 | Benjamin Donne - 1775 - 338 pages
...Iriangle have to one another ; viz. as BD : DC :: AB : AC. And if the Segments of the Bafe have the fame Ratio which the other Sides of the Triangle have to one another, the Line AD, drawn from the Vertex to the Point of cutting^ will divide the ¿ ВАС of the Triangle... | |
 | Robert Simson - 1806 - 546 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 - 1806 - 320 pages
...which the other sides of the triangle have to each other ; 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... | |
 | Euclid - 1810 - 554 pages
...therefore DE is parallel to BC. Wherefore, if a straight line, &c. QED PROP. III. THEOR. See Note. IF the angle of a triangle be divided into two equal...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,... | |
 | John Mason Good - 1813 - 714 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 tri.uigle... | |
 | Euclides - 1816 - 588 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 - 1819 - 354 pages
...BC. Wherefore, if a straight line, &c. Q, ED PROP. III. THEOR. If the angle of a triangle be bisected by a straight line which also cuts the base ; the...other sides of the triangle have to one another : And if the segments of the base have the same ratio -sehich the other sides of the triangle have to one... | |
 | Daniel Cresswell - 1819 - 446 pages
...also cuts the base produced, the segments between the dividing line and the extremities of the base have the same ratio, 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,... | |
 | Daniel Cresswell - 1819 - 486 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 - 1819 - 350 pages
...which the other sides of the triangles have to one another : Jlnd 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... | |
| |
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 same ratio which the other sides of the triangle have to one another... 
