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Page 6
... forces ? 7. Deduce Ampère's expression for the force which acts between two current - elements , and show how the constants may be found . 8. Explain what is meant in an absolute system by the unit quantity of electricity , the unit ...
... forces ? 7. Deduce Ampère's expression for the force which acts between two current - elements , and show how the constants may be found . 8. Explain what is meant in an absolute system by the unit quantity of electricity , the unit ...
Page 16
... forces which act on a rigid body be in equilibrium , prove that their lines of action must lie in one plane , and be either parallel or meet in a point . 3. A heavy ball suspended by a fine wire makes 27 oscillations in 4 minutes ; find ...
... forces which act on a rigid body be in equilibrium , prove that their lines of action must lie in one plane , and be either parallel or meet in a point . 3. A heavy ball suspended by a fine wire makes 27 oscillations in 4 minutes ; find ...
Page 17
... forces meeting at a point is double the other , and their resultant is equal to half their sum ; find the angle between them . 9. Forces act along the sides of a triangle , and their resultant passes through the centres of the inscribed ...
... forces meeting at a point is double the other , and their resultant is equal to half their sum ; find the angle between them . 9. Forces act along the sides of a triangle , and their resultant passes through the centres of the inscribed ...
Page 18
... forces ; and find the condition that the tension be constant throughout . 10. Find the law of force by which a particle may describe a circle , the centre of force being in the circumference of the circle . 11. Find the integrals MR . M ...
... forces ; and find the condition that the tension be constant throughout . 10. Find the law of force by which a particle may describe a circle , the centre of force being in the circumference of the circle . 11. Find the integrals MR . M ...
Page 19
... forces , each attracting according to the law of the inverse square of distance , is projected along the line joining the centres ; find the velocity of projection so that the particle may just arrive at the neutral point of attraction ...
... forces , each attracting according to the law of the inverse square of distance , is projected along the line joining the centres ; find the velocity of projection so that the particle may just arrive at the neutral point of attraction ...
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Common terms and phrases
acid action agus angle Aristotle axis Beginning BURNSIDE Cæsar calculate centre characters Cicero circle coefficient conic curve deduce Describe determine ellipse Ending English Enumerate equation equilibrium Euripides Explain expression feet find the locus Find the value fixed point following passages force formula Give an account Give some account given Greek Hallam Hamilton heat Ibid illustrate inches Julius Cæsar Kant Latin M'CAY Mansel Mention method Mill Molière moment of inertia nature origin parabola plane Polybius principal Propertius prove quadric radical axis radius relation right line Roman Second Punic War sides square symptoms tangent theory Thucydides tion Translate the following triangle velocity vertical WILLIAMSON words Write a note δὲ ἐν ἐπὶ καὶ κατὰ μὲν οἱ τὰ τὴν τῆς τὸ τοῖς τὸν τοῦ τῷ τῶν ὡς
Popular passages
Page 388 - The world's great age begins anew, The golden years return, The earth doth like a snake renew Her winter weeds outworn: Heaven smiles, and faiths and empires gleam Like wrecks of a dissolving dream.
Page 12 - Or hear'st thou rather pure ethereal stream, Whose fountain who shall tell ? before the sun, Before the heavens thou wert, and at the voice Of God, as with a mantle, didst invest The rising world of waters dark and deep, Won from the void and formless infinite.
Page 310 - His breath like caller air ; His very foot has music in't As he comes up the stair — And will I see his face again ? And will I hear him speak? I'm downright dizzy wi...
Page 386 - THE flower that smiles to-day To-morrow dies; All that we wish to stay Tempts and then flies. What is this world's delight? Lightning that mocks the night, Brief even as bright.
Page 311 - Sleepless! and soon the small birds' melodies Must hear, first uttered from my orchard trees; And the first cuckoo's melancholy cry. Even thus last night, and two nights more, I lay, And could not win thee, Sleep! by any stealth: So do not let me wear...
Page 313 - He calls me boy ; and chides, as he had power To beat me out of Egypt ; my messenger He hath whipp'd with rods ; dares me to personal combat Caesar to Antony : — let the old ruffian know I have many other ways to die ; meantime Laugh at his challenge.
Page 311 - Fair are others ; none beholds thee. But thy voice sounds low and tender, Like the fairest, for it folds thee From the sight, that liquid splendour,— And all feel...
Page 124 - IN yonder grave a Druid lies, Where slowly winds the stealing wave ! The year's best sweets shall duteous rise...
Page 70 - And unto Sarah he said, Behold, I have given thy brother a thousand pieces of silver : behold, he is to thee a covering of the eyes, unto all that are with thee, and with all other: thus she was reproved.
Page 214 - For thoughts may past delights recall, And parted lovers meet again. I weep not for the silent dead : Their toils are past, their sorrows o'er ; And those they loved their steps shall tread, And death shall join to part no more.