| 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
...into two equal angles, by a straight line which also cuts the base ; the segments of the base shall have the 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... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...bisecting 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 the ether sides of the triangles have, the straight line, drawn from the vertex to the point of section,... | |
| Education - 1850 - 488 pages
...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... | |
| Francis James Jameson - Mathematics - 1851 - 144 pages
...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... | |
| Harvey Goodwin - Mathematics - 1851 - 196 pages
...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... | |
| Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...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 divides the vertical... | |
| Euclides - Geometry - 1853 - 178 pages
...divided into two equal angles by a straight line which also cuts the base, the segments of the base 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... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...triangle be bisected by a straight line, which also cuts the base ; the segments of the base shall have the same 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... | |
| Euclides - 1855 - 230 pages
...another, as the other sides of the triangle (AB, AC) have. [2.] And if the segments (BD, DC) of the lose produced, have the same ratio which the other sides of the triangle (AB, AC) have, the straight line (AD) drawn from the vertex to the point of section bisects the exterior... | |
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