 | Bombay city, univ - 1880 - 750 pages
...triangle be bisected by a 15 straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another. In the base BC of a triangle A BC a point D is taken so that BD : DC :: BA : AC, and... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...also cuts the base produced ; the segments between the dividing line and the extremities of the base have the same ratio which the other sides of the triangle have to one another. 11. When are three lines said to be in harmonical proportion? If both the interior... | |
 | French Ensor Chadwick - Merchant marine - 1880 - 222 pages
...same ratio which the other sides of the triangle have to one another ; and if the segments of the base have the same ratio which the other sides of the triangle have to one another, the straight line drawn from the vertex to the point of section shall bisect the vertical... | |
 | James Russell Soley - Naval education - 1880 - 346 pages
...same ratio which the other sides of the triangle have to one another ; and if the segments of the base have the same ratio which the other sides of the triangle have to one another, the straight line drawn from the vertex to the point of section shall bisect the vertical... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...conversely, if the segment! of the base produced have the tame ratio to one another which the adjacent sides of the triangle have, the straight line drawn from the vertex to the point of lection, bisccfs the exterior angle of the triangle. Let ABC be a triangle, having one of its sides... | |
 | Education, Higher - 1882 - 498 pages
...divided into two equal angles by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another ; and conversely, if the segments of the base have the same ratio which the other sides... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...extremities of the base shall have the same ratio which the other sides of the triangle have to one another; and if the segments of the base produced have the...same ratio which the other sides of the triangle have to one another, the straight line drawn from the vertex to the point of section shall bisect the exterior... | |
 | Euclides - 1884 - 434 pages
...triangle have. Conversely : If the external segments of the base have to one another the same ratio as the other sides of the triangle have, the straight line drawn from the vertex to flie point of section shall bisect the exterior vertical angle, FBC D (1) Let the exterior vertical... | |
 | University of Cambridge - 1884 - 624 pages
...equilateral triangle. 8. If the segments between the extremities of the base of a triangle and a point in the base produced have the same ratio which the other sides of the triangle have to one another, the straight line drawn from the vertex to the point of section shall bisect the exterior... | |
 | Woolwich roy. military acad - 1884 - 148 pages
...a triangle be bisected by a straight line which also cuts the base, the segments of the base shall have the same ratio which the other sides of the triangle have to one another. Find a point C in ACB, a given segment of a circle, such that the straight line AC... | |
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... extremities of the base shall have the same ratio which the other sides of the triangle have to one... 
