 | Robert Johnston (F.R.G.S.) - 1869 - 196 sider
...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. 7. Equiangular parallelograms have to one another the ratio which is compounded of... | |
 | Cambridge univ, exam. papers - 1870 - 272 sider
...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; and if the segments of the base have the same ratio which the other sides of the triangle... | |
 | Euclides, James Hamblin Smith - 1872 - 376 sider
...construction for determin. :-T a point D in CD, such that AD is to DB as AC is to CB. And Conversely, 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 must bisect the exterior... | |
 | Braithwaite Arnett - 1874 - 130 sider
...of 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. 7. Similar triangles are to one another in the duplicate ratio of their homologous... | |
 | Euclides - 1874 - 342 sider
...into two equal angles, by a straight line which also cute 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 whick the other sides... | |
 | Euclid - 1876 - 240 sider
...to one another, as the other sides of the triangle (AB, AC) have. [2.] And if the segments (BD, DC) of the base produced, have the same ratio which the other sides of the triangle (AB, AC) have, the straight line (AD) drawn from the vertex to the point of section bisects the exterior... | |
 | Robert Potts - 1876 - 446 sider
...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. 4. In a right-angled triangle, if a perpendicular be drawn from the right angle to... | |
 | Education Department,London - 1876 - 1010 sider
...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. If all the angles of a triangle be thus divided, the continued product of three alternate... | |
 | D. Tierney - 1877 - 126 sider
...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. If ABC be the triangle, A the vertical angle, BE, CE the segments of the base, and... | |
 | Samuel H. Winter - 1877 - 452 sider
...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. By means of this proposition prove that the three straight lines, which bisect the... | |
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... line and the extremities of the base have the same ratio which the other sides of the triangle have to one... 
