| Isaac Sharpless - 1879 - 266 pagina’s
...of a triangle be bisected by a straight line which also cuts the base, the segments of the base will **have the same ratio, which the other sides of the triangle have to** each other. Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD, which... | |
| Sandhurst roy. military coll - 1880
...: the square described on a side is equal to three times the square described upon the radius. . 7. **If the vertical angle of a triangle be bisected by...the other sides of the triangle have to one another** ; and conversely. 8. What are the units of angular measure commonly employed ? Find the circular measure... | |
| Isaac Todhunter - 1880 - 400 pagina’s
...39. therefore DE is parallel to BC. Wherefore, if a straight line &c. QEI). PROPOSITION 3. THEOREM. **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... | |
| French Ensor Chadwick - 1880 - 207 pagina’s
...in a circle are together equal to two right angles. 4. To describe a circle about a given square. 5. **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... | |
| James Russell Soley - 1880 - 335 pagina’s
...circle in D, E, F, respectively, show that the arcs Efr\ FD, DE arc bisected in the points A, B, C. 5. **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... | |
| Oxford univ, local exams - 1880
...Describe a circle about a given triangle. 10. If an angle of a triangle is divided into two equal angles **by a straight line which also cuts the base ; the...the other sides of the triangle have to one another.** The triangle ABC is right-angled at C. The internal and external bisectors of the angle BAG meet the... | |
| bombay thacker - 1880
...and perpendicular to the opposite side. 7. If the vertical angle of a triangle be bisected by a 15 **straight line which also cuts the base, the segments...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 in BC produced... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880
...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 and exterior angles... | |
| 1882
...equal to the diameter of the circle. 8. 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 of the triangle... | |
| Euclid, Isaac Todhunter - 1883 - 400 pagina’s
...39. therefore DE is parallel to BC. "Wherefore, if a straight line &c. QED PROPOSITION 3. THEOREM. **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... | |
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