Geometric Exercises in Paper Folding
Geometric Exercises in Paper Folding
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In this figure, the lines from the midpoints of the sides pass through the comers of the given square, and the central square is one-fifth of it. The magni- tude of the inner square can be varied by taking other points on the sides instead of the comers.
29. The given square can be divided as follows into three equal squares : — Digitized by VjOOQIC III.] SQUARES AND RECTANGLES. 19 Take BG = half the diagonal of the square.
Fold through C and G.
Fold BM perpendicular to CG.
Take MP, CN, and NL ...each -- BM.
Fold PH, NK, LF at right angles to CG, as in the figure.
Take NK = BM, and fold 1KB at right angles to NK.
Then the pieces 1, 4 and 6, 3 and 5, and 2 and 7 form three equal squares.
NowCG2=.3BG2 and from the triangles GBG and GMB BMBG BC "CG .-. BM = -^.
v3 Digitized by VjOOQIC CHAPTER IV.
THE PENTAGON, To cut ofE . a regular pentagon from the square ABCD.
Divide AB in X in medial section and take M the mid point of XB.
Then AB . BX = AX^, BM=MX.
Take AN=BM or MX.
Then MN=AX.
Lay NP and MR equal to MN, so that P and B may lie on AD and BC respectively.
What to read after Geometric Exercises in Paper Folding?
You can find similar books in the "Read Also" column, or choose other free books by Sundara Rao, T. (Tandalam), B. 1853 to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
In this figure, the lines from the midpoints of the sides pass through the comers of the given square, and the central square is one-fifth of it. The magni- tude of the inner square can be varied by taking other points on the sides instead of the comers.
29. The given square can be divided as follows into three equal squares : — Digitized by VjOOQIC III.] SQUARES AND RECTANGLES. 19 Take BG = half the diagonal of the square.
Fold through C and G.
Fold BM perpendicular to CG.
Take MP, CN, and NL ...each -- BM.
Fold PH, NK, LF at right angles to CG, as in the figure.
Take NK = BM, and fold 1KB at right angles to NK.
Then the pieces 1, 4 and 6, 3 and 5, and 2 and 7 form three equal squares.
NowCG2=.3BG2 and from the triangles GBG and GMB BMBG BC "CG .-. BM = -^.
v3 Digitized by VjOOQIC CHAPTER IV.
THE PENTAGON, To cut ofE . a regular pentagon from the square ABCD.
Divide AB in X in medial section and take M the mid point of XB.
Then AB . BX = AX^, BM=MX.
Take AN=BM or MX.
Then MN=AX.
Lay NP and MR equal to MN, so that P and B may lie on AD and BC respectively.
What to read after Geometric Exercises in Paper Folding?
You can find similar books in the "Read Also" column, or choose other free books by Sundara Rao, T. (Tandalam), B. 1853 to read onlineMoreLess
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