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EXERCISE 119. 1. Whatever he may say, I shall persevere. 2. Even with that profit they were not contented. 3. The mishep of this family was so great, that they even asked assistance of strangers
I shall not depart with attendants even. 5. The moon does 'bot sive us so much light as the sun, even when she shines the
brightest. 6. Whatever your friend may be, you will not obtain INI.
is. 7. Whoever this young lady be, she is very rude. 6. However cunning they may be, they are sometimes mistaken.
9. Great as my poverty may be, I shall not become disheartened. in woodwonge
s10. Whatever the news may be, impart it to me. 11. Whatever w o
o l. She st. 1**, pa vantages may be offered to him, he will not accept of them. m e t 'n
ke 12. Whatever faults he may have committed, I will forgive him. m damiss ke sy te od 13 Eren in the heat of the battle, and amidst the roar of can
nons, the commander rode quietly to and fre. 14. However ovino , Bent ut great my misfortune may be, nobody shall perceive it. 15. Even fra üsik u write the king must obey the law. 16. Even my adversary praised
- 3 0 g an oval grass-plot or
- S k of uniform width.
Se het is given on or about sped oral Bisect A B in C, A ICB, describe the circle
ne Dz of indefinite length He")
mongh the point E, from -
Ines AI, B X of unlimited
W 3 as radius, describe the - -.:. 303 as centre, with B A as radias, -""----- +
II. From the point E, at - I d e 1e we FLG. The figure .
De about AB as its lesser =
: emred to make the ovoid -.- *
E 3. it is manifest that the
2 3 H ET Be sides of the figure are - -
A and B in the straight
I She isst case, and within the - .. .
32 13 elf in the second. Sup----
- Lager than the ovoid DALB, - 141. I 2. Q take any point , and
GT L in D Z, and through L : :
Sicht lines IP, KO of un5
- Sen from H and K as centres, S
e scribe the arcs B x, A M, :-
giete the ovoid DAMNB 29 I - T
: ss centre with the radius * out the remaining case for
zudius with which the arcs
: 24 .
Es f a desss pins on the piece T =
Q LÜ SunSİ describe a parabolá, .- D. Mali
46), ziemu ly as possible in the H
Dw tugit ine As at right angles to ** = e OBU mind the raler is fixed. The Sh
u the vis of the parabola, while the
presenta ne e of the fixed raler is called the S : 1000i. Tie a mier made in the form of & - "Dangle see ui. I. page 96), and at the extremity
* me two sides that contain the right angle GFE apod
i ae r string, and let the thread have a knot se i 1994 he ength of the thread from g to the knot may e
14 " e side of the triangular ruler. Thrust s amen *,
nie anot, and tix the pin through any point n, in well
De 3, winch has been selected as the focus of the en escribed. Place the edge FG of the triangular Aung 20 straight line a B, keeping the string tight with a
- U vincit, when the edge FG of the ruler is lying along 1 * Ina A B, will manifestly be at a point K, the point of a su 12 É I, the distance between the fixed ruler and the Os she required parabola. Slide the edge FE of the r aniar mier slowly along the edge c D of the fixed ruler in i e tien of c, keeping the pencil-point against the edge FG
of the triangular ruler, and the thread at its utmost tension exiled princes was most firmly engrafted on the people, and from the focus u to the pencil-point, and from the pencil-point where it was most difficult to follow it for the purpose of to G. When the edge of the ruler has moved from A B to the rooting it out, disaffection was all but universal. The chiefs position L m, the pencil-point will have traced out the curve K N, of clans, or heads of great families, there, were petty sovereigns, While the string will be in the position indicated by the dotted lines ruling absolutely over all their tribes, jealous of each other,
HN, NM. When the ruler's | ready to quarrel, and being ignorant and half barbarous, ever edge occupies the position FG, ready to settle the quarrel by the arbitrement of the sword. To the pencil - point will have the King of Scotland and England they confessed a certain sort traced out the curve KNO, of allegiance, which they were quite ready to renounce whenever
and the string will be in the the king's pleasure ran counter to their own; but when they C position indicated by the once threw in their lot with him they stuck as close as burrs; and
thick lines ho, o G. Simi- | no one could have more utterly devoted adherents. Trained M larly, when the ruler's edge from childhood to regard implicit obedience to their own chief
occupies the position EP, the as the highest virtue, their services were of immense importpencil-point will have traced ance to him with whom, for the time being, their chief was on out the curve KNOQ, and terms of friendship; and so thorough was their blind attachthe string will be in the posi. ment, that while they would go through fire and water for such
tion indicated by the dotted a one so long as the friendship lasted, they would not scruple ----
lines HQ, QP. By turning to murder him the very moment that the chief's sentiments
the ruler E F G, and reversing altered. They were rough men, lived rough lives, and held it Fig. 90.
