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analogous angle appear axes axis called circle climate co-ordinates coefficients colour combined common compound condition cone connected considered constant containing corresponding crystal curvature curved deduced denote dependence described determined direction equal equations evident expressions extreme final former formula four fractional function give given guiding homogeneous function initial intersection Ireland light manner mark mean medium method moments multiple namely needle normal observations obtained optical origin parallel passing path perpendicular plane positive present principal produced quantity ratio ray-lines reciprocal refraction relation remarkable respect step supposed surface SV SV tangent theory tion uniform values variable variations wave whole winter δα δε δι δσ δσδτ δτ δυ δχ δΩ ΣΩ
Page 177 - Nee nulla interea est inaratae gratia terrae. Saepe etiam steriles incendere profuit agros, Atque levem stipulam crepitantibus urere flammis...
Page 292 - ... negative numbers., or numbers denoting magnitudes each less than nothing, may be multiplied the one by the other, and that the product will be a positive number, or a number denoting a magnitude greater than nothing; and that although the square of a number, or the product obtained by multiplying that number by itself, is therefore always positive, whether the number be positive or negative, yet that numbers, called imaginary, can be found or conceived or determined, and operated on by all the...
Page 81 - The Romans consecrated the first of April to Venus, the goddess of beauty, the mother of love, the queen of laughter, the mistress of the graces ; and the Roman widows and virgins assembled in the temple of Virile Fortune, and dis• Siiver*i Disquijiiticni.
Page 190 - ... will be found fallacious. To do justice to popular observation, I may now state, that in a majority of our summers, a showery period, which, with some latitude as to time and local circumstances, may be admitted to constitute daily rain for forty days, does come on about the time indicated by this tradition : not that any long space before is often so dry as to mark distinctly its commencement.
Page 223 - May we not recognise in this the hand of bounteous Providence, which has given perhaps the most stony soil in Europe to /the moistest climate in it? If as much rain fell upon the clays of England (a soil very rarely met with in Ireland, and never without much stone) as falls upon the rocks of her sister island, those lands could not be cultivated. But the rocks here are clothed with verdure; those of limestone, with only a thin covering of mould, have the softest and most beautiful turf imaginable.
Page 139 - ... the foot of the perpendicular let fall from the centre of the wave on the plane of circular contact.
Page 215 - The winters of 1766, 1767, and 1768 were very cold all over Europe. In France, the thermometer fell six degrees below the zero of Fahrenheit's scale. The large rivers and the most copious springs in many parts were frozen. The thermometer, laid on the surface of the snow at Glasgow, fell two degrees below zero. In 1771 the snow lay very deep, and the Elbe was frozen to the bottom. In 1776 much snow fell, and the cold was intense. The Danube bore ice...
Page 205 - Ireland the winter yieldeth best services, for then the trees are bare and naked, which use both to clothe and house the kern ; the ground is cold and wet, which useth to be his bedding ; the air is sharp and bitter to blow through his naked sides and legs...
Page 230 - I have ascertained, by experiment, that the darkest coloured dry soil, (that which contains abundance of animal or vegetable matter, substances which most facilitate the diminution of temperature,) when heated to the same degree, provided it be within the common limits of the effect of solar heat, will cool more slowly than a wet pale soil, entirely composed of earthy matter.