 | John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...perimeter of a triangle and the three angles to construct it. PROPOSITIONS IN PLANE GEOMETRY. 1816. 1 . IF the exterior angle of a triangle be bisected...Equiangular parallelograms have to one another the rat» which is compounded of the ratios of their sides. 3. The rectangle contained by the diagonals... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 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... | |
 | Robert Simson - Trigonometry - 1827 - 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 - Geometry - 1829 - 210 pages
...If one side of a triangle be produced, and the exterior angle be bisected by a straight line which cuts the base produced, the segments between the bisecting...extremities of the base have the same ratio which the adjacent sides of the triangle have to each other; and if the segments of the base produced have the... | |
 | John Playfair - Euclid's Elements - 1832 - 358 pages
...bisected by a straight line which also cuts the base; the segments of the base shall have the satne ratio which the other sides of the triangle have to one another : Jind if the segments of the buse have the same ratio which the other sides of the triangle have to... | |
 | John Playfair - Euclid's Elements - 1833 - 346 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... | |
 | John Playfair - Euclid's Elements - 1835 - 336 pages
...CAD-. Therefore the angle BAG is cut into two equal angles by the straight line AD. PROP. A. THEOR. %f the exterior angle of a triangle be bisected by a...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 - 1835 - 540 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... | |
 | Mathematics - 1836 - 488 pages
...another, the straight line drawn from the vertex to the point of section, bisects the vertical angle. A. 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 the... | |
 | 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... | |
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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... 
