

and just la tluio, M fclw wan B. i >oe " from tho Ant. She 



MtonlshsMi 



.va " blown. . H good 



.10 u'l of tin) 

 rw. mi'l (. 



, VSV.IJI..M n:' poor whale ; whilst tone 



u. i- 1 fi.li.iiMii'.- plii-ii tho bleeding wrstoh wi 

 haoer o that nh wan soon obliged to betake herself again 

 , 



.is iininsdiut 



linn-it OUt ol <!.;:. 



UuK with weiipoun. Our bout was ou litr very ! 

 '..ill, which wmt it ; 



.oiv of f:ith.>ms, until II; 



= r way, by 1 or four 



ill wry f'-w HI-COII. 



tho boat almost hcud under, until tli ' 



in, wiii.-li, 08 it did so, umdo a. nri> 

 :iio tho hard lignum vitto of th 



-moke, aud canning the most distinct nui--ll of burning, 

 :ily pruvfiitril fro a :u-tu:dly tikiui; pl;u:o by the liuu- 

 niauugor throwing water constantly ou it . 



1 1 10 surface, but fur exhavsted ; still slio made 



. fight for it, hushing about with bur t.iil :iiul Iir.n iu fury when- 



rrath. It TV:IM no rery pleasant 



trifjht to Kt'O IHT t.iil iiuivvriii',' hi;,'h u;. in : ..in but a short 



of us im.l n ming down on I, sharp 



crack, like the report of a dozen riiles, and v. lited ou 



any of our boat*, had power sufficient to have oouvurt'ji.1 th- ir 

 into something very like lucifer matches. A few mere lances soon 

 her; ami ere long, sho was rolling on her lurk. The usual 

 f triumph were given, und we had time to breathe aii 



it niuy 1*3 bMi-jved wo had riot escaped tho showers of 

 .'uuct had sent about so liberally. Tho v. 

 1 with blood, and covered with a thick pellicle of 

 oil, upon which tho Mollys wore as busy as they could be, whilst the 

 edges of the ice, as far as we could see, were deeply crimsoned; mnl :i 

 hiininioi-k, on the edge of the floe, beside which tho liu. 11 

 taken place, was from the summit downward streaked with the black 

 blood v, t few blasts of tho dying monster had sent over it. 



IV. CORRECT VROI.'UNCIATION. 



That pronunciation is correct which is sanctioned by good 

 or custom. Good usage implies tho habit of persons 

 of good education, as regulated by tho decisions of learning 1 

 and taste, exemplified in standard dictionaries a style which 

 is equally free from the errors of uneducated or negligent 

 custom, and the caprices of pedantry which falls in with 

 the current of cultivated mind, and docs not deviate into 

 peculiarities, on tho were authority of individuals. Go' 

 in pronunciation, while it allows perfect freedom of choice 

 an to tho mode of pronouncing words liable to variation in sound 

 or accent, requires a compliance with every fixed point of 

 sanctioned usage. 



The subject of pronunciation, like the preceding one 

 articulation belongs properly to the department of elementary 

 instruction. But as this branch of elocution docs not always 

 receive its due share of seasonable attention, many errors in 

 pronunciation are apt to occur in tho excrcisa of reading, as 

 performed by even tho advanced classes in schools. To avoid 

 ench errors, it will be found useful to discuss, closely and 

 minutely, the correct pronunciation of every word which in any 

 lesson is liable to bo mispronounced, the standard of reference 

 being nny good dictionary of the English language. 



.:. MMfibf tofttf :-.;..,,. ; ,.< 



: 



LESSONS IN GEOMETRY. IX. 



IN tho construction of triangles tho stuuuit has learnt, by 

 Problem XVI. (page 20D), how to draw an equilateral tri;; 

 any dimensions, tho only tv/o data (or facts given from which 

 other facts may be deduced) that are required in the formation 

 or construction of an equilateral triangle being, the length of 

 one of its three equal sides on tho one hand, or its altitude on 

 the other. 



