Accum^s Treatise on Adulterations of Food. -459 



a given length, fixed at a given point above an inclined plane of a 

 given inclination ; it is required to determine the position of ths 

 beam, weight sustained by the cord, and pressure against the in- 

 clined plane, when the beam is in equilibrio. 



17- Find tlie rectification and quadrature of the magnetic curve, 

 which is such, that if lines be drawn from the poles to anv point 

 in the curve, and ^ and '\i be the angles they make with the line 

 joining tliem, cos <$ + cos ;[/ = f, a constant quantity. 



IS. Re{|uiied a mnnber consisting of six digits a b _c d ef such 

 that, its muiti|jles by 1, 2, 3, 4, 5, 6 may contain amongst them 

 the following arrangements ; 



19. It is well known that the formula x'^-\-x-\-A\ contains a 

 great number of primes : prove tiiat wlien x is of either of the 

 two following forms it cannot be a primCj jc=53 a + 3 and x=. 

 97a-S. 



20. If the beam in question 401 instead of resting upon the 

 curve, be at liberty to slide freely over the prop and descend by 

 the force of gravity, it is required to determine the motion of its 

 centre of gravity. 



Preparing for Piiblicatinn. 

 Mr. Accum has in the press, A Treatise on Adulterations of 

 Food, and on Culinary Poisons; exhibiting the fraudulerit sophi- 

 stications of Bread, Wine, Water, Tea, Coffee, Cream, Spirituous 

 Liquors, Cheese, Mustard, Vinegar, Olive Oil, Pepper, Confec- 

 tionary, and other articles employed in domestic Qilconomy, and 

 Methods of detecting them. The work will form one volume 

 twelves, containing upwards of oUO pages, and will be published 

 in the course of next month. 



A Translation of M. Lennec's excellent work on the Diseases 

 of the Thoracic Viscera and on Auscultation. By Charles 

 Thomas Iladen, Surgeon to the Chelsea and Brompton Dispen- 

 sary, &c. 



Lectures on General and Medical Botany. By Anthony Todd 

 Thomson, F.L.S. Member of the Royal College of Surgeons in 

 London, &c. &c. 



Mr. Cross will shortly publish a concise History of the Variolous 

 Epidemic which occurred in Norwich in the year 1819, with an 

 J^stimate of the Protection afforded by Vaccination, &.c. 



An 



