Examinations for matriculation in the year 1842 / University of London.
- University of London
- Date:
- 1842
Licence: Public Domain Mark
Credit: Examinations for matriculation in the year 1842 / University of London. Source: Wellcome Collection.
Provider: This material has been provided by Royal College of Physicians, London. The original may be consulted at Royal College of Physicians, London.
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No text description is available for this image![(X \ n 1 -f — j when n is infinite. 8. Give an explanation of the phaenomena of the action of capillary tubes and inclined glass plates on water and mer- cury. 9. Describe the Camera Lucida and the simple Microscope. 10. Explain the Mirage and the Fata Morgana. THURSDAY, July 14.—Afternoon, 3 to 6. GENERAL QUESTIONS. Examiner, Mr. Jerrard. 1. Show that the area of a quadrilateral figure inscribed in a circle will be equal to • V (P~a) (P - ?>) (P - e) [P - <0, where a, b, c, d are the sides, and p = £ (a + b + c -r d). 2. Investigate the expressions (P 1 + g— o — 1 . . (ft Y 1 — g — 9 a/— ] cos0=- , sin 0 = JL , 2 2 U- 1 and expand Nap. log (1 — n cos 0) in a series of the form A + B cos 0 + C cos 2 0 + .. 3. Show how to solve by trigonometry the equation x2 + a x + b — 0. 4. Investigate the relations which the sides and angles of a spherical triangle bear to those of its polar triangle, and thence deduce the expression for the cosine of a side in terms](https://iiif.wellcomecollection.org/image/b28040259_0031.jp2/full/800%2C/0/default.jpg)