INF 



INF 



infant is under the parents' power, and 

 living in the house with them, he shall not 

 be liable even for necessaries. 



If a tailor trust a young man under age 

 for clothes, to an extravagant degree, he 

 cannot recover ; and he is bound to know 

 whether he deals at'the same time with 

 any other tailor. 



A promissory note given by an infant 

 for board and lodging, and for teaching 

 him a trade, is valid, and an action will 

 lie for the money. And debts contracted 

 during infancy are good considerations to 

 support a promise made, when a person 

 is of full age to pay them ; but the pro- 

 mise must be express. A bond, without 

 a penalty, for necessaries, will bind an 

 infant ; but not a bond with a penalty. 

 Legacies to infants cannot be paid either 

 to them or their parents. An infant can- 

 not be a juror, neither can he be an at- 

 torney, bailiff, factor, or receiver. 



By the custom of London, an infant 

 unmarried and above the age of fourteen, 

 if under twenty one, may bind himself 

 apprentice to a freeman of London, by 

 indenture, with proper covenants, which 

 covenants, by the custom of London, will 

 be as binding as if of age. 



If an infant draw a bill of exchange, 

 yet he shall not be liable on the custom 

 of merchants, but he may plead infancy, 

 in the same manner as he may to any 

 other contract. 



An action on an account stated will not 

 lie against an infant, though it be for ne- 

 cessaries. 



INFANTRY, in military affairs, denotes 

 the whole body of foot soldiers. ' 



INFINITE, that which has neither be- 

 ginning nor end : in which sense God 

 alone is infinite. See GOD. 



INFINITE, or INFINITELY, great line, in 

 geometry, denotes only an indefinite or 

 indeterminate line, to which no certain 

 bounds, or limits, are prescribed. 



INFINITE quantities. The very idea of 

 magnitudes infinitely great, or such as ex- 

 ceed any assignable quantities, does in- 

 clude a negation of limits: yet, if we nearly 

 examine this notion, we shall find that 

 such magnitudes are not equal among 

 themselves, but that there are really, be- 

 sides infinite length and infinite area, 

 three several sorts of infinite solidity ; all 

 of which are quantitates sui generis, and 

 that those of each species are in given 

 proportions. 



Infinite length, or a line infinitely long, 

 is to be considered either as beginning at 

 a point, and so infinitely extended one 

 way, or else both ways from the same 



point ; in which case the one, which is a 

 beginning infinity, is the one half of the 

 whole, which is the sum of the beginning 

 and ceasing infinity ; or, as may be said 

 of infinity, a farle ante and a parte post, 

 which is analogous to eternity in time and 

 duration, in which there is always as much 

 to follow as is past, from any point or mo- 

 ment of time : nor doth the addition or 

 subduction of finite length, or space of 

 time, alter the case either in infinity or 

 eternity, since both the one or the other 

 cannot be any part of the whole. As to 

 infinite surface, or area, any right line, in- 

 finitely extended both ways on an infinite 

 plane, does divide that infinite plane into 

 equal parts, the one to the right, and the 

 other to the left of the said line; but if 

 from any point, in such a plane, two right 

 lines be infinitely extended, so as to make 

 an angle, the infinite area, intercepted 

 between those infinite right lines, is to 

 the whole infinite plane as the arch of a 

 circle, on the point of concourse of those 

 lines as a centre, intercepted between the 

 said lines, is to the circumference of the 

 circle ; or, as the degrees of the angle to 

 the three hundred and sixty degrees of a 

 circle : for example, right lines meeting 

 at a right fcngle do include, on an infinite 

 plane, a quarter part of the whole infinite 

 area of such a plane. 



But if two parallel infinite lines be sup- 

 posed drawn on such an infinite plane, 

 the area intercepted between them will 

 be likewise infinite ; but at the same time 

 will be infinitely less than that space, 

 which is intercepted between two infinite 

 lines that are inclined, though with never 

 so small an angle ; for that, in the one 

 case, the given finite distance of the pa- 

 rallel lines diminishes the infinity in one 

 degree of dimension ; whereas in a sec- 

 tor, there is infinity in both dimensions: 

 and consequently the quantities are the 

 one infinitely greater than the other, and 

 there is no proportion between them. 



From the same consideration arise the 

 three several species of infinite space or 

 solidity ; for a parallelopiped, or a cylin- 

 der, infinitely long, is greater than any 

 finite magnitude, how great soever ; and 

 all such solids, supposed to be formed on 

 given bases, are as those bases in propor- 

 tion to one another. But if two of these 

 three dimensions are wanting, as in the 

 space intercepted between two parallel 

 planes infinitely extended, and at a finite 

 distance, or, with infinite length and 

 breadth, with a finite thickness, all such 

 solids shall be as the given finite distances 

 one to another ; but these quantities, 



