A Supplement to the Miscellaneous Works of the Late Dr. ArbuthnotJames Carlile, and sold, 1751 - 81 pages |
From inside the book
Results 1-5 of 13
Page 33
... that the Victory fhould be to the three firft Games , and I had gain'd one already , it is ftill uncertain who fhall gain the third ; yet by a demonstrative C Rea- Reafoning , I can eftimate both the Value of his Of the Hazards of Game .
... that the Victory fhould be to the three firft Games , and I had gain'd one already , it is ftill uncertain who fhall gain the third ; yet by a demonstrative C Rea- Reafoning , I can eftimate both the Value of his Of the Hazards of Game .
Page 34
... Value of my Expectation be x ; by the former Principle having , I can purchafe as good an Expectation again in a fair and juft Game . Suppofe then I play with another on thefe terms , That every one ftakes * , * , and the Gainer give to ...
... Value of my Expectation be x ; by the former Principle having , I can purchafe as good an Expectation again in a fair and juft Game . Suppofe then I play with another on thefe terms , That every one ftakes * , * , and the Gainer give to ...
Page 35
... Value of a + b + c my Expectation is or the third part of the Sum of a , b , and c . F 3 OR the Investigation of which , fuppofe x be the value of my Expectation ; then x must be fuch , as I can purchase with it the fame Expectation in ...
... Value of a + b + c my Expectation is or the third part of the Sum of a , b , and c . F 3 OR the Investigation of which , fuppofe x be the value of my Expectation ; then x must be fuch , as I can purchase with it the fame Expectation in ...
Page 36
... Value of -3 . my Expectation . After the fame Method you will find , if I had an equal hazard to get a , b , c , or d , the Value of my Expectation a + b + c + d + , that is 4 the fourth part of the Sum of a , b , c , and d , & c . Prop ...
... Value of -3 . my Expectation . After the fame Method you will find , if I had an equal hazard to get a , b , c , or d , the Value of my Expectation a + b + c + d + , that is 4 the fourth part of the Sum of a , b , c , and d , & c . Prop ...
Page 44
... Value of my Expectation to his , is as 11 to 25 , i . e . less than i to 2 . By the fame Method of Calculation , you will find , that his hazard who undertakes to throw 6 at three three times with one Die , isa ; fo that 44 Of the ...
... Value of my Expectation to his , is as 11 to 25 , i . e . less than i to 2 . By the fame Method of Calculation , you will find , that his hazard who undertakes to throw 6 at three three times with one Die , isa ; fo that 44 Of the ...
Other editions - View all
A Supplement to the Miscellaneous Works of the Late Dr. Arbuthnot (Classic ... John Arbuthnot No preview available - 2018 |
A Supplement to the Miscellaneous Works of the Late Dr. Arbuthnot John Arbuthnot No preview available - 2022 |
A Supplement to the Miscellaneous Works of the Late Dr. Arbuthnot (Classic ... John Arbuthnot No preview available - 2017 |
Common terms and phrases
A's Hazard abfolute againſt bability becauſe befides Brafs Bribe Cafter Calculation caufe Chance which gives chufe Confent confequently Conftitution Country Curfed fhalt Cycloid Defire demonftrate different Throws do'st thou Doublets eafily eafy equal hazard exegi Expectation faid fame fecond Fellow-Gamefter ferve fhall fhall give fhare fhew fhould fince firft Game firſt fixth fome four Chances ftands ftill fubject fuch fuppos'd fwing gain gain'd Gamefters Games wanting greateſt Hazard is worth Hazard to B's himſelf Houſe Huygens's juft King laft Latitudinarian leaſt lefs Liberty likewife lofe Lofer Longitude Magiftrate moft muft muſt myſelf number of Chances number of Dice obferve otherwife Pendulum play Pofition Power prefent Prop Publick purchaſe purpoſe Reafon reft Royal Prerogative Setter ſhall Shillings Ship ſmall Stake Suppofe thee thefe Thermometer theſe third Propofition thofe thoſe tion undertakes to throw Wager to throw whofe zard
Popular passages
Page 23 - And it shall come to pass, if thou shalt hearken diligently unto the voice of the LORD thy God, to observe and to do all his commandments which I command thee this day, that the LORD thy God will set thee on high above all nations of the earth...
Page 25 - With look erect, I dart my longing eye, Seem wing'd to part, and gain my native...
Page 21 - A. No doubt but every Landed Man would be glad to be free from paying Two Shillings in the Pound ; but at the fame time I would not raife by another Tax Two Shillings in the Pound, nor One Shilling in the Pound for a Perpetuity. For Parliaments who haye no more to give, may be difappointed in the Redrcfs of their Grievances.
Page 31 - ... to no Rules. There are very few things which we know, which are not capable of being reduc'd to a Mathematical Reasoning; and when they cannot...
Page 18 - People ? A. The People ought to have more Security for all that is valuable in the World, than the Will of a mortal and fallible Man. A King of Britain may make as many Peers, and fuch as he pleafeth; therefore the laft and beft Security for the Liberties of the People, is a Houfe of Commons genuine and independent.
Page 24 - Cursed shall be the fruit of thy body, and the fruit of thy land, the increase of thy kine, and the flocks of thy sheep. Cursed shalt thou be when thou comest in, and cursed shalt thou be when thou goest out.
Page 28 - In vain tliou hopest for bliss on this poor clod, Return, and seek thy Father, and thy God: Yet think not to regain thy native sky, Borne on the wings of vain philosophy; Mysterious passage ! hid from human eyes ; Soaring you'll sink, and sinking you will rise Let humble thoughts thy wary footsteps guide, Regain by meekness what you lost by pride.
Page 25 - Vile as the grinning maftiff at my gate, Calls off from heav'nly truth this reas'ning me, And tells me, I'ma brute as much as he.
Page 21 - Impoflibility 5 for if my Tenant has any new Tax laid upon him, I am afraid he will not pay me fo much Rent ; fo that the new Tax muft ftill affect Land.
Page 15 - A. Becaufe Mankind in a State of Slavery and Freedom is a different Sort of Creature , for Proof of this I have read what the Greeks...