Transactions of the Cambridge Philosophical SocietyUniversity Press, 1864 |
من داخل الكتاب
النتائج 1-5 من 73
الصفحة 2
... denote any magnitude , which can be completely represented by a certain length along the line OU , and which can be ... denoted by up . We proceed to inquire how up varies by a change in the position of OP . 3. Suppose OP to be a line ...
... denote any magnitude , which can be completely represented by a certain length along the line OU , and which can be ... denoted by up . We proceed to inquire how up varies by a change in the position of OP . 3. Suppose OP to be a line ...
الصفحة 3
... denote the angle through which OU shifts in the time dt towards OF , it will readily be seen that ultimately du = ƒ cos FU , dt аф И dt = ƒ sin FU ... ( B ) . = If then the acceleration ƒ be known both as to direction and intensity at ...
... denote the angle through which OU shifts in the time dt towards OF , it will readily be seen that ultimately du = ƒ cos FU , dt аф И dt = ƒ sin FU ... ( B ) . = If then the acceleration ƒ be known both as to direction and intensity at ...
الصفحة 5
... denote the radius vector OP of a point P , and u , u , u may then be replaced by the co - ordinates , x , y , ≈ : also ƒ , denoting the acceleration of u , will in this case denote the absolute velocity of P , and ƒ „ ƒy , f , the ...
... denote the radius vector OP of a point P , and u , u , u may then be replaced by the co - ordinates , x , y , ≈ : also ƒ , denoting the acceleration of u , will in this case denote the absolute velocity of P , and ƒ „ ƒy , f , the ...
الصفحة 6
... denote radius vector , altitude and azimuth , then аф de whence x = r , Dy = - cos 0 , z = dt dt = dr dt ' do аф = r Vy " V2 = r cos dt dt the common expressions for the components , relatively to polar co - ordinates , of the velocity ...
... denote radius vector , altitude and azimuth , then аф de whence x = r , Dy = - cos 0 , z = dt dt = dr dt ' do аф = r Vy " V2 = r cos dt dt the common expressions for the components , relatively to polar co - ordinates , of the velocity ...
الصفحة 7
... denote respectively the angle between consecutive tangents , and that between consecutive osculating planes . Hence tangential acceleration = ƒ = = acceleration in principal normal = fy = d's dt2 ds de • dt dt acceleration in normal to ...
... denote respectively the angle between consecutive tangents , and that between consecutive osculating planes . Hence tangential acceleration = ƒ = = acceleration in principal normal = fy = d's dt2 ds de • dt dt acceleration in normal to ...
طبعات أخرى - عرض جميع المقتطفات
عبارات ومصطلحات مألوفة
accent affirmative aggregate algebra angle angular angular momentum animal Antisthenes applied Aristotle assertion attribute axis beats caesura called circuit Commodian common compound conclusion connexion constant contained contrary curve denial denote deny dialogue diamagnetic direction distinction divergent series effect Eleatic electric electro-motive equal equal temperament equation existence expression external fluid force function genus give given great-circle Greek Hamilton Hence Heracleitus hexameter ictus Ideas identical inference instance intensity language Latin logic logician Lucretius magnetic mathematical mathematician means metaphysical middle term modulus motion negative object onymatic paper Parmenides particular penteconter Plato positive predicate premises pressure proposition quantity Quintilian reason rectangle relation result shew Socrates Sophista species suppose surface syllable syllogism symbols Theatetus theorem theory things thought trireme universal velocity verse whole word writing καὶ τὸ
مقاطع مشهورة
الصفحة 30 - By referring everything to the purely geometrical idea of the motion of an imaginary fluid, I hope to attain generality and precision, and to avoid the dangers arising from a premature theory professing to explain the cause of the phenomena. If the results of mere speculation which I have collected are found to be of any use to experimental philosophers, in arranging and interpreting their results, they will have served their purpose, and a mature theory, in which physical facts will be physically...
الصفحة 312 - Sirens' harmony, That sit upon the nine infolded spheres, And sing to those that hold the vital shears, And turn the adamantine spindle round, On which the fate of Gods and men is wound. Such sweet compulsion doth in music lie, To lull the daughters of Necessity, And keep unsteady Nature to her law, And the low world in measured motion draw After the heavenly tune, which none can hear Of human mould, with gross unpurged ear...
الصفحة 312 - ... to those that hold the vital shears, And turn the adamantine spindle round, On which the fate of gods and men is wound. Such sweet compulsion doth in music lie, To lull the daughters of necessity, And keep unsteady nature to her law, And the low world in measured motion draw After the heavenly tune, which none can hear Of human mould, with gross unpurged ear...
الصفحة 387 - Had I been any god of power, I would Have sunk the sea within the earth, or e'er It should the good ship so have swallow'd, and The fraughting souls within her.
الصفحة 249 - It has never been resolved into simpler or elementary influences, and may perhaps best be conceived of as an axis of power having contrary forces, exactly equal in amount, in contrary directions.
الصفحة 325 - Now set the teeth and stretch the nostril wide, Hold hard the breath, and bend up every spirit To his full height!
الصفحة 407 - Thus far he ; and here his voice was stopped by the Furies. Then, with a troubled heart, the swift Achilles addressed him : 'Why dost thou prophesy so my death to me, Xanthus ? It needs not. I of myself know well, that here I am destined to perish, Far from my father and mother dear : for all that I will not Stay this hand from fight, till the Trojans are utterly routed.
الصفحة 95 - Nay, further, that there are qualities in the supreme and ultimate Cause of all which are manifested in His creation, and not merely manifested, but in a manner — after being brought out of his superessential nature into the stage of being...
الصفحة 324 - Pyramids, arches, obelisks were but the irregularities of vainglory and wild enormities of ancient magnanimity. But the most magnanimous resolution rests in the Christian religion, which trampleth upon pride and sits on the neck of ambition, humbly pursuing that infallible perpetuity unto which all others must diminish their diameters and be poorly seen in angles of contingency.
الصفحة 95 - That man's soul is made to contain not merely a consistent scheme of its own notions, but a direct apprehension of real and eternal laws beyond it, is not too absurd to be maintained. That these real and eternal laws are things intelligible, and not things sensible, is not very extravagant either. That these laws impressed upon creation by its Creator, and apprehended by man, are something...