Even on the 14th — a cleaver must always repeat the tevillah (or per Rambam, repeat the mei chattas sprinkling). Its nature means it is never assumed ready without preparation.
The 13th of Nissan is the last day for full preparation of the slaughter knife. Found on the 13th — there is still time to repeat the tevillah (or per the Rambam, repeat the mei chattas sprinkling) and immerse it before Erev Pesach begins. Found on the 14th — that window has closed and the presumption of readiness takes over. 13 Nissan is the deadline for knife preparation, just as other mishnayot anchor preparation deadlines to the days before Pesach.
כְּשֶׁחָל י״ד בְּשַׁבָּת: The Kofetz — Three Further Rulings
The last three clauses of the mishnah all refer to the קוֹפִיץ. Having established that the cleaver always requires שׁוֹנֶה וּמַטְבִּיל, the mishnah now carves out two exceptions — and closes with the tied-accessory rule
קוֹפִיץ — When It May Be Used Without Preparation
Case 1 — Kofetz Found When 14 Nissan Falls on Shabbat
חָל י״ד בְּשַׁבָּת — שׁוֹחֵט בָּהּ מִיָּד
When Erev Pesach falls on Shabbat and a קוֹפִיץ is found — it may be used immediately for whatever purpose it is needed. שׁוֹחֵט here does not mean ritual slaughter — the קוֹפִיץ is a chopping and butchering blade, not a slaughter knife, and in any case the Korban Pesach cannot have its bones broken so the cleaver would not be used for it. The point of the mishnah is simply that since immersion is impossible on Shabbat, the found cleaver is presumed tahor and may be used as needed.
Exception to the usual cleaver rule: when preparation is impossible, tahara is presumed.
Case 2 — Kofetz Found on 15 Nissan (Yom Tov)
בַּחֲמִשָּׁה עָשָׂר — שׁוֹחֵט בָּהּ מִיָּד
A קוֹפִיץ found on 15 Nissan — the first day of Yom Tov — may likewise be used immediately for its purpose of chopping and butchering. The Korban Pesach has already been slaughtered on the 14th; this cleaver is being used for other korbanos of Yom Tov (shelamim, chagigah). The presumption of tahara for Yom Tov slaughter applies, and again immersion would be impossible.
The 15th ruling flows from Yom Tov tahara presumption — parallel to, but distinct from, the Shabbat override.
הַסִּיּוּם: A Cleaver Tied to a Knife
The mishnah closes with its third and final ruling about the קוֹפִיץ — the accessory that follows the principal instrument
A קוֹפִיץ found tied to a סַכִּין is treated like the knife itself. Ordinarily the cleaver always requires שׁוֹנֶה וּמַטְבִּיל — repeat the tevillah or repeat the mei chattas sprinkling — regardless of the day found. But when it is tied to a knife, it takes on the knife's ruling: if the knife may be used immediately, so may the attached cleaver. The accessory follows the principal instrument. Attachment to the knife is a leniency for the cleaver — it sheds its own stricter standard and adopts the knife's more lenient one.
Shekalim 8:3 is a mishnah about found objects, but its deeper structure is a calendar ruling. The knife found on 13 Nissan requires שׁוֹנֶה וּמַטְבִּיל — a repeated tevillah, or per the Rambam, a repeated mei chattas sprinkling — before it may be used. The knife found on 14 Nissan may be used immediately: the preparation window has closed and the presumption of readiness takes over. The cleaver is held to a stricter standard throughout — it always requires preparation — but the mishnah's final three clauses carve out exceptions for the קוֹפִיץ when Shabbat or Yom Tov make preparation impossible, and when it travels tied to a knife. In those cases the cleaver, whose purpose is to chop and butcher rather than to slaughter, follows the leniency of the knife it accompanies.