| Robert Potts - 1864
...other sides of the triangle have to one another : and converselg, if the segments of the base produced **have the same ratio which the other sides of the triangle have** ; the straight line drawn from the vertex to the point of section divides the outward angle of the... | |
| Alexander Kennedy Isbister - 1865
...other sides of the triangle have to one another ; and conversely, if the segments of the base produced **have the same ratio which the other sides of the triangle have** ; the straight line drawn from the vertex to the point of section divides the outward angle of the... | |
| 1866
...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 the ratios of their... | |
| Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...a straight line &c. QED PROPOSITION 3. THEOREM. If the vertical angle of a triangle be bisected bi/ **a straight line which also cuts the base, the segments...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... | |
| Euclid, Isaac Todhunter - 1867 - 400 pagina’s
...which also cuts the base produced, the segments between the dividing straight line and the 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... | |
| Robert Potts - 1868 - 410 pagina’s
...line, &c. QED PROPOSITION III THEOREM. If the angle of a triangle be divided into ttto equal angles, **by a straight line which also cuts the base ; the...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 of the triangle... | |
| General Medical Council (Great Britain) - 1869
...Inscribe a circle in a given triangle. 4. If the angle of a triangle be divided into two equal angles **by a straight line which also cuts the base, the segments...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 have to one... | |
| Robert Johnston (F.R.G.S.) - 1869 - 178 pagina’s
...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 the ratios of their... | |
| 1870
...other, each to each, prove that the third side of the one is equal to the third side of the other. 4. **If the vertical angle of a triangle be bisected by...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... | |
| Euclides, James Hamblin Smith - 1872 - 349 pagina’s
...a triangle be bisected by a straight line, which also cuts the base, the segments of the base must **have the same ratio, which the other sides of the triangle have to one another.** X Let / BAC of A ABC be bisected by the st. line AD, .which meets the base in D. Then must BD be to... | |
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