Proceedings of the Edinburgh Mathematical Society, Volumes 15-16

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Scottish Academic Press, 1897 - Electronic journals
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Page 81 - The line which joins the mid-points of two sides of a triangle is parallel to the third side and equal to one half of it.
Page 115 - In the three sides of an equiangular field stand three trees at the distances of 10, 12, and 16 chains from one another ; to find the content of the field, it being the greatest the data will admit of.
Page 26 - Formeln und Lehrsätze zum Gebrauche der elliptischen Functionen, nach Vorlesungen und Aufzeichnungen des Herrn K.
Page 102 - The quantuplicity of A with respect to B may be estimated by examining how the multiples of A are distributed among the multiples of B, when both are arranged in ascending order of magnitude and the series of multiples continued without limit.
Page 39 - In spherical triangles, whether right angled or oblique angled, the sines of the sides are proportional to the sines of the angles opposite to them.
Page 100 - II. A greater magnitude is said to be a multiple of a less, when the greater is measured by the less, that is, ' when the greater contains the less a certain number of times exactly.' III. " Ratio is a mutual relation of two magnitudes of the same kind to one another, in respect of quantity.
Page 102 - If CP and BP be produced to E and F, it will appear from Art. 35. and 36. that the Sine of BPE muft be to that of APE, as a to b; and the Sine of CPF (BPE) to that of APF, as a to r.
Page 76 - ... Nine-points Circle. If any conic be inscribed in a given triangle and a confocal to it pass through the circumcentre , then the circle through the intersection of these two confocals touches the nine-points circle of the triangle (p. 74—75). S 2 CHS CARSLAW. The Steady Motion of a Spherical Vortex. The possibility of the steady motion of a spherical vortex of constant vorticity in an infinite homogeneous liquid was first pointed out by Hill in the Phil. Trans., 1894, p. 213—245 (Rev. sem....
Page 47 - Stewart's theorem enables us to resolve easily the following problem : " To draw a circle touching another given circle and passing through two given points.

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