 | Euclides - 1845 - 546 pages
...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... | |
 | Euclides - 1846 - 292 pages
...have the same ratio which 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 another, the straight line, drawn from the vertex to the point of section, bisects the vertical angle. Let the... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...be bisected by a straight line which also cuts the base produced ; the segments between thebisecting line and the extremities of the base have the same ratio which the other sides of the triangles have to one another ; And if the segments of the base produced have the same ratio which... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...divided into two equal angles, by a straight line which cuts a side ; the segments of that side will have the same ratio which the other sides of the triangle have to each other. 55. The four triangles into which a trapezium is divided by its diameters, are proportionals.... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...divided into two equal angles, by a straight line which cuts a side; the segments of that side will have the same ratio which the other sides of the triangle have to each other. 55. The four triangles into which a trapezium is divided by its diameters, are proportionals.... | |
 | Euclides - 1848 - 52 pages
...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 triangle... | |
 | Education - 1850 - 488 pages
...same ratio which 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 have to one another; the straight line drawn from the vertex to the point of section, divides the vertical angle into two... | |
 | Francis James Jameson - Mathematics - 1851 - 144 pages
...triangle be 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, (vi. 3.) (JB). If A, B, C, be three points in a straight line, and D a point at which AB and BC subtend... | |
 | Harvey Goodwin - Mathematics - 1851 - 196 pages
...triangle be 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 - Geometry - 1853 - 176 pages
...shall have the 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... | |
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... line and the extremities of the base have the same ratio which the other sides of the triangle have to one... 
