The Geological Concept of Mountains In The Qur'an by Zaghlul El-Naggar

By Zaghlul El-Naggar

This publication highlights the proof that weren't recognized earlier than the flip of the 20 th century, and issues out these findings supported within the Qur'an.

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By Zaghlul El-Naggar

This publication highlights the proof that weren't recognized earlier than the flip of the 20 th century, and issues out these findings supported within the Qur'an.

Show description

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Extra info for The Geological Concept of Mountains In The Qur'an

Sample text

2 there is a line exg+J3T)=O at every point of which (except (0, 0) ) F(~, T); a, b) >0 and another line ex' ~+f3'T)=0 at every point of which (except (0, 0) ) F(~, T); a, b) <0. It follows immediately from continuity considerations that there exists 0>0 such that F(g, T); ai, b'»O if ex~+f3T)=O and la'-alf(a, b) f(a+h, b+k)

However it often happens that neither of the two procedures described above is convenient. We now describe a third procedure which is often the most convenient even where one or other of the given two is applicable. However, we will content ourselves with finding stationary points, laying down no preferred procedure for determining whether they are maxima or minima. Thus the problem is to determine stationary points of w f(x, y, z) subject to g(x, y, z) =0. 3) that oz oglox.. 3) and (x, y, z) is a stationary point.

Thus the problem is to determine stationary points of w f(x, y, z) subject to g(x, y, z) =0. 3) that oz oglox.. 3) and (x, y, z) is a stationary point. The argument as it stands appears to depend on ~! being non-zero, but since we may ° eliminate x, y, or z, it really depends on there being no point · h og og = og ' ( . , the vertex of a cone). If such points occur, we do not consider them in investigating stationary points of j. 3) together with the equation g(x, y, z) =0 enable us to find the stationary points of the function j restricted to the surface g(x, y, z) =0.

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