the operation, the lower part more honourable to live by plunder than by toil; and they pos
of the curve KSZV may be sessed those vices, as well as those virtues, which are incidental traced; the change of position of the ruler's edge, and the string, to savages who dwell in the face of nature, and are but slightly being shown by dotted lines, which are lettered RT, UW, HS, influenced by the voice of civilisation. Much sentimental matter 8 T, H V, vw in the diagram.
ing has been written about the Highlanders, chiefly by those It will be seen as well from the construction of the mechanical who never knew what their chief characteristics were ; and in means for producing the parabola as from examination of the popular novels their virtues have been extolled, while their diagram, that the leading principle of the parabola is that the hideous vices have been hidden or varnished over, and their distance of every point on it from the focus is exactly equal to manners and customs have been presented with that enchanta line let fall from the point in question perpendicularly to the ment which distance lends to the view. While there was much directrix. Thus in Fig. 90, H N, the distance from the focus in that was admirable in the Highlanders—much to excite the most a straight line to the point n, is equal to NL, the perpendicular exalted respect for their courage, their endurance, their devotion, let fall from n on the directrix CD. Similarly H o is equal to 0 F, their hospitality—there was much also to condemn in their
toe, to s R, and a v to vu. A straight line drawn revengefulness, their thievishness, their brutality. Few of them through any point in the curve at right angles to the axis is
were given to honest labour for procuring themselves a livelicalled the ordinate of that point. Thus, if we draw an indefinite | hood, and many of them were, not to put too fine a point on it, straight line x y, at right angles to the axis A B, passing through no better than King William's letter described them, "a set of the point o and the focus H, H o is the ordinate of the point o, thieves.” They lived in the mountains, as their name implied; and a z the ordinate of the point z. The part Kh of the straight and protected by their hills, which they knew how to defend by line A B, intercepted between K, the vertex of the parabola, and their indomitable bravery-protected also by their poverty, they the focus H, in which the double ordinate o z cuts the axis a B at were long able to defy the authorities in the Lowlands. They right angles, is called the abscissa of the points o z. In like preserved with religious care their allegiance to the Stuart manner Qa is the ordinate of the point q, and Ka its abscissa. princes, who found among them, on the two great risings against
To find the focus of any given parabola, as QKV in Fig. 90, the house of Hanover in 1715 and 1745, their most hardy and draw the axis AB, and the directrix cd at right angles to the most faithful adherents. Some of the heads of clans were axis. Take any point v in the curve, and from it let fall vu
members of the Scotch nobility, and these swayed the political perpendicular to the directrix CD, then from v as centre with influence of their followers according to their own interests at the distance vu describe the arc u H, cutting the axis A B in H. court; so that it often happened that as interests conflicted, The point u is the focus of the parabola Q KV.
clans were opposed to one another, and when they were so, it was an opposition to the death, for enmity was cherished among
them to the entire exclusion of forgiveness. HISTORIC SKETCHES.—XXII.
Some of the more powerful clans had given in their allegiance
to King William and Queen Mary; but these clans were for the THE MASSACRE OF GLENCOE.
most part amenable to military coercion by the Government, " As for Mac lan of Glencoe and that tribe, if they can be well while the rest were influenced by bribes, either of money or distinguished from the other Highlanders, it will be proper, favour, and were ready at any moment to turn against the hand for the vindication of public justice, to extirpate that set of that patted them. But by far the greater number of the clans thieves." So wrote King William III., by the hand of the remained in a state of chronic disaffection, would not own Master of Stair, to the commander of the royal troops in Scot- sovereign allegiance to any one, and remained independent of land, in January, 1692. The words were part of a letter of any king save their own chiefs. The trouble they gave was instructions to the king's general, respecting the conduct he enormous; the necessity of keeping up a strong force to check wae to pursue towards the Highland chiefs, to whom a summons them, most annoying and costly; and the nucleus they furnished had been made to come in and make submission to the Govern- for the gathering of a hostile army in the heart of Scotland, most ment before the 31st of December, 1691. They were words of dangerous to the peace of the kingdom. general or particular significance, according to the way in which Statesmen in London were more concerned for the pacification the reader chose to read them, and according to the circum- of the Scotch Highlands than for any other matter of domestic stances under which they were written. The letter was worded policy. They tried all sorts of ways to effect the object; they tius ambiguously by design, in order that the Secretary of State, played off one chieftain against another, sowed the seeds of who was to give further instructions upon it, might choose which dissension between them, bribed, flattered, threatened, and, interpretation he liked; and he chose an interpretation which had whenever they had the chance, used force; but all means failed, the effect of covering his master with shame, though posterity and the Highlands remained a bugbear and a thorn in the side has done that master the justice to remove the blame from of the rulers, until, many years later, Mr. Pitt conceived the idea his shoulders and to place it where it is due.
of utilising the courage and the hardihood of the men by em" The massacre of Glencoe" was on this wise :-Ever since the ploying them as soldiers in the service of the state. Not until Revolntion in 1688 had turned out the house of Stuart from the the Highland regiments were raised were the Highlands pacified, throne, there had been more or less of disaffection in certain and certainly in 1691, the time treated of in this sketch they parts of the kingdom to the rule of the new dynasty. In the were the homes of men who were ready for any desper Highlands of Scotland, where the sentiment of devotion to the prise against the Government.
