 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...extremities of the base shall have the tame ratio which the other sides of the triangle have to one another; an'd 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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 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... | |
 | Euclid - 1868 - 138 pages
...; and conversely, if the segments of the base have the same ratio to one another which the adjacent sides of the triangle have, the straight line drawn...from the vertex to the point of section bisects the vertical angle. PART I. Statement. — Let ABC be the triangle, and let the angle BAС be bisected... | |
 | Robert Potts - 1868 - 434 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: and conversely, if the segments of the base produced have the same tatio which the... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 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. 7. Equiangular parallelograms have to one another the ratio which is compounded of... | |
 | General Medical Council (Great Britain) - 1869 - 402 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... | |
 | Cambridge univ, exam. papers - 1870 - 272 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; and if the segments of the base have the same ratio which the other sides of the triangle... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...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... | |
 | Euclides - 1874 - 342 pages
...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... | |
 | Braithwaite Arnett - 1874 - 130 pages
...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... | |
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... extremities of the base shall have the same ratio which the other sides of the triangle have to one... 
