On the Study And Difficulties of Mathematics
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If we take the first case as a standard, we may, from the values which it gives, deduce those which hold good in all the other cases. If a second case be taken, and it is required to deduce answers to the ON THE NEGATIVE SIGN, ETC. IIQ second case from those of the first, this is done by changing the sign of all those quantities whose direc- tions are opposite in the second case to what they are in the first, and if any answer should appear in a neg- ative form, such as , when vi is less than «..., in — n ^ ^ , . , , . , ma . . . , which may be written thus , it is a sign that n — PI the quantity which it represents is different in direc- tion in the first and second cases. If it be a right line measured from a given point in all the cases, such as AJI, it is a sign that Alf falls on the left in the second case, if it fell on the right in the first case, and the converse. If it be the time elapsed between the moment in which the couriers are at A and B and their meeting, it is a sign that the moment of meeting is before the other, in the second case, if it were after it in the first, and the converse.
What to read after On the Study And Difficulties of Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by De Morgan Augustus to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If we take the first case as a standard, we may, from the values which it gives, deduce those which hold good in all the other cases. If a second case be taken, and it is required to deduce answers to the ON THE NEGATIVE SIGN, ETC. IIQ second case from those of the first, this is done by changing the sign of all those quantities whose direc- tions are opposite in the second case to what they are in the first, and if any answer should appear in a neg- ative form, such as , when vi is less than «..., in — n ^ ^ , . , , . , ma . . . , which may be written thus , it is a sign that n — PI the quantity which it represents is different in direc- tion in the first and second cases. If it be a right line measured from a given point in all the cases, such as AJI, it is a sign that Alf falls on the left in the second case, if it fell on the right in the first case, and the converse. If it be the time elapsed between the moment in which the couriers are at A and B and their meeting, it is a sign that the moment of meeting is before the other, in the second case, if it were after it in the first, and the converse.
What to read after On the Study And Difficulties of Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by De Morgan Augustus to read onlineMoreLess
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