The Cambridge Examiner, Τόμος 2J. Palmer, 1882 |
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Σελίδα 29
... Prove that ( i ) a + b = b + a ; - ( ii ) a ( b + c - d + e ) = a - b - c + d - e ; ( iii ) an × b2 = ab " ; -n ( iv ) am × a ̄1 = am — n ̧ 4. Multiply 5 + 5x + y + 10x3y2 + 10x2y + 5xy + y5 by x - y . Divide x + 3x3y - 16x2y2 + 3xy3 + ...
... Prove that ( i ) a + b = b + a ; - ( ii ) a ( b + c - d + e ) = a - b - c + d - e ; ( iii ) an × b2 = ab " ; -n ( iv ) am × a ̄1 = am — n ̧ 4. Multiply 5 + 5x + y + 10x3y2 + 10x2y + 5xy + y5 by x - y . Divide x + 3x3y - 16x2y2 + 3xy3 + ...
Σελίδα 32
... prove the principle of virtual velocities for a system of forces in one plane . 3. Describe the lever , and find the conditions of equilibrium when the lever is of any form , and the power and weight act in any given directions . 4. A ...
... prove the principle of virtual velocities for a system of forces in one plane . 3. Describe the lever , and find the conditions of equilibrium when the lever is of any form , and the power and weight act in any given directions . 4. A ...
Σελίδα 33
Higher Mathematics . Women . TRIGONOMETRY AND CONICS . A 1. Prove that 2 sin = √1 + sin A ± √1 - sin A. 2 A 2 Find the limits between which must lie in order that = 1 + sin 4 - √1 - sin A. A 2 sin 2 2. The cosine of 105 ° = - √3-1 2 ...
Higher Mathematics . Women . TRIGONOMETRY AND CONICS . A 1. Prove that 2 sin = √1 + sin A ± √1 - sin A. 2 A 2 Find the limits between which must lie in order that = 1 + sin 4 - √1 - sin A. A 2 sin 2 2. The cosine of 105 ° = - √3-1 2 ...
Σελίδα 36
... prove that it is not a plant ? 2. What do you understand by " undifferentiated protoplasm " and a " silicious skeleton " ? 3. What is the meaning and derivation of the word " protozoa " ? Give a classification of this sub - kingdom ...
... prove that it is not a plant ? 2. What do you understand by " undifferentiated protoplasm " and a " silicious skeleton " ? 3. What is the meaning and derivation of the word " protozoa " ? Give a classification of this sub - kingdom ...
Σελίδα 37
( c ) 1. Enumerate the arguments by which it can be proved that the earth is a globe . 2. Describe the motion of the earth to which the succession of day and night is due , and explain why days and nights are not equal . 3. What is a ...
( c ) 1. Enumerate the arguments by which it can be proved that the earth is a globe . 2. Describe the motion of the earth to which the succession of day and night is due , and explain why days and nights are not equal . 3. What is a ...
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Σελίδα 405 - REVENGE is a kind of wild justice; which the more man's nature runs to, the more ought law to weed it out. For as for the first wrong, it doth but offend the law; but the revenge of that wrong putteth the law out of office.
Σελίδα 356 - I was dressed, and found that his landlady had arrested him for his rent, at which he was in a violent passion. I perceived that he had already changed my guinea, and had got a bottle of madeira and a glass before him. I put the cork into the bottle, desired he would be calm, and began to talk to him of the means by which he might be extricated.
Σελίδα 28 - IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Σελίδα 303 - Felix qui potuit rerum cognoscere causas, Atque metus omnes et inexorabile fatum Subjecit pedibus, strepitumque Acherontis avari!
Σελίδα 347 - Their number last he sums. And now his heart Distends with pride, and hardening in his strength Glories ; for never since created man Met such embodied force, as named with these Could merit more than that small infantry Warred on by cranes : though all the giant brood Of Phlegra...
Σελίδα 273 - What matter where, if I be still the same, And what I should be ; all but less than He Whom thunder hath made greater...
Σελίδα 364 - If a straight line be divided into any two parts, four times the rectangle contained by the whole line, and one of the parts, together with the square of the other part, is equal to the square of the straight line which is made up of the whole and that part.
Σελίδα 315 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Σελίδα 356 - I received one morning a message from poor Goldsmith that he was in great distress, and as it was not in his power to come to me, begging that I would come to him as soon as possible. I sent him a guinea, and promised to come to him directly. I accordingly went as soon as I was dressed, and found that his landlady had arrested him for his rent, at which he was in a violent passion. I perceived that he had already changed my guinea, and...
Σελίδα 471 - All places that the eye of heaven visits Are to a wise man ports and happy havens. Teach thy necessity to reason thus ; There is no virtue like necessity.