Modern Geometry
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In our eReader you can find the full English version of the book. Read Modern 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 Modern Geometry
What reading level is Modern Geometry book?
To quickly assess the difficulty of the text, read a short excerpt:
A line PQR cuts the circles again at P and R. Show that AB sub- tends a right angle at the middle point of PR.
86 MISCELLANEOUS PROPERTIES OF THE CIRCLE Ex. 372. From a given point O, straight lines OA, OB, OC are drawn cutting a fixed straight line in A, B, C. A circle OBD is described cutting the circle OAC orthogonally, D being a point on the straight line ABC. Prove that either the angles AOBjand COD are complementary, or one of these angles and the supplement of the other are complementary....
Ex. 373. On a given chord AB of a circle, a fixed point C is taken, and another chord EF is drawn so that the lines AF, BE, and the line joining C to the middle point of EF meet in a point O ; show that the locus of O is a circle.
Ex. 374. A straight line is drawn cutting the sides BC, CA, AB of the triangle ABC in the points D, E, F respectively, so that the ratio FD to DE is constant; show that the citcles FBD, CDE pass through a fixed point.
Ex. 375. If S, S' are the centres of similitude of two circles, prove that the circles subtend equal angles at any point on the circle whose diameter is SS'.
What to read after Modern 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:
A line PQR cuts the circles again at P and R. Show that AB sub- tends a right angle at the middle point of PR.
86 MISCELLANEOUS PROPERTIES OF THE CIRCLE Ex. 372. From a given point O, straight lines OA, OB, OC are drawn cutting a fixed straight line in A, B, C. A circle OBD is described cutting the circle OAC orthogonally, D being a point on the straight line ABC. Prove that either the angles AOBjand COD are complementary, or one of these angles and the supplement of the other are complementary....
Ex. 373. On a given chord AB of a circle, a fixed point C is taken, and another chord EF is drawn so that the lines AF, BE, and the line joining C to the middle point of EF meet in a point O ; show that the locus of O is a circle.
Ex. 374. A straight line is drawn cutting the sides BC, CA, AB of the triangle ABC in the points D, E, F respectively, so that the ratio FD to DE is constant; show that the citcles FBD, CDE pass through a fixed point.
Ex. 375. If S, S' are the centres of similitude of two circles, prove that the circles subtend equal angles at any point on the circle whose diameter is SS'.
What to read after Modern 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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