It will bo remembered that, in Definition 18 (page 53), it was 

 Rtated that triangles are classified according to the relation of 

 their sides, a* 



QSJBI , . -. i ,., 



1! . . '..10. 



angle, and, ut stsess* 

 voacuteoitgiss. 



thsee acuU 



EO.CILATKRAI, 

 Having three equal 



ISOSCELES, 

 Having two equal 



Having three unequal 

 sidos; 



IKMlU: mi;; let ; 



Now, u the three interior angle* of a triangle are together 

 equal to two right angle* or 180 degrees), aod M an obtu 

 aagle in any angle greater than a right angle or 90 dofrre*. 

 while an aoato angle is any angle lees than a right angle or 9C' 

 degrees, it in manifest that 



;iiilutoral triangle nrast nwoo-.ir.lT be an actrto-aitflsd 

 triangle, since it has throe equal angles, each of which is lest. 

 than 90 degrees, being one-third of 180 degrees ; v. 



An isosceles, or a ftoalane triangle, may be a ri^ht-augfe-l 

 triangle, or an obtuse angled triangle, or an acute-angle. 1 

 triangle. 



To proceed still farther into an analysis of tho co: 

 under which the different kimN of triangles will appear, 

 bo said that 



I. An aoute-angled triangle may have 



1. Three sides equal, and three angles equal, when it is an erpiilatim.! 



2. Two Bides equal, and two angles equal, wlien it is an acute- 

 angled isosceles trianglo. 



3. All its sides unequal, and all its angles unequal, when it is sn 



acute-angled scalene triui. 



II. An obtuse-angled trianglo may have 



1. Two sides equal, and two angles equal, when it is an obtuv- 

 angled isosceles triangle. 



-'. All its sidas unequal, and all its au^los un -qual, when it is sa 

 obtuse-angled scalene triangle. 



III. A right-angled trianglo may have 



1. Two sides equal, and two angles final, when U IK a right-angled 

 isosceles triangle. 



2. All its sides unequal, and all its angles nnequfj, whim it Is a 

 right-angled scalene triangle. 



Wo have already learnt, as it has been said above, how to 

 draw an equilateral trianglo of any dimensions, the conditions 

 necessary for its construction being given. Let us now see what 

 data wo require to enable us to draw any isosceles or scalene 

 trianglo characterised by having ono right angle, one obtuse 

 angle, or three acute angles. 



To determine any isosceles triangle, it i- plain thit we most 

 have one or the other of the following series of data. 



I. With regard to the sides without the angles : 



1. The length of the two ,-,ii..l sides, aud the length of the third 

 side or base. 



2. The length of the two equal sides, and tho altitude of the triangle. 



3. The length of the base, and tho altitude of the triangle. 



II. With regard to the hides tu. -mbiiied : 



4. The angle at the vertex of the triangle, and the length of tk 

 two equal sides. 



5. The angle at tho vertex of the triangle, and the length of the 



6. The angle at the vertex of the triangle, and the altitude. 



7. The equal angles at the base, and the length of the equal sides. 



8. The equal angles at the base, and the length of the base itself. 



9. The equal angles at the base, and tho ultitu.K 



In any case, when the length of the sides or altitude is given, 

 either with or without the extent of tho opening of all or any 

 of its angles, an isosceles triangle can be constructed, which is 

 the only form of the isosceles triangle which wi 1 parti- 



cular requirements laid down in the data : but where the anglea 

 only are given, an endless number of triangles .similar in form, 

 but of different superficial areas, may be drawn, all of which 

 shall satisfy the general requirements set forth in the data, for 

 it must bo remembered that the size of an angle is determined 

 by tho extent of the opening between the lines that form itf 

 sides, and not by tho length : and this leads as to 



the construction of an isosceles triangle under general condition?, 

 namely : 



HI. With regard to tho angles without the sides : 



10. The angle at the vertex of the triangle. 



11. The equal angles at the base of the triangle. 



Tho first case named above of tho oonstruction of tho isosceles 

 triangle, when tho length of the two equal sides, and that of 

 tho third side is given, is met by Problem VIII. (page 191), in 



