 | Peter Nicholson - 1856 - 518 σελίδες
...by drawing lines parallel to the third side of the triangle : or, according to the first principleif 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... | |
 | Thomas Stantial - 1859 - 352 σελίδες
...triangles the square upon the hypothenuse is equal to the squares upon the other two sides. B. If a line is drawn parallel to one side of a triangle, it shall cut the other sides, or the sides produced, proportionally. 6. Construct a trigonometrical figure to an an§jle A (in arc AB),... | |
 | Euclides - 1860 - 288 σελίδες
...line be drawn parallel to one of the sides of 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 be parallel to the remaining side of the triangle. Given DE... | |
 | War office - 1861 - 714 σελίδες
...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. 3. If two... | |
 | Euclid, Isaac Todhunter - 1867 - 424 σελίδες
...will be the same. PROPOSITION 2. THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those...produced, be cut proportionally, the straight line ichich joins the points of section, shall be parallel to the remaining side of the triangle. Let DE... | |
 | Euclid, Isaac Todhunter - 1867 - 426 σελίδες
...will be the same. PROPOSITION 2. THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those...produced, be cut proportionally, the straight line which joins the points <\f section, shall be parallel to the remaining side of the triangle. Let DE... | |
 | Edinburgh univ - 1868 - 336 σελίδες
...line be drawn parallel to one of the sides of a triangle, it will cut the other sideSi 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. What definition... | |
 | Robert Potts - 1876 - 446 σελίδες
...square. 12. If a straight line be parallel to the 'base of a triangle it will cut the sides, or the sides produced, proportionally, and if the sides,...produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the base. 13, To find a mean proportional between... | |
 | University of Oxford - