Notices respecting New Books. 21 1 



them so as to form valuable exercises under the correspondent 

 propositions in the Elements. The execution of this l.tde work 

 meets our approbation, and we hope "^^^h good will be de- 

 rived from its perusal. We regret, however, to find that Mr. V 

 in framing some of the theorems does not exP^'e^^l"; f ^ " 

 definite lan'^aage— Take for example, prop. U, book l.t. In 

 one of tl e .ddes^of a given triangle, to find a point that shall be 

 Zid tant from two^given points in the base." We confess ha^ 

 under the present fonn of the proposition we do not see how 

 this is to hi done, that is, generally ; and we tear that many of 

 Mr Newton's readers wilt find themselves similarly situatecl 

 W; have however no doubt but Mr. Newton thought, although 

 he has not written, mathematically; and to show hn« how we 

 are puzzled by his Proposition, we shall take a particular ex- 

 ample of our own ; and we expect that our failure m attemp - 

 ing to solve it will induce Mr. Newton to remove this and si- 

 milar defects in the next edition. „. 04 vnrd^ 



Suppose the two sides of a triangle to be the one 24- yards, 

 the o her 27, and the base 30. Now let the given pomts in 

 the base be, he one distant from one extremity 10 j-ards, and 

 the other 05, making an interval between the pomts of 1 5 yards. 

 Fincra'p^int in "the shorter side that shall be equidistant 

 from both the given points. 



The propositions in the Data are possessed ot considerab e 

 merit; and those entided "promiscuous" cannot tail to be highly 

 usefu to such as can find time and have a taste for geometry 

 cal nursuits. The practical examples under the head Tr.go^ 

 nonictiV' ?mm an^cquisition to the work of no sniall conse- 

 quence and their being accompanied by die table ot sines and 

 ZZl. required in the solution, puts it in the reader s power 

 actuallv to determine what is reqau'ed. 



We cannot conclude, without again expressing our high 

 approbation of this little perti)rmance ttiken as a whole, and 

 earnestly recommend it to every ge(,metncal student as a col- 

 lection of valuable exercises. ^ • ^ • 



A Letter to the Editors' of the IVnlasophiccd Magazine and 

 M Zl, upon the Correspondence bet..een N.r James Edwaud 

 Zvyn and Mr. LiND.cv, M^ has ^^ffYJ^'^'td^ 

 that Journal. Bjj John Lindi.ky, Esq. l.LS. ^c. Uidg 



^ I'ni'frli. this pamphlet, addressed to ourselves, that 



its mnc' ranee has beJn occasioned by our havmg deeded 



gai ^^X"her continuation m our Journal of the conU^v^^^^ 



sv alluded to, in declining to insert a second reply from Mr 



ZinXy ; which he has now the^reibre published in a sej^rate 



