Plane Geometry
Plane Geometry
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In our eReader you can find the full English version of the book. Read 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 Plane Geometry
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Prove it. 9. If two circles are tangent externally, the corresponding segments of two lines drawn through the point of contact and terminated by the circles are proportional. 10. If two circles are tangent externally, their common ex- ternal tangent is the mean proportional between their diameters. 11. AB and AC are chords drawn from any point A on a circle, and AD is sl diameter. If the tangent at D intersects AB and AC 2it E and F, the triangles ABC and AEFave similar. 12. If ^D and BE are tw...o altitudes of the triangle ABC, the triangles DEC and ABC are similar. P^'" 172 BOOK III. PLANE GEOMETEY Proposition XVIII. Theorem 292. If tivo polygons are similar^ they can he sepa- rated into the same number of triangles^ similar each to each^ and similarly placed. Given two similar polygons ABCDEand, A^B^CD'E' with angles Ay B, C, 2), E equal to angles A\ B\ C\ D\ E^ respectively. To prove that ABODE and A'B'C'B'JS' can he separated into the same number of triangles^ similar each to eac\ and similarly placed.
What to read after Plane Geometry?
You can find similar books in the "Read Also" column, or choose other free books by George Wentworth to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Prove it. 9. If two circles are tangent externally, the corresponding segments of two lines drawn through the point of contact and terminated by the circles are proportional. 10. If two circles are tangent externally, their common ex- ternal tangent is the mean proportional between their diameters. 11. AB and AC are chords drawn from any point A on a circle, and AD is sl diameter. If the tangent at D intersects AB and AC 2it E and F, the triangles ABC and AEFave similar. 12. If ^D and BE are tw...o altitudes of the triangle ABC, the triangles DEC and ABC are similar. P^'" 172 BOOK III. PLANE GEOMETEY Proposition XVIII. Theorem 292. If tivo polygons are similar^ they can he sepa- rated into the same number of triangles^ similar each to each^ and similarly placed. Given two similar polygons ABCDEand, A^B^CD'E' with angles Ay B, C, 2), E equal to angles A\ B\ C\ D\ E^ respectively. To prove that ABODE and A'B'C'B'JS' can he separated into the same number of triangles^ similar each to eac\ and similarly placed.
What to read after Plane Geometry?
You can find similar books in the "Read Also" column, or choose other free books by George Wentworth to read onlineMoreLess
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