Conic section

“ At the same time five points A, B, C, A', B on the conic have been found, so that the conic is completely known which determines on the line s the given involution. Hence-Through three points wecan always draw one conic, and only one, which determines on a given line a given involution, all the same whether the involution has real, coincident or invisible foci. In the last case the theorem may now also be stated thus:- It is always possible to draw a conic which passes through three given real points and through two invisible points which any other conic has in common with a line. ”

“ The Conics, a colossal work, originally in eight Books, survives as to the first four Books in Greek and as to three more in Arabic, the eighth being lost. From Apollonius’s prefaces we can judge of the relation of his work to Euclid’s Conics, the content of which answered to the first three Books of Apollonius. Although Euclid knew that an ellipse could be otherwise produced, e. g. as an oblique section of a right cylinder, there is no doubt that he produced all three conics from right cones like his predecessors. ”

“ In that story I thought Conan found at last his mate, his long-sought-for companion. Together they left that evil place; together (but only in our imaginations) let them travel on towards whatever lies ahead. Let each true lover of the great barbarian dream his own tales of battle, love and brooding witchcraft. Any other course savors of sacrilege. Read and read again what has been written, but let no other man try and wield that pen or gird on that sword. Bury them with him. He will sleep the quieter. And Lovecraft; Let the men who knew and loved him as a friend pen his obituary. ”

“ Like phantoms they descended into the great hall and moved past him toward a black arch. The leader carried an ebon staff which supported a grinning white skull, and Conan knew it was one of the ritualistic processions so inexplicable to a foreigner, but which played a strong—and often sinister—part in the Stygian religion. The last figure turned his head slightly toward the motionless Cimmerian, as if expecting him to follow. Not to do what was obviously expected of him would rouse instant suspicion. Conan fell in behind the last man and suited his gait to their measured pace. ”

“ A bull feast is there, and through it thou shalt be king. A man stark-naked, who shall go at the end of the night along one of the roads of Tara, having a stone and a sling — ’tis he that shall be king."
So in this wise Conaire fared forth; and on each of the four roads whereby men go to Tara there were three kings awaiting him, and they had raiment for him, since it had been foretold that he would come stark-naked. Then he was seen from the road on which his fosterers were, and they put royal raiment about him, and placed him in a chariot, and he bound his pledges. ”

“ Conary himself is described as a youth; “the ardour and energy of a king has he and the counsel of a sage; the mantle I saw round him is even as the mist of May-day—lovelier in each hue of it than the other.” His golden-hilted sword lies beside him—a forearm's length of it has escaped from the scabbard, shining like a beam of light. “He is the mildest and gentlest and most perfect king that has come into the world, even Conary son of Eterskel ... great is the tenderness of the sleepy, simple man till he has chanced on a deed of valour. ”

“ Conan, his mighty chest heaving and glistening with sweat, the red ax gripped in his blood-smeared hand, glared about him as the first chief of men might have glared in some primordial dawn, and shook back his black mane. In that moment he was not king of Aquilonia; he was again lord of the black corsairs, who had hacked his way to lordship through flame and blood. ”

“ Conan wondered uneasily for what purpose these colossal piles had been reared, in what forgotten age. This was an ancient, ancient land. No man knew how many ages the black temples of Stygia looked against the stars. Narrow black arches opened occasionally to right and left, but he kept to the main corridor, although a conviction that he had taken the wrong branch was growing in him. Even with their start on him, he should have overtaken the priests by this time. ”

“ The rare little shells composing the group I have now formed into the genus Conœlix, seem to have escaped the observation of modern systematic writers. They form a beautifully defined link connecting the Cones with the Volutes, strictly so termed, and their generic characters seem to be very constant and clear. ”

“ Men say in whispers that he is a great magician who died thousands of years ago, but has returned from death's gray lands to overthrow the king of Aquilonia and restore the dynasty of which Valerius is heir.'
'What matter?' exclaimed Conan angrily. 'I escaped from the devil-haunted pits of Belverus, and from diabolism in the mountains. If the people rise——'
Servius shook his head.
'Your staunchest supporters in the eastern and central provinces are dead, fled or imprisoned. Gunderland is far to the north, Poitain far to the south. The Bossonians have retired to their marches far to the west. ”

