 | Benjamin Donne - Geometry, Plane - 1775 - 159 pages
...other Sides, or thefe Side* produced, proportionally, (viz. BD : DA :: CE : EA, or AB : AD :: AC : AE.) And if the Sides, or the Sides produced, be cut proportionally, the Une DE, which joins the Points of Se8ion, ßall be parallel to the remaining Side of the Iriangle,... | |
 | John Playfair - Euclid's Elements - 1806 - 320 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 bt parallel to the remaining side of the triangle. Let DE be... | |
 | Robert Simson - Trigonometry - 1806 - 518 pages
...be drawn parallel to one of the See N. 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. Let DE be... | |
 | John Mason Good - 1813 - 722 pages
...straight line be drawn parallel to one of the sides of a triangle, it shall cat 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 triangleProp. III.... | |
 | Euclides - 1816 - 528 pages
...be drawn parallel to one of the See.N. 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... | |
 | Euclid, John Playfair - Circle-squaring - 1819 - 348 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. Let DE be... | |
 | John Playfair - 1819 - 317 pages
...line be drawn parallel to one of the sides of a triangle, it will tut the otlter sides, or the other sides produced, proportionally : And if the sides,...sides produced, be cut proportionally, the straight like which joins the points of section will be parallel to the remaining side of the triangle. Let... | |
 | George Lees - 1826 - 266 pages
...drawn parallel to one of the sides BC, of a triangle ABC, 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. Join BE... | |
 | Peter Nicholson - 1826 - 382 pages
...by drawing lines parallel to the third side of the triangle : or, according to the first principle; if a straight line be drawn parallel to one side of a triangle, this straight line will divide the triangle into two similar triangles ; therefore, if the triangle... | |
 | 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... | |
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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... 
