Cambridge examination papers: a suppl. to the University calendar, 1856-59 |
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Page 43
... angles is less than the sum of the squares on the sides including this angle , by twice the rectangle contained by either of these sides , and the straight line intercepted between the acute angle and the perpendicular drawn to this ...
... angles is less than the sum of the squares on the sides including this angle , by twice the rectangle contained by either of these sides , and the straight line intercepted between the acute angle and the perpendicular drawn to this ...
Page 44
... angles at the vertex are right angles ; shew that the sum of the perpendiculars on the faces from any point of the base is constant . 7. SP is the focal distance , PT the tangent , and PG the normal of any point P of a parabola : state ...
... angles at the vertex are right angles ; shew that the sum of the perpendiculars on the faces from any point of the base is constant . 7. SP is the focal distance , PT the tangent , and PG the normal of any point P of a parabola : state ...
Page 45
... a logarithm , and find log , 3125 . Prove that loga N = logab.logь N ; and , having given log102 = 301030 and log10 7 = * 845098 , find log10 98 , and log1000 5 343 * 8. Define the sine of an angle , and prove MATHEMATICAL TRIPOS . 45.
... a logarithm , and find log , 3125 . Prove that loga N = logab.logь N ; and , having given log102 = 301030 and log10 7 = * 845098 , find log10 98 , and log1000 5 343 * 8. Define the sine of an angle , and prove MATHEMATICAL TRIPOS . 45.
Page 46
... angle of a triangle in terms of the sides , and deduce the expression for the sine . If 0 and be the greatest and least angles of a triangle , the sides of which are in arithmetic progression , prove that 4 ( 1 cos 0 ) ( 1 - cos ) = cos ...
... angle of a triangle in terms of the sides , and deduce the expression for the sine . If 0 and be the greatest and least angles of a triangle , the sides of which are in arithmetic progression , prove that 4 ( 1 cos 0 ) ( 1 - cos ) = cos ...
Page 47
... angle between the portions of the upper festoon must be greater than 120o . 4. Find the ratio of the Power to the Weight in the Wheel and Axle , in order that there may be equilibrium . Explain the meaning of the terms ' mechanical ...
... angle between the portions of the upper festoon must be greater than 120o . 4. Find the ratio of the Power to the Weight in the Wheel and Axle , in order that there may be equilibrium . Explain the meaning of the terms ' mechanical ...
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Common terms and phrases
Acts Apostles axis B.D. St John's Beginning bisect Caius Cambridge cent centre of gravity Christ's Church CHURCHILL BABINGTON circle Clare Corpus curve Describe distance Edition ellipse Emman Ending Epistle equation fluid force fulcrum Give a short given Greek Hebrew Illustrate Jesus latus rectum M.A. Trinity College Mention parallel Parse particle perpendicular plane principal prove rectangle contained respectively right angles Scripture shew sides square St John's College St Paul straight line string surface Tertullian Testament Textus Receptus Translate and explain triangle Trin University of Cambridge velocity vertex vertical W. H. MILL weight words ἂν ἀπὸ αὐτοῖς αὐτοῦ αὐτῷ γὰρ δὲ διὰ εἰ εἰς ἐκ ἐν ἐπὶ ἡμῶν καὶ μὲν μὴ οἱ ὅτι οὐ οὐκ οὖν πρὸς τὰ ταῦτα τε τῇ τὴν τῆς τί τὸ τοῖς τὸν τοῦ τοῦ Θεοῦ τοὺς τῷ τῶν ὑμῶν ὡς
Popular passages
Page 204 - Then cometh he to a city of Samaria, which is called Sychar, near to the parcel of ground that Jacob gave to his son Joseph.
Page 204 - Then saith the woman of Samaria unto him, How is it that thou, being a Jew, askest drink of me, which am a woman of Samaria? for the Jews have no dealings with the Samaritans.
Page 12 - GOD, who as at this time didst teach the hearts of thy faithful people by the sending to them the light of thy Holy Spirit ; Grant us by the same Spirit to have a right judgment in all things, and evermore to rejoice in his holy comfort...
Page 209 - Who although he be God and Man; yet he is not two, but one Christ; One; not by conversion of the Godhead into flesh: but by taking of the Manhood into God; One altogether, not by confusion of Substance: but by unity of Person.
Page 118 - WE watched her breathing through the night, Her breathing soft and low, As in her breast the wave of life Kept heaving to and fro. So silently we seemed to speak, So slowly moved about, As we had lent her half our powers To eke her living out. Our very hopes belied our fears, Our fears our hopes belied—- We thought her dying when she slept, And sleeping when she died. For when the morn came, dim and sad, And chill with early showers, Her quiet eyelids closed — she had Another morn than ours.
Page 2 - The Greek Testament: with a critically revised Text; a Digest of Various Readings; Marginal References to verbal and Idiomatic Usage; Prolegomena; and a Critical and Exegetical Commentary. For the Use of Theological Students and Ministers, By HENRY ALFORD, DD, Dean of Canterbury. Vol. I., containing the Four Gospels.
Page 43 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Page 209 - Every man's work shall be made manifest: for the day shall declare it, because it shall be revealed by fire; and the fire shall try every man's work of what sort it is. If any man's work abide which he hath built thereupon, he shall receive a reward. If any man's work shall be burned, he shall suffer loss: but he himself shall be saved; yet so as by fire.
Page 145 - I, once gone, to all the world must die. The earth can yield me but a common grave, When you entombed in men's eye» shall lie. Your monument shall be my gentle verse...
Page 181 - If a straight line be divided into two equal parts, and also into two unequal parts; the rectangle contained by the unequal parts, together with the square of the line between the points of section, is equal to the square of half the line.