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But much still remained to be done, and especially to resolve the problems connected with it in a “general and uniform manner.” “Pascal,” says Bossut, “devised within eight days, and in the midst of cruel sufferings, a method which embraced all the problems—a method founded upon the summation of certain series, of which he had given the elements in his writings accompanying his ‘Traité du Triangle Arithmétique.’ From this discovery there was only a step to that of the Differential and Integral Calculus; and it may be confidently presumed that, if Pascal had proceeded with his mathematical studies, he would have anticipated Leibnitz and Newton in the glory of their great invention.”

It is not a game of chance for the bank ah, it is exact, mathematical c'est une question d' arithmetique, seulement, nest-ce pas, messieurs?" "Perhaps," admitted DeLong, "but it doesn't explain why I am losing to-night while everyone else is winning." "We are not winning," persisted Craig. "After I have had a bite to eat I will demonstrate how to lose by keeping on playing."

The priestes bring vp the children, both in the doctrine of their holye scriptures, and also in the other kindes of learning necessary for the commune life, and chiefly in Geometry and Arithmetique.

So to supper and to bed. The Queen mends apace, but her head still light. My mind very heavy thinking of my great layings out lately, and what they must still be for clothes, but I hope it is in order to getting of something the more by it, for I perceive how I have hitherto suffered for lack of going as becomes my place. After a little discourse with my wife upon arithmetique, to bed. 31st.

So my wife rose anon, and she and I all the afternoon at arithmetique, and she is come to do Addition, Subtraction, and Multiplicacion very well, and so I purpose not to trouble her yet with Division, but to begin with the Globes to her now.

Lane..... So by coach home and to my office, where Browne of the Minerys brought me an Instrument made of a Spyral line very pretty for all questions in Arithmetique almost, but it must be some use that must make me perfect in it. So home to supper and to bed, with my mind 'un peu troubled pour ce que fait' to-day, but I hope it will be 'la dernier de toute ma vie.

Home and to my office, where I taught my wife some part of subtraction, and then fell myself to set some papers of my last night's accounts in order, and so to supper home, and after supper another bout at arithmetique with my wife, and then to my office again and made an end of my papers, and so home to prayers, and then to read my vowes, and to bed. 2d.

Home and to my office, where I taught my wife some part of subtraction, and then fell myself to set some papers of my last night's accounts in order, and so to supper home, and after supper another bout at arithmetique with my wife, and then to my office again and made an end of my papers, and so home to prayers, and then to read my vowes, and to bed. 2d.

At last we broke up, and walk home together, and I to see Sir W. Pen, who is fallen sick again. I staid a while talking with him, and so to my office, practising some arithmetique, and so home to supper and bed, having sat up late talking to my poor wife with great content. 3rd.

Up to the office, where we sat till noon and then I home to dinner, and after dinner with my wife to her study and there read some more arithmetique, which she takes with great ease and pleasure. This morning, hearing that the Queen grows worse again, I sent to stop the making of my velvet cloake, till I see whether she lives or dies.