 If the vertical 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...  Sessional Papers - Side 171av Great Britain. Parliament. House of Commons - 1900Uten tilgangsbegrensning - Om denne boken
 | John Playfair - 1806 - 320 sider
...ratios are equal to one another, which may be inferred from 11. 5. PROP. III. THEOR. Book VI. IF the angle of a triangle be bisected by a straight line...which also cuts the base, the segments of the base will have the same ratio which the other sides of the triangle have to each other ; and if the segments... | |
 | Robert Simson - 1806 - 546 sider
...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 Mason Good - 1813 - 714 sider
...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 sider
...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... | |
 | Daniel Cresswell - 1819 - 486 sider
...FL, and it is manifest, that the segment CL is equal to the segment BK. PROP. LV. 64. THEOREM. If an angle of a triangle be bisected by a straight line, which also cuts the base, the rectangle, contained by the sides of the triangle, is equal to the rectangle contained by the segments... | |
 | John Playfair - 1819 - 354 sider
...angles by the straight line AD. Therefore, if the angle, &c. Q,. ED PROP. A. THEOR. If the exterior angle of a triangle be bisected by a straight line which also cuts the base produced ; the segments between the bisecting line and the extremities of the base have the same ratio... | |
 | John Playfair - 1819 - 350 sider
...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... | |
 | Peter Nicholson - 1825 - 1046 sider
...straight line, &c. QED PROP. III. THEOR. If the angle of a triangle be divided into tmo equal angles, by a straight line which also cuts the base ; the segments of the base shall have the tame ratio nhich the other sides of the triangle have to one another : And if the segments of the bate... | |
 | John Martin Frederick Wright - 1825 - 798 sider
...triangle and the three angles to construct it. PROPOSITIONS IN PLANE GEOMETRY. 1816. 1 . IF the exterior angle of a triangle be bisected by a straight line which also cuts the base produced, the segments between the bisecting line and the extremities of the base, have the same ratio... | |
 | Daniel Cresswell - 1825 - 616 sider
...FL, and it is manifest, that the segment CL is equal to the segment BK. PROP. LV. 64. THEOREM. If an angle of a triangle be bisected by a straight line, which also cutis the base, the rectangle, contained by the sidea of the triangle. is equal to the rectangle contained... | |
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