| 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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