This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1893 Excerpt: ...similitude; that is, the circle A'B'C. Again, the perpendiculars at the middle points of B'C, AC, A B' meet in A." Therefore A" is one of the invariable points of the system. Similarly B," G" are the other invariable points. Hence A," B," C" lie on the circle of similitude. Hence the nine points A', B', C, A," B," C," ...
Read More
This historic book may have numerous typos and missing text. Purchasers can download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1893 Excerpt: ...similitude; that is, the circle A'B'C. Again, the perpendiculars at the middle points of B'C, AC, A B' meet in A." Therefore A" is one of the invariable points of the system. Similarly B," G" are the other invariable points. Hence A," B," C" lie on the circle of similitude. Hence the nine points A', B', C, A," B," C," D, E, F, lie on a 235. Ex. 1. Show that three corresponding lines of the triangles AB'C, A'BC, A'B'C form a triangle in perspective with the triangle A'B'C. Ex. 2. Show that the circumcentre of the triangle formed by three corresponding lines lies on the nine-point circle. Ex. 3. The three lines joining A," B," C" to corresponding points of the three triangles cointersect on the nine-point circle of ABC. Ex. 4. Every line which passes through the orthocentre of the triangle ABC meets the circumcircles of the triangles AB'C, A'BC, A'B'C in points which are corresponding points for the three triangles. Ex. 5. If P, Pl, P2, P3 be corresponding points of the triangles ABC, AB'C, A'BC, A'B'C, show that A"Pl, B"P2, C"P3 meet the nine-point circle of ABC in the point which is the isogonal conjugate, with respect to the triangle A"B"C, of the point at infinity on the line joining P to the circumcentre of ABC. Ex. 6. Show that the lines joining A," B," C" to the in-centres of the triangles AB'C, BC'A', CA'B' respectively cointersect in the point of contact of the nine-point circle of the triangle ABC with its inscribed circle. circle. 236. Ex. 1. If directly similar figures be described on the perpendiculars of a triangle A BC, show that the circle of similitude will be the circle whose diameter is the line joining the median point of the triangle t...
Read Less
Add this copy of An Elementary Treatise On Modern Pure Geometry to cart. $20.57, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of An Elementary Treatise On Modern Pure Geometry to cart. $30.01, new condition, Sold by Ingram Customer Returns Center rated 5.0 out of 5 stars, ships from NV, USA, published 2022 by Legare Street Press.
Add this copy of An Elementary Treatise on Modern Pure Geometry [ 1893 ] to cart. $43.00, new condition, Sold by Revaluation Books rated 4.0 out of 5 stars, ships from Exeter, DEVON, UNITED KINGDOM, published 2009 by Cornell University Library.
Add this copy of An Elementary Treatise on Modern Pure Geometry to cart. $43.00, new condition, Sold by Revaluation Books rated 4.0 out of 5 stars, ships from Exeter, DEVON, UNITED KINGDOM, published 2007 by Cornell University Library.
Add this copy of An Elementary Treatise On Modern Pure Geometry to cart. $51.73, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2022 by Legare Street Press.
![An Elementary Treatise on Modern Pure Geometry [ 1893 ]](https://www0.alibris-static.com/isbn/9781171614920_t.gif)
