| Euclid, Isaac Todhunter - 1867 - Liczba stron: 400
...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 - Liczba stron: 141
...; 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 - Liczba stron: 410
...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.) - 1869 - Liczba stron: 178
...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
...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
...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 - Liczba stron: 349
...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
...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
...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 - 1876
...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... | |
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