The Teaching of High School Mathematics
The Teaching of High School Mathematics
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In our eReader you can find the full English version of the book. Read The Teaching of High School Mathematics Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book The Teaching of High School Mathematics
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To quickly assess the difficulty of the text, read a short excerpt:
Overturn XYZ, so that j5 the order of parts will be the same as ABC Then proceed with the same -^ ^ ^ proof as before.
The motion of sliding could be exhibited as a pure translation by drawing B Y, to cut ZX as at Q, and z^ j^ then sliding XYZ along fig. 4 BY until F reaches jff/ then we could rotate 55 TEACHING MATHEMATICS about B until x falls on a and so on. The objec- tion is of course the artificial character of the device ; and for the sake of a theoretical ad- vantage, remote at best, it... seems hardly worth while.
Figures are symmetrical about an axis when one can be made to fit exactly upon the other by overturning its half of the plane about that line, as a door upon its hinge. By analogy with a mir- ror, one of the figures may be called the image of the other.
Two symmetrical lines intersect the axis at the same point and make equal angles with it ; two symmetrical points are in a straight line per- pendicular to the axis, and are equally distant from it.
A very important theorem, and one that should be placed early, is that the figure formed by two intersecting circles is symmetrical about its line of centres.
What to read after The Teaching of High School Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by George W George William Evans to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Overturn XYZ, so that j5 the order of parts will be the same as ABC Then proceed with the same -^ ^ ^ proof as before.
The motion of sliding could be exhibited as a pure translation by drawing B Y, to cut ZX as at Q, and z^ j^ then sliding XYZ along fig. 4 BY until F reaches jff/ then we could rotate 55 TEACHING MATHEMATICS about B until x falls on a and so on. The objec- tion is of course the artificial character of the device ; and for the sake of a theoretical ad- vantage, remote at best, it... seems hardly worth while.
Figures are symmetrical about an axis when one can be made to fit exactly upon the other by overturning its half of the plane about that line, as a door upon its hinge. By analogy with a mir- ror, one of the figures may be called the image of the other.
Two symmetrical lines intersect the axis at the same point and make equal angles with it ; two symmetrical points are in a straight line per- pendicular to the axis, and are equally distant from it.
A very important theorem, and one that should be placed early, is that the figure formed by two intersecting circles is symmetrical about its line of centres.
What to read after The Teaching of High School Mathematics?
You can find similar books in the "Read Also" column, or choose other free books by George W George William Evans to read onlineMoreLess
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