| Harvey Goodwin - 1851 - 173 pagina’s
...divided into two equal angles by a straight line which also cuts the base, the segments of the base **have the same ratio which the other sides of the triangle have to one another.** If A, B, C be three points in a straight line, and D a point at which AB and EC subtend equal angles,... | |
| Euclides - 1853 - 147 pagina’s
...same ratio which the other sides of the triangle have to one another ; and if the .ments of the base **have the same ratio which the other sides of the triangle have to one** anotlier, the straight line drawn from the vertex to tlie paint of section dividen tJie vertical angle... | |
| Great Britain. Committee on Education - 1855
...emancipation ? HIGHER MATHEMATICS.— No. I. (Three Hours allowed for this Paper.) Section 1. 1. If the **angle of a triangle be bisected by a straight line,...ratio which the other sides of the triangle have.** 2. If two triangles have one angle of the one equal to one angh of the other, and the sides about the... | |
| John Playfair - 1855 - 318 pagina’s
...ratio which the other sides of the triangle have to one another; And if the segments of the base lume **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, bisects the vertical angle. Let the... | |
| Euclides - 1855
...(ABC) le bisected by a straight line (AD) which oho cuts the base, the segments of the base (BD, DC) **shall have the same ratio which the other sides of the triangle** (AB, AC) have to one another. [2.] And if a straight line (AD) drawn from any angle of a triangle (ABC)... | |
| Cambridge univ, exam. papers - 1856
...together equal to four right angles. 12. 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.** SECOND DIVISION.— (B.) 1. To bisect a given finite straight line, that is, to divide it into two... | |
| Cambridge univ, exam. papers - 1856
...If the angle of a triangle be divided into two equal angles by a straight line which also cuts ihe **base; the segments of the base shall have the same...the other sides of the triangle have to one another.** SECOND DIVISION (B.) 1. To draw a straight line at right angles to a given straight line, from a given... | |
| John Playfair - 1856 - 318 pagina’s
...which the other sides of the triangle have to one another ; And if the segments of the base have tha **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, bisects the vertical angle. Let the... | |
| War office - 1858 - 12 pagina’s
...VOLUNTARY PORTION. First Paper. 1. If the vertical 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.** If, on the same side of a point 0 in the same straight line, points A, C, B be taken such, that OA... | |
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