er le back to his home in the pass of Glencoe, glad 3. S
e me peace, his mind having no misgivings about 2
his sccepted allegiance. The news went up • com 5* * lns of Glencoe had not submitted, and by
z ers of his submission arrived, steps had at
lim. The Master of Stair was greatly
spect of being able to make an example, and
hane and Argyll, with whom Mac lan was
mc sed at the prospect of taking a bloody E
s sence of Mae Ian's submission was a blow des
- st Secast about how they might fend it off. =
PANORS arraigned ce criminal charges were T: 7
failure to sustain some technical obs
e nt it is not sure to end that even a s
k e age of an informality in
SUN sietestety bated antagonist.
i sie se rerne whatever, whether I
s e s Densmider on the 6th of . S
i e s made by Mae Ian on can" " an
ser the arimas with O
se s is a 20t the way in - - C entar L s
5# iesired s loophole a .
EE IIS people, and he · albu - 2 " " " s L ame SË DUE Surendered by the . intended Av. ***
* . his purpose to - " hich also sing with the
unself had, and in - 2 he subjecte J C Stair suppressed the Den
bat Mae Lan had ti ti giren in his alleonly like de. In those days news
reling, and the b o
wyn veasure was taken as if the levimlits of Glencoe were no bavi ren 2 untumacions ; but the roys.
D e eems to have been, www .9 jan sven then, that the outlaws she mes expressed with a y ea.
Edong band, their valley OCCUS . Amplas made of such e ripar $$ hould be guilty of flagrant e
e peblie pence. sebartainly there is not suy
gesing that King Wiliam or his other ministers s e sme privy to the am ) 2.10.1* sabinie pan which the Master of Star Was
D g 1 his brain To ..
ale cher Tim it was a source of deep rop y of the clans had - a pantoms to submitted. He had hoped to
ke of them all. na more EDTions and The Macdonalds of Glencoe be O
SASTANE sot escape. . .. , e sc. So the order quoted st the begin af sites sketch was
in red down mng. soubos sent down to the Commande d e Fors. wmi the Master of
explain how this
at Lord Macaulay i wote
duweni a sgance thas describes the theatre here she stars tragedy was to Ooh v RS; And may they be acted :-" Mac lan dwelse sur af s ine situated
seitssko 12.02emseites before not far from the southern bere Lacederen, se arm of the
s t of Seotland, and
separates Argyleshire from Ises . Saarbis house were indvendig bestand vo u wlingness to go, two or three small hamnlets inhabided by this site The whole
ww. "le was bons of the honour of population which he governed as Dot spoosed to exceed 200 ...
* Te is dadi submitted, and he souls. In the neighbourhood of the the clinster of villages ... in new Nons a full cbe chefs would be laggards' was some copsewood and suse tune tend: bat a little
canin nited, any road be able to offer ; further up the defile no sign of popesciom o of fruitfulness was B undesliwerment as would compel better to be seen. In the Gaelic toegoe Gizice signifies the Glen in derde wakati surrender. But when he found' of Weeping; and, in truth, that pass is the most dreary and
... Band Wh r avhesion, and that if he per-'melancholy of all the Scottish passes the very Valley of the . .m uid hare to face the wrath and to cope Shadow of Death. Mists and stars brood ove it through the
Wind when it be resolved to take the oaths. greater part of the finest summer; asi even on those rare days we Alle weemder, the rery last moment, did when the sun is bright, and when there is so clond in the sky,
Jiwani w londone was so called in the Highlands) the impression made by the landscape is sad and awful. The i w a mun, to take the oaths at Fort William. path lies along & stream which issues from the most sullen and ow tua be found that Colonel Hill, the governor, gloomy of mountain pools. Hage precipices of naked stone from Murid on
s u ster the oaths, and that he must go on both sides. Even in July, the streaks of snow may often be shu wadwo the nearest competent magistrate. discerned in the rifts near the summits. All down the sides of avu himn i batter of recommendation to the sheriff | the crags, heaps of ruin mark the headlong paths of the torrents.
Nhy Cuti Champbell of Ardkinglass, and Mac lan | Mile after mile the traveller looks in vain for the smoke of one way but the war was long, the wind was cold," | hut, or for one human form wrapped in a plaid, and listens in
winter in the High'ands impeded the old vain for the bark of a shepherd's dog, or the blent of a lanb.
With zealous care the Secretary of State and his friends, Hos of NIan, and by the letter of Breadalbane and Argyll, studied the geography of Glencoe, and il the whol ehn had offered himself took the necessary measures to bar the ways out of it when de tomber to be sworn, Sir Colin once the Macdonalds should become fugitives. The chiefs
the oath, and sent an explanatory cer- | beyond the passes from Glencoe were secured by promises, by howing why he had departed from the appeals to their hatred and their interest; and when this was alamathus
| done, the conspirators proceeded to devise a scheme by which