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Pagina 12
... fixed point in the direction of its motion , and = g + pr . 5. Given the height of an inclined plane ; find its length , so that a body m hanging vertically may draw a body n up the length in the least time . 6. Given two points above a ...
... fixed point in the direction of its motion , and = g + pr . 5. Given the height of an inclined plane ; find its length , so that a body m hanging vertically may draw a body n up the length in the least time . 6. Given two points above a ...
Pagina 14
... fixed tangent drawn at the centre of force is inversely pro- portional to the velocity . MR . LESLIE . II . Two spheres in contact rest one on each of two inclined planes ; find the position of equilibrium . 12. Find the condition of ...
... fixed tangent drawn at the centre of force is inversely pro- portional to the velocity . MR . LESLIE . II . Two spheres in contact rest one on each of two inclined planes ; find the position of equilibrium . 12. Find the condition of ...
Pagina 26
... fixed right line is equal to the length of the tangent from it to a fixed circle . 4. In a spherical triangle prove that , if either the perpendicular or the bisector of the vertical angle bisect the area , the triangle is isosceles . 5 ...
... fixed right line is equal to the length of the tangent from it to a fixed circle . 4. In a spherical triangle prove that , if either the perpendicular or the bisector of the vertical angle bisect the area , the triangle is isosceles . 5 ...
Pagina 28
... fixed circles at constant angles will also touch two fixed circles . 13. Given base and vertical angle of a triangle ; find the locus of the intersection of the lines drawn from the extremities of the base bisecting the opposite sides ...
... fixed circles at constant angles will also touch two fixed circles . 13. Given base and vertical angle of a triangle ; find the locus of the intersection of the lines drawn from the extremities of the base bisecting the opposite sides ...
Pagina 38
... fixed circles , its radius is in a constant ratio to the distance of its centre from their radical axis . 2. If from the vertical angles of a triangle perpendiculars be let fall on any tangent to the inscribed circle , and if we form ...
... fixed circles , its radius is in a constant ratio to the distance of its centre from their radical axis . 2. If from the vertical angles of a triangle perpendiculars be let fall on any tangent to the inscribed circle , and if we form ...
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according acid angle atque axis base calculate cause centre character circle cloth Compare construction curve Deduce Describe determine Distinguish Dublin Edited English equal equation EXAMINATION Explain expression fixed following passage force Give given Greek Italy Latin length means Mention method nature neque Notes observations origin pass perpendicular plane position pressure principal produced PROFESSOR Prose prove quć quam question quid quod quum ratio reasons relation respect sides square surface tangent theory tion Translate the following triangle vertical weight Write ἀλλ ἂν γὰρ δὲ εἰ εἶναι εἰς ἐν ἐπὶ καὶ μὲν μὴ οἱ οὐ οὐκ περὶ πρὸς τὰ τε τὴν τῆς τὸ τοῖς τὸν τοῦ τοὺς τῷ τῶν ὡς
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Pagina 137 - How all occasions do inform against me, And spur my dull revenge ! What is a man, If his chief good and market of his time Be but to sleep and feed fA beast, no more. Sure, he that made us with such large discourse, Looking before, and after, gave us not That capability and godlike reason
Pagina 25 - oft the woods among, I woo, to hear thy even-song; And, missing thee, I walk unseen On the dry smooth-shaven green, To behold the wandering moon, Hiding near her highest noon, Like one that had been led astray Through the heaven's wide pathless way, And oft, as if her head she bow'd, Stooping through a fleecy cloud. MILTON.
Pagina 137 - do not know Why yet I live to say, this thing's to do; Sith I have cause, and will, and strength, and means To do't. Examples, gross as earth, exhort me : Witness, this army of such mass and charge, Led by a delicate and tender prince,
Pagina 137 - spirit, with divine ambition puffed, Makes mouths at the invisible event, Exposing what is mortal, and unsure, To all that fortune, death, and danger dare, Even for an egg-shell. Eightly to be great, Is, not to stir without great argument, But greatly to find quarrel in a straw, When honour's at the stake.
Pagina 252 - Soling. See, see, King Richard doth himself appear, As doth the blushing, discontented Sun From out the fiery portal of the East, When he perceives the envious clouds are bent To dim his glory, and to stain the track Of his bright passage to the Occident. York. Yet looks he like a king: behold,
Pagina 197 - There is a way which seemeth right unto a man, but the end thereof are the ways of death. The wicked is driven away in his wickedness : but the righteous hath hope in his death. The
Pagina 252 - appear'd Under the opening eye-lids of the morn, We drove a-field, and both together heard What time the gray-fly winds her sultry horn, Batt'ning our flocks with the fresh dews of night, Oft till the star that rose, at evening, bright, Toward heaVn's descent had
Pagina 252 - Verse Begin, then, Sisters of the sacred well, That from beneath the seat of Jove doth spring, Begin, and somewhat loudly sweep the string. Hence with denial vain, and coy excuse, So may some gentle muse With lucky words favour my destin'd um,
Pagina 252 - nurst upon the self-same hill, Fed the same flock by fountain, shade, and rill, Together both, ere the high lawns appear'd Under the opening eye-lids of the morn, We drove a-field, and both together heard What time the gray-fly winds her sultry horn, Batt'ning our flocks with the fresh dews of night, Oft till the star that rose, at evening, bright, Toward
Pagina 188 - fit for hounds: And let our hearts, as subtle masters do, Stir up their servants to an act of rage, And after seem to chide them. This shall make Our purpose necessary, and not envious; Which so appearing to the common eyes, We shall be called purgers, not murderers.