 | Euclid - 1835 - 540 pages
...drawn parallel to one of the See N. sides of a triangle, it will cut the other sides, or the other sides produced, proportionally : And if the sides,...produced, be cut proportionally, the straight line which joins the points of section will be parallel to the remaining side of the triangle. • Let DE... | |
 | Mathematics - 1836 - 488 pages
...line be drawn parallel to one of the sides of a triangle, it will cut the other sides, or the other sides produced, proportionally : And if the sides,...produced, be cut proportionally, the straight line which joins the points of section will be parallel to the remaining sides of the triangle. 111. If... | |
 | John Playfair - Geometry - 1836 - 148 pages
...straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or these produced, proportionally ; and if the sides, or the...produced be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle. Let DE be... | |
 | Andrew Bell, Robert Simson - Euclid's Elements - 1837 - 290 pages
...their altitudes. PROPOSITION II. THEOREM. 133 a triangle, it shall cut the other sides, or the other sides produced, proportionally; and if the sides,...produced, be cut proportionally, the straight line which joins the points of section shall he parallel to the remaining side of the triangle. Let DE be... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally : and if the sides, or the...produced, be cut proportionally, the straight line' which joins the points of section shall be parallel to the remaining side of the triangle." This enunciation... | |
 | William Whewell - 1837 - 226 pages
...straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally ; and if the sides, or the sides produced, be cut propertionally, the straight line which joins the points of section shall be parallel to the remaining... | |
 | Euclides - 1838 - 264 pages
...straight line be drawn parallel to one of the sides of « triangle, it shall cut the other sides, or these produced, proportionally : and if the sides, or the...produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle, LetDE be... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those produced, proportionally ; and if the sides, or the...produced, be cut proportionally, the straight line which joins the points of section shal 1 be parallel to the remaining side of the triangle.* Let DE... | |
 | Euclides - 1840 - 82 pages
...line be drawn parallel to one of the sides of a triangle, it will cut the other sides, or the other sides produced, proportionally: and if the sides,...produced, be cut proportionally, the straight line which joins the points of section, will be parallel to the remaining side of the triangle. PROP. III.... | |
 | Euclides - Geometry - 1841 - 378 pages
...parallel to one of the sides Q * 37. 1. . 1.6. of a triangle, it shall cut the other sides, or these produced, proportionally. And if the sides, or the...produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle. Let DE be... | |
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If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those sides produced, proportionally... 
