 | John Playfair - Geometry - 1836 - 148 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, divides the vertical angle into two... | |
 | John Playfair - Euclid's Elements - 1837 - 332 pages
...CAD : Therefore the angle BAG is cut into two equal angles by the straight line AD. PROP. A. THEOR. If the exterior angle of a triangle be bisected by...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... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...one another, as the other sides of the triangle have : and (2.) 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 bisects the exterior angle of the triangle.... | |
 | Andrew Bell - Euclid's Elements - 1837 - 290 pages
...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 bisects the exterior angle of the triangle.... | |
 | Euclides - Geometry - 1841 - 378 pages
...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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...be bisected by a straight line which also outs 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 the... | |
 | Euclides - 1842 - 316 pages
...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... | |
 | John Playfair - Euclid's Elements - 1844 - 338 pages
...a straight line which also cuts the base produced; the segments between the bisecting line and tlte 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... | |
 | Education - 1844 - 688 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 one to another ; and if the segments have the same ratio which the sides have, the straight line drawn... | |
 | Scottish school-book assoc - 1845 - 444 pages
...segments BD, DC, which have the same ratio as the other sides, BA, AC ; and if the seg- B DC incuts of the base have the same ratio ' which the other sides of the triangle have to each other, the right line drawn from the vertex to the point of section divides the 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... 