“ He suffered, and could not endure to suffer. That life, which had grown up with him as a flattering and obsequious friend, obeying all his whims, yielding to all his desires, should now have turned upon him in this traitorous way, inflicting such monstrous reprisals and rebuffs, roused in him the astonishment and resentment natural to such a temperament.
He, too, drew rein for a moment at the spot where Connie had looked out over Flood Castle and its valley. The beautiful familiar sight produced in him now only a mingling of pain and irritation. The horrid thing was settled, decided. ”

“ When Coningsby had attained his twelfth year, an order was received from Lord Monmouth, who was at Rome, that he should go at once to Eton. This was the first great epoch of his life. There never was a youth who entered into that wonderful little world with more eager zest than Coningsby. ”

“ Conan the Cimmerian, king of Aquilonia, still lives, in spite of Xaltotun's sorcery -- or perhaps because of it. I know not. The dark mind of that resurrected devil is too devious and subtle for a mortal man to fathom. But while Conan lives I am not safe. ”

“ Her lips were on one side of her head.
She came and put one of her shoulders against the doorpost of the house, casting the evil eye on the king and the youths who surrounded him in the Hostel. He himself addressed her from within.
"Well, O woman," says Conaire, "if thou art a wizard, what seest thou for us?"
"Truly I see for thee," she answers, "that neither fell nor flesh of thine shall escape from the place into which thou hast come, save what birds will bear away in their claws."
"It was not an evil omen we foreboded, O woman," saith he: "it is not thou that always augurs for us. ”

“ One day Cogia Efendi, on whom God be merciful, went to the city of Conia, and going into a pastry-cook’s shop, seized hold of a tart, and saying, ‘In the Name of God,’ began to eat it. The pastry-cook cried out, ‘Halloa, fellow, what are you about?’ and fell to beating him. The Cogia said, ‘Oh what a fine country is this of Conia, in which, whilst a man eats a tart, they put in a blow as a digester for every morsel.’ p. ”

“ I say, Connie, look at Mamma: what a grand old woman, the way she walks, laughs and talks! Now that's something like: you see at once that she's a great lady. Look at old Mrs. Friesesteijn beside her: common, noisy, spiteful; a figure like a charwoman's. Hideous, hideous!... Look at Ernst, Connie. Would you ever believe that was a brother of mine? Just like an old Jew; and what a dress-coat, what a dress-coat! Where on earth did the beggar get it cut? He spends all his money on jugs and vases!... Look at Gerrit, Connie. ”

“ You possess governments, and wield the bâton of a Maréchal de France, but your tenure of these dignities is unstable; and you will do well to save yourself while you have yet the opportunity. You place your reliance on the favour of a crowned head, but that very favour shadows forth your ruin."
As Concini stood motionless before him, the astrologer took him by the hand, and leading him towards the globe, by a slight touch caused it to revolve. ”

“ Concini, as weak and vain as he was greedy and ambitious, disregarded her advice, and strenuously turned his attention to fomenting a misunderstanding among the most influential of the nobles, in order to prevent a coalition which threatened to diminish his own importance. He was well aware of his unpopularity with the Princes of the Blood, who could not without indignation see themselves compelled to treat with him almost upon equal terms, protected as he was by the favour of the Queen; and he consequently lived in perpetual apprehension of their forming a cabal to effect his ruin. ”

“ Speak--dost thou never see the wigwam of thy father? Does not his voice whisper to thee, in the language of his people?"
The female stood in the attitude which a sibyl might be supposed to assume, while listening to the occult mandates of the mysterious oracle, every faculty entranced and attentive.
"Why does Conanchet ask these questions of his wife? He knows what she knows; he sees what she sees; his mind is her mind. If the Great Spirit made her skin of a different color, he made her heart the same. Narra-mattah will not listen to the lying language ”

