The student's guide to the University of Durham, with information respecting expenses, scholarships, examinations and degreesPrinted and published at the "Advertiser" Office, 1880 - 190 σελίδες |
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Σελίδα 90
... triangle be produced , the ex- terior angle is equal to the two interior and opposite angles ; and the three interior angles of every tri- angle are together equal to two right angles . ( v . ) Parallelograms on the same base , and ...
... triangle be produced , the ex- terior angle is equal to the two interior and opposite angles ; and the three interior angles of every tri- angle are together equal to two right angles . ( v . ) Parallelograms on the same base , and ...
Σελίδα 103
... triangle with the opposite angular points meet in one point . 5. On a given straight line describe a parallelogram equal to a given triangle , and having an angle equal to a given angle . ABC is a triangle , D any point in the side BC ...
... triangle with the opposite angular points meet in one point . 5. On a given straight line describe a parallelogram equal to a given triangle , and having an angle equal to a given angle . ABC is a triangle , D any point in the side BC ...
Σελίδα 117
... triangle a point O be taken , and AO , BO , CO intersect the opposite sides in D , E , F ; and if also EF , BC intersect in G ; FD , CA in H ; DE , AB in K , prove that GHK is a straight line . Also prove that if the point O be always ...
... triangle a point O be taken , and AO , BO , CO intersect the opposite sides in D , E , F ; and if also EF , BC intersect in G ; FD , CA in H ; DE , AB in K , prove that GHK is a straight line . Also prove that if the point O be always ...
Σελίδα 121
... triangle DEF , and if they intersect the opposite sides in G , H , K ; then will GHK be a straight line and AD , BE , CF will intersect in one point which is the pole of this straight line with respect to the conic . 10. Find the co ...
... triangle DEF , and if they intersect the opposite sides in G , H , K ; then will GHK be a straight line and AD , BE , CF will intersect in one point which is the pole of this straight line with respect to the conic . 10. Find the co ...
Σελίδα 123
... triangle of height h is placed in an elastic heavy fluid with its base uppermost and hori- zontal and plane vertical . If I be the pressure at any point of the base , find the centre of pressure . 8. Find the equation which gives the ...
... triangle of height h is placed in an elastic heavy fluid with its base uppermost and hori- zontal and plane vertical . If I be the pressure at any point of the base , find the centre of pressure . 8. Find the equation which gives the ...
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Σελίδα 112 - As bees In spring time, when the sun with Taurus rides, Pour forth their populous youth about the hive In clusters : they among fresh dews and flowers Fly to and fro, or on the smoothed plank, The suburb of their straw-built citadel, New rubb'd with balm, expatiate, and confer Their state affairs : so thick the aery crowd Swarm'd and were straiten'd; till, the signal given, Behold a wonder!
Σελίδα 112 - Behold a wonder ! They but now who seemed In bigness to surpass earth's giant sons, Now less than smallest dwarfs, in narrow room Throng numberless...
Σελίδα 83 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 90 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Σελίδα 90 - AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part.
Σελίδα 136 - If a straight line be divided into any two parts, the rectangle contained by the whole and one of the parts, is equal to the rectangle contained by the two parts, together with the square of the aforesaid part.
Σελίδα 136 - ... the sides containing the obtuse angle, by twice the rectangle contained by the side upon which, when produced, the perpendicular falls, and the straight line intercepted without the triangle between the perpendicular and the obtuse...
Σελίδα 90 - In any right-angled triangle, the square which is described upon the side subtending the right angle, is equal to the squares described upon the sides which contain the right angle.
Σελίδα 112 - The seas that roll unnumber'd waves; The wood that spreads its shady leaves; The field whose ears conceal the grain, The yellow treasure of the plain; All of these, and all I see, Should be sung, and sung by me : They speak their maker as they can, But want and ask the tongue of man.
Σελίδα 129 - And on the sabbath we went out of the city by a river side, where prayer was wont to be made ; and we sat down, and spake unto the women which resorted thither.