A Compendium of Mathematical Geography ...

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Longman, Green, Longman, Roberts & Green, 1863 - 238 páginas
 

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Página 122 - evidence of things not seen," in the fulness of Divine grace ; and was profound on this, the greatest concern of human life, while unable even to comprehend how the " inclination of the earth's axis to the plane of its orbit" could be the cause of the change of the seasons.
Página 130 - Day the 25th of March:' this is the whole compass of the fact; with which a reader in those old books has, not without more difficulty than he expects, to familiarise himself.
Página 130 - January there ever since 1600 ; — as in all Catholic countries it had done ever since the Papal alteration of the Style in 1582 ; and as in most Protestant countries, excepting England, it soon after that began to do. Scotland in respect of the day of the month still followed the Old Style. ' New- Year's Day the 25th of March...
Página 59 - ... is equal to the product of the circumference of a great circle of the sphere by the height or thickness of the section, and that the curved surfaces of all sections of a sphere are proportional to the thickness of such sections.
Página 130 - Correspondence (London, 1810), with the lofty air which sits well on him on other occasions, has altogether forgotten the above small circumstance : in consequence of which we have Oxford Carriers dying in January, or the first half of March, and to our great amazement going on to forward butter-boxes in the May following ; — and similar miracles not a few occurring...
Página 132 - ... astronomical equator. The geodetic equator is shown on charts. A fictitious equator is a reference line serving as the origin for measurement of fictitious latitude. A transverse or inverse equator is a meridian the plane of which is perpendicular to the axis of a transverse projection. An oblique equator is a great circle the plane of which is perpendicular to the axis of an oblique projection. A grid equator is a line perpendicular to a prime grid meridian at the origin. The magnetic equator...
Página 229 - ... three-fourths of the surface of the globe is covered with water ; and of the remaining fourth, three parts of the land lie north of the equator. If, however, we, draw a great circle through the coast of Peru and the south of Asia, we divide the surface of the earth into two equal parts, one of which contains nearly all the land, and the other the greater portion of the water. And in connexion with this it is curious to note that London is nearly the centre of the terrestrial hemisphere, and New...
Página 170 - Gravitation all we know is, that it is a force of attraction operating between all the particles of matter in the exact measure which was ascertained by Newton, — that is — "directly as the mass, and inversely as the square of the distance.
Página 72 - ... purely mathematical investigation, and has been treated with perfect clearness and precision by Newton, Maclaurin, Clairaut, and many other eminent geometers ; and the result of their investigations is to show that, owing to the elliptic form of the earth alone, and independent of the centrifugal force, its attraction ought to increase the weight of a body in going from the equator to the pole by almost exactly -5-^5 th part; which, together with -r.-g-gth due to the centrifugal force, make up...
Página 51 - Parallels, which are imaginary circles parallel with the equator, determine latitude. The length of a degree of longitude varies as the cosine of the latitude. At the equator a degree is 69.171 statute miles; this is gradually reduced toward the poles.

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