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
... angle . ” How is the size of an angle measured ? What is the test , for instance , that one angle is twice as great as another ? or that two angles are equal ? 2. Quote Euclid's postulates . 3. Write out the propositions of which the ...
... angle . ” How is the size of an angle measured ? What is the test , for instance , that one angle is twice as great as another ? or that two angles are equal ? 2. Quote Euclid's postulates . 3. Write out the propositions of which the ...
Σελίδα 103
... angle equal to a given angle . ABC is a triangle , D any point in the side BC ; find a point E in BA produced , so that the triangle EBD shall be equal to the triangle ABC . 6. Divide a straight line into two parts , so that the ...
... angle equal to a given angle . ABC is a triangle , D any point in the side BC ; find a point E in BA produced , so that the triangle EBD shall be equal to the triangle ABC . 6. Divide a straight line into two parts , so that the ...
Σελίδα 118
... angle the area of an ellipse . If a circle concentric with the ellipse , and radius ab , be described cutting the ellipse ; the area of that portion of each curve that lies without the other is the same . 8. Shew that the equation Ar + ...
... angle the area of an ellipse . If a circle concentric with the ellipse , and radius ab , be described cutting the ellipse ; the area of that portion of each curve that lies without the other is the same . 8. Shew that the equation Ar + ...
Σελίδα 120
... angles to one another ; find when their sum is a maximum and when a minimum . 7. Change the independent variables from r , e to x , y , in the expression 1 d2u d2u 1 du . + + r2 do2 dr2 r dr 8. Explain what is meant by the mean value of ...
... angles to one another ; find when their sum is a maximum and when a minimum . 7. Change the independent variables from r , e to x , y , in the expression 1 d2u d2u 1 du . + + r2 do2 dr2 r dr 8. Explain what is meant by the mean value of ...
Σελίδα 121
... angle to one of the prin- cipal sections , shew that Co820 sin20 1 P p1 + på IV . APPLIED MATHEMATICS . 1. Define a couple , the moment of a couple , the axis of a couple . Find the resultant of two couples acting in different planes ...
... angle to one of the prin- cipal sections , shew that Co820 sin20 1 P p1 + på IV . APPLIED MATHEMATICS . 1. Define a couple , the moment of a couple , the axis of a couple . Find the resultant of two couples acting in different planes ...
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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.