The Text

1801 Constitutional Amendment III [Senate reorganized.]:
That from the first Monday in July next, the number of the senators shall be permanently thirty-two, and that the present number of senators shall be reduced to thirty-two in the following manner, that is to say: The seats of the eleven senators composing the first class, whose time of service will expire on the first Monday in July next, shall not be filled up; and out of the second class the seats of one senator from the middle district, and of one senator from the southern district, shall be vacated by the senators of those districts belonging to that class, casting lots among themselves; out of the third class the seats of two senators from the middle district, and of one senator from the eastern district shall be vacated in the same manner; out of the fourth class the seats of one senator from the middle district, of one senator from the eastern district, and of one senator from the western district, shall be vacated in the same manner; and if any of the said classes shall neglect to cast lots, the senate shall, in such case, proceed to cast lots for such class or classes so neglecting. And that eight senators shall be chosen at the next election, in such districts as the legislature shall direct, for the purpose of apportioning the whole number of senators amongst the four great districts of this state, as nearly as may be, according to the number of electors qualified to vote for senators, which shall be found to be in each of the said districts by the census above mentioned; which eight senators, so to be chosen, shall form the first class.
1801 Constitutional Amendment IV [Future apportionments of legislature.]:
That from the first Monday in July next, and on the return of every census thereafter, the number of the assembly shall be increased at the rate of two members for every year, until the whole number shall amount to one hundred and fifty; and that upon the return of every such census, the legislature shall apportion the senators and members of the assembly amongst the great districts and counties of this state, as nearly as may be, according to the number of their respective electors; Provided, that the legislature shall not be prohibited by anything herein contained, from allowing one member of assembly to each county, heretofore erected within this state.

The full provision includes both the amendment and the text it amends – NY Constitution 1777, Article XII:
That the election of senators shall be after this manner: that so much of this state as is now parcelled into counties, be divided into four great districts: the southern district to comprehend the city and county of New York, Suffolk, Westchester, Kings, Queens, and Richmond counties; the middle district to comprehend the counties of Dutchess, Ulster, and Orange; the western district, the city and county of Albany, and Tryon county; and the eastern district, the counties of Charlotte, Cumberland, and Gloucester. That the senators shall be elected by the freeholders of the said districts, qualified as aforesaid, in the proportions following, to wit: in the southern district, nine; in the middle district, six; in the western district, six; and in the eastern district, three. AND BE IT ORDAINED. That a census shall be taken as soon as may be, after the expiration of seven years from the termination of the present war, under the direction of the legislature; and if, on such census, it shall appear that the number of senators is not justly proportioned to the several districts, that the legislature adjust the proportion, as near as may be, to the number of freeholders, qualified as aforesaid, in each district. That when the number of electors within any of the said districts shall have increased one twenty-fourth part of the whole number of electors which, by the said census, shall be found to be in this state, an additional senator shall be chosen by the electors of such district. That a majority of the number of senators, to be chosen as aforesaid, shall be necessary to constitute a senate sufficient to proceed upon business; and that the senate shall, in like manner with the assembly, be the judges of its own members. AND BE IT ORDAINED, That it shall be in the power of the future legislatures of this state, for the convenience and advantage of the good people thereof, to divide the same into such further and other counties and districts as shall to them appear necessary.