Cambridge University Examination Papers.Michaelmas Term,1884 to Easter Term,1885.Volume XIV |
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Página 11
... triangle also that 8. Prove that sin A = sin B sin C = ; a b C cot C - cot B b2 - c2 bc cosec A. A sin = 2 - ( s − b ) ( s − c ) bc long . Hence find the sines of the angles of a triangle whose sides are 7 , 8 and 9 feet 9. In a triangle ...
... triangle also that 8. Prove that sin A = sin B sin C = ; a b C cot C - cot B b2 - c2 bc cosec A. A sin = 2 - ( s − b ) ( s − c ) bc long . Hence find the sines of the angles of a triangle whose sides are 7 , 8 and 9 feet 9. In a triangle ...
Página 12
... triangle a = c cos B + b cos C ; also that ab cos C + bc cos A + ca cos B : a2 + b2 + c2 = 2 - 8. Prove that a ) COS = A s ( s 2 N bc Hence find the sines of the angles of a triangle whose sides are 9 , 10 and 11 feet long . 75 , A = 37 ...
... triangle a = c cos B + b cos C ; also that ab cos C + bc cos A + ca cos B : a2 + b2 + c2 = 2 - 8. Prove that a ) COS = A s ( s 2 N bc Hence find the sines of the angles of a triangle whose sides are 9 , 10 and 11 feet long . 75 , A = 37 ...
Página 13
... triangle taken in order . Give a geometrical construction for resolving a force into two others , one of which is given in magnitude and the other in direction . 4. Find the magnitude and line of action of the resultant of two parallel ...
... triangle taken in order . Give a geometrical construction for resolving a force into two others , one of which is given in magnitude and the other in direction . 4. Find the magnitude and line of action of the resultant of two parallel ...
Página 14
... triangle . 6. If a body rest on a horizontal plane the vertical through the centre of gravity must fall within the base . 7. State the conditions of equilibrium on a lever , and prove them in the case of a straight lever with the forces ...
... triangle . 6. If a body rest on a horizontal plane the vertical through the centre of gravity must fall within the base . 7. State the conditions of equilibrium on a lever , and prove them in the case of a straight lever with the forces ...
Página 33
... triangle be produced , the angles on the other side of the base are equal to one another . 3. If two triangles have two sides of the one equal to two sides of the other , each to each , but the base of the one greater than the base of ...
... triangle be produced , the angles on the other side of the base are equal to one another . 3. If two triangles have two sides of the one equal to two sides of the other , each to each , but the base of the one greater than the base of ...
Pasajes populares
Página 434 - And it shall come to pass in the last days, that the mountain of the Lord's house shall be established in the top of the mountains, and shall be exalted above the hills ; and all nations shall flow unto it. And many people shall go and say, " Come ye, and let us go up to the mountain of the Lord, to the house of the God of Jacob ; and he will teach us of his ways, and we will walk in his paths : " for out of Zion shall go forth the law, and the word of the Lord from Jerusalem.
Página 67 - Moreover as for me, God forbid that I should sin against the Lord in ceasing to pray for you...
Página 427 - Having therefore obtained help of God, I continue unto this day, witnessing both to small and great, saying none other things than those which the prophets and Moses did say should come : that Christ should suffer, and that he should be the first that should rise from the dead, and should shew light unto, the people, and to the Gentiles.
Página 115 - Jesus saith to Simon Peter, Simon, son of Jonas, lovest thou me more than these ? He saith unto him, Yea, Lord ; thou knowest that I love thee.
Página 428 - His glorious power, unto all patience and long-suffering with joyfulness ; giving thanks unto the FATHER, which hath made us meet to be partakers of the inheritance of the saints in light : Who hath delivered us from the power of darkness, and hath translated us into the kingdom of His dear SON : in whom we have redemption through His blood, even the forgiveness of sins...
Página 247 - There is a pleasure in the pathless woods, There is a rapture on the lonely shore, There is society, where none intrudes, By the deep Sea, and music in its roar: I love not Man the less, but Nature more, From these our interviews, in which I steal From all I may be, or have been before, •To mingle with the Universe, and feel What I can ne'er express, yet cannot all conceal Roll on, thou deep and dark blue Ocean— roll!
Página 247 - Roll on, thou deep and dark blue Ocean— roll! Ten thousand fleets sweep over thee in vain; Man marks the earth with ruin — his control Stops with the shore; upon the watery plain The wrecks are all thy deed...
Página 132 - Reign thou over us. But the olive tree said unto them, Should I leave my fatness, wherewith by me they honour God and man, and go to be promoted over the trees ? And the trees said to the fig tree, Come thou, and reign over us.
Página 423 - Then cometh he to Simon Peter : and Peter saith unto him, Lord, dost thou wash my feet ? Jesus answered and said unto him, What I do thou knowest not now; but thou shalt know hereafter. Peter saith unto him, Thou shalt never wash my feet. Jesus answered him, If I wash thee not, thou hast no part with me.
Página 593 - This land of such dear souls, this dear, dear land, Dear for her reputation through the world, Is now leas'd out (I die pronouncing it), Like to a tenement, or pelting farm: England, bound in with the triumphant sea, Whose rocky shore beats back the envious siege Of watery Neptune, is now bound in with shame, With inky blots, and rotten parchment bonds: That England, that was wont to conquer others, Hath made a shameful conquest of itself.