מכשירין ב׳:ה׳ - ב׳:ו׳

רוחץ בה מיד – on Saturday night, and one does not need to wait until it warms up, for since that the majority are heathens, it was warmed with the knowledge of the heathens.

אם יש בה רשות – the kingdom is called the authority/power (i.e., usually, it refers to the Roman government in Mishnaic times in the Land of Israel), because the license/permission/power is in its hand to do according to its will. But not specifically a king, but if there was there an important man, who has ten servants that warm up for him ten kettles of water at one time, it is permissible to wash in it immediately, and even though the majority of the city is Israelite. For we say, for the sake of that important person [the waters] were warmed up.

היה בה ירק, נמכר -vegetable that was detached on the Sabbath, is sold on Saturday night.

אם רוב נכרים לוקח מיד – for since that the majority [of people] are heathens, I was detached with the knowledge of the heathens.

כדי שיבואו ממקום קרוב- where there are vegetables there. But even though that perhaps it was brought from a far-off place, one does not need to wait other than in order that they can harvest vegetables from a nearby place that has vegetables, and bring it from there. For the Sages did not say to wait until evening in order that it be done, but rather as a decree lest [a Jew] say to a heathen on the Sabbath: “Go and bring [vegetables],” and when he sees that he has to wait until evening in order that this thing will come, even from a nearby place, he should not say to a heathen to bring it to him on the Sabbath.

ואם יש שם רשות לוקח מיד – that it is with the knowledge of an important person that they regularly always bring, and not with the knowledge of the Israelite that they brought it.