Robbins New Plane Geometry
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In our eReader you can find the full English version of the book. Read Robbins New Plane 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 Robbins New Plane Geometry
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10. What is the locus of the vertices of the right angles of all the right triangles that can be constructed on a given hypotenuse ? Prove.
11. What is the locus of the vertices of all the triangles which have a given acute angle (at that vertex) and have a given base ? Prove.
116 BOOK II. PLANE GEOMETRY 12. A line of given length moves so that its ends are in two perpen- dicular lines. What is the locus of its midpoint? Prove.
[Suppose AB represents one of the positions of J the... moving line. Draw OP to its midpoint. In all the positions of AB, OP = | A B - a constant (141).
. *. P is always a fixed distance from 0. Etc. ] 13. What is the locus of the midpoints of all the chords that can be drawn through a fixed point on a given circle?
[Suppose AB represents one of the chords from B in circle 0, with radius OB ; and P is the midpoint of A B. Draw OP. Z P is a rt. Z (?). That 'is, where- ever the chord may be drawn, Z P is a rt. Z. . '. Locus of P is, etc. ] 14. A definite line which is always parallel to a given line moves so that one of its extremities is on a given circle.
What to read after Robbins New Plane Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Edward Rutledge Robbins to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If it is less.
10. What is the locus of the vertices of the right angles of all the right triangles that can be constructed on a given hypotenuse ? Prove.
11. What is the locus of the vertices of all the triangles which have a given acute angle (at that vertex) and have a given base ? Prove.
116 BOOK II. PLANE GEOMETRY 12. A line of given length moves so that its ends are in two perpen- dicular lines. What is the locus of its midpoint? Prove.
[Suppose AB represents one of the positions of J the... moving line. Draw OP to its midpoint. In all the positions of AB, OP = | A B - a constant (141).
. *. P is always a fixed distance from 0. Etc. ] 13. What is the locus of the midpoints of all the chords that can be drawn through a fixed point on a given circle?
[Suppose AB represents one of the chords from B in circle 0, with radius OB ; and P is the midpoint of A B. Draw OP. Z P is a rt. Z (?). That 'is, where- ever the chord may be drawn, Z P is a rt. Z. . '. Locus of P is, etc. ] 14. A definite line which is always parallel to a given line moves so that one of its extremities is on a given circle.
What to read after Robbins New Plane Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Edward Rutledge Robbins to read onlineMoreLess
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