| Eldred John Brooksmith - 1901
...the circumference of a circle whose centre is O. 9. Inscribe an equilateral and equiangular pentagon **in a given circle. 10. If the vertical angle of a...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... | |
| University of Sydney - 1902
...given rectilineal angle. 5. Describe an equilateral and equiangular pentagon about a given circle. 6. **If the vertical angle of a triangle be bisected by...the other sides of the triangle have to one another** ; and, conversely, if the segments of the base have the same ratio as the sides of the triangle, the... | |
| University of Calcutta - 1908
...regular pentagon in a circle. 5 11. If the vertical angle of a triangle be bisected by a straight 4 **line which also cuts the base, the segments of the...the other sides of the triangle have to one another.** ABC is a triangle right-angled at A ; AX, AY are equally 5 inclined to AB, and meet BC or BC produced... | |
| James Clerk Maxwell - 1990 - 748 pagina’s
...is within the circle. Therefore draw (8) Book VI, Prop. Ill of Euclid's Elements : (Theorem) 'If the **angle of a triangle be bisected by a straight line...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... | |
| 1900
...college, and had himself begun to teach this very proposition to others. Let us recall this proposition. " **If the vertical angle of a triangle be bisected by...other sides of the triangle have to one another."** " In proving this proposition," he continued, " 1 used invariably to draw a figure like this, in Fig.... | |
| Oxford univ, exam. papers, 2nd publ. exam
...multiple of another ? Define proportion, and explain the terms — permntando, componendo, ex tpq 7. **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... | |
| Great Britain. Parliament. House of Commons - 1863
...same side of the given line. 10. If 10. 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.** 11. If a solid angle be contained by three plane angles, these three angles are together less than... | |
| 1870
...where the inscribed circle touches it. 2. If the base of a triangle be divided into two segments which **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 vertical angle. 0.... | |
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