Solid Geometry
Solid Geometry
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In our eReader you can find the full English version of the book. Read Solid Geometry 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 Solid Geometry
What reading level is Solid Geometry book?
To quickly assess the difficulty of the text, read a short excerpt:
4) are cut by the parallel planes a, /3, y (note that AEB, CFD are not necessarily in the same plane).
10 SOLID GEOMETRY To prove that AE : EB = CF : FD.
Proof Let AD meet the plane /? in X.
Join AC, BD, EX, XF.
The plane ABD cuts || planes ^, y in || lines EX, BD.
. '. AE: EB = AX : XD.
Similarly, CF : FD == AX : XD.
. '. AE: EB = CF : FD.
A E W . .
fi 1 L .
Li. - Ex. 35. In what case are E, X, F in a straight line? (fig. 4. ) Ex. 36. In what ease are AC and BD parallel? (fig. 4. ) fEx. 37. Po...ints A, B, C, D in a plane are joined to a point O not in the plane. OA, OB, OC, CD are divided in the same ratio at A', B', C, D'. Prove that A'B'C'D' is a plane quadrilateral similar to ABCD. (Let plane A'B'C cut CD in X ; shew that X coincides with D'. ) Ex. 38. A stick 1 foot long is placed inside a box 10 inches high, touching the top and bottom. Prove that the locus of any point on the stick is a plane.
CHAPTER III.
PERPENDICULAR POSITIONS OF LINES AND PLANES.
It is obvious that if a line is perpendicular to a plane, it is perpendicular to any line that lies in that plane and meets it.
What to read after Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by C Charles Godfrey to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
4) are cut by the parallel planes a, /3, y (note that AEB, CFD are not necessarily in the same plane).
10 SOLID GEOMETRY To prove that AE : EB = CF : FD.
Proof Let AD meet the plane /? in X.
Join AC, BD, EX, XF.
The plane ABD cuts || planes ^, y in || lines EX, BD.
. '. AE: EB = AX : XD.
Similarly, CF : FD == AX : XD.
. '. AE: EB = CF : FD.
A E W . .
fi 1 L .
Li. - Ex. 35. In what case are E, X, F in a straight line? (fig. 4. ) Ex. 36. In what ease are AC and BD parallel? (fig. 4. ) fEx. 37. Po...ints A, B, C, D in a plane are joined to a point O not in the plane. OA, OB, OC, CD are divided in the same ratio at A', B', C, D'. Prove that A'B'C'D' is a plane quadrilateral similar to ABCD. (Let plane A'B'C cut CD in X ; shew that X coincides with D'. ) Ex. 38. A stick 1 foot long is placed inside a box 10 inches high, touching the top and bottom. Prove that the locus of any point on the stick is a plane.
CHAPTER III.
PERPENDICULAR POSITIONS OF LINES AND PLANES.
It is obvious that if a line is perpendicular to a plane, it is perpendicular to any line that lies in that plane and meets it.
What to read after Solid Geometry?
You can find similar books in the "Read Also" column, or choose other free books by C Charles Godfrey to read onlineMoreLess
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