“ But the pilgrims who come to Conques are, for the most part, peasants who look well before they leap, and who so contrive matters as never to spend more upon anything than they have set aside for it.
Having completed the next morning my impressions of Conques, noting among other things the curious and richly decorated enfeux in the exterior walls of the church, I returned to the bottom of the ravine, and having crossed the old Gothic bridge over the Dourdou, began the ascent of the rocky chestnut forest on the other side of the valley. ”

“ Nothing could be more kind or more agreeable than his grandfather. He appeared to be interested in his grandson’s progress, was glad to find Coningsby had distinguished himself at Eton, solemnly adjured him not to neglect his French. A classical education, he said, was a very admirable thing, and one which all gentlemen should enjoy; but Coningsby would find some day that there were two educations, one which his position required, and another which was demanded by the world. ‘French, my dear Harry,’ he continued, ‘is the key to this second education. ”

“ The man-eater is dead—stabbed through the heart—and Conan is gone!'
Tarascus was gray of face as he mechanically allowed Orastes to force him prostrate again and the priest renewed work upon his mangled flesh.
'Conan!' he repeated. 'Not a crushed corpse—escaped! Mitra! He is no man; but a devil himself! I thought Xaltotun was behind this wound. I see now. Gods and devils! It was Conan who stabbed me! Arideus!'
'Aye, your Majesty!'
'Search every nook in the palace. He may be skulking through the dark corridors now like a hungry tiger. Let no niche escape your scrutiny, and beware. ”

“ Cony, like lamb, mouse, etc., was in fact one of the endearing terms then in use between married couples; so that to be in cony was to be in a state of matrimonial endearment. Thence in cony or incony gradually came into use as an adj. of endearment in general—just as in life became alive and live (as an adjective) .
Index (R. III. ii. 2, Tr. and Cr. i. 3) , what we now call the table of contents in a book. It also (R. III. iv. 4, Ham. 405 iii. 4, Oth. ii. 1) seems to mean the dumb show before the acts of a play. ”

“ Conan of small renown, as Macpherson calls him, was an unfortunate Fenian, who always served as the butt of the rest, and is called in other legends Conan Maol, the bald. He is in character a good deal like the Sir Kay of Arthur’s court. The M'Connans now have borrowed the English names of Kenyon and Canning. His name comes to light in the Cymric branch, in the person of the British Conan, or Kynan Meriadech, who is said to have led a migration of Britons to Armorica, and to be the patriarch of the Dukes of Brittany. ”

“ Callicratides having thus possessed himself of thirty ships, and seeing that the enemy's fleet was now broken, concluded that for the future he was to fight upon land; and therefore sailed straight to the city. Upon which Conon expecting the city would be besieged, made what preparations he could to block up the mouth of the haven. For in that part where it was shallow, he sunk small vessels, laden with stones; where it was deep, he filled great ships of burden with stones, and fixed them with anchors. ”

“ But grimly he hung on, the muscles starting out in lumps on his jaws. And the scavenger's neck-bones crunched between those powerful teeth. With a spasmodic flutter the bird hung limp. Conan let go, spat blood from his mouth. The other vultures, terrified by the fate of their companion, were in full flight to a distant tree, where they perched like black demons in conclave.
Ferocious triumph surged through Conan's numbed brain. Life beat strongly and savagely through his veins. He could still deal death; he still lived. Every twinge of sensation, even of agony, was a negation of death. ”

“ Visions of Gastons de Foix and Maurices of Saxony, statesmen giving up cricket to govern nations, beardless Jesuits plunged in profound abstraction in omnipotent cabinets, haunted his fancy from the moment he had separated from his mysterious and deeply interesting companion. To nurture his mind with great thoughts had ever been Coningsby’s inspiring habit. Was it also destined that he should achieve the heroic?
There are some books, when we close them; one or two in the course of our life, difficult as it may be to analyse or ascertain the cause; our minds seem to have made a great leap. ”