| 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... | |
| |