 | Harvey Goodwin - 1851 - 196 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 - 176 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... | |
 | Royal Military Academy, Woolwich - 1853 - 400 pagina’s
...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, the straight line drawn from the vertex to the point of section divides the outward angle of the triangle... | |
 | Great Britain. Committee on Education - 1855 - 976 pagina’s
...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 - 334 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 - 230 pagina’s
...(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 - 252 pagina’s
...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 - 200 pagina’s
...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 - 346 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 - 578 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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If the angle of a triangle be bisected by a straight line which also cuts the base ; the segments of the base shall have the... 
