 | Euclid, Robert Simson - Geometry - 1821 - 514 pages
...(39. 1.) therefore DE is parallel to BC. Wherefore, if a straight line, &c. QED PROP. III. THEOR. IP 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 Martin Frederick Wright - Mathematics - 1825 - 798 pages
...also cuts the base produced, the segments between the bisecting line and the extremities of the base, have the same ratio which the other sides of the triangle have to one another. Shew that the converse is also true. 2. Equiangular parallelograms have to one another the rat» which... | |
 | 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... | |
 | George Lees - 1826 - 276 pages
...of a triangle ABC, be bisected by a straight line AD, which also cuts the base, the segments BD, DC of the base shall have the same ratio, which the other sides BA, AC of the triangle have to one another : And if the segments of the base have the same ratio which... | |
 | Euclid - 1826 - 234 pages
...THEOREM. If the angle of a triangle be bisected, and the right line cutlina the angle cuts the base also ; the segments of the base shall have the same ratio which the remaining sides of the triangle have ; and if the segments of the base have the same ratio which the... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...Q . ED PROP. III. THEOR. If the angle of a triangle be hiseeted by a straight line whieh also euts the base ; the segments of the base shall have the same ratio whieh the other sides of the triangle have to one another : And if the segments of the base have the... | |
 | Euclides - 1826 - 226 pages
...THEOREM. If the angle of a triangle be bisected, and the right line cutting the angle cuts the base also ; the segments of the base shall have the same ratio which the remaining sides of the triangle have; and if the segments of the base have the same ratio which the... | |
 | John Martin F. Wright - 1827 - 632 pages
...also cuts the base produced, the segments between the bisecting line and the extremities of the base, have the same ratio which the other sides of the triangle have to one another. Shew that the converse is also true. 2. Equiangular parallelograms have to one another the ratio which... | |
 | John Martin Frederick Wright - 1827 - 344 pages
...also cuts the base produced, the segments between the bisecting line and the extremities of the base, have the same ratio which the other sides of the triangle have to one another. Shew that the converse is also true. 2. Equiangular parallelograms have to one another the ratio which... | |
 | 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... | |
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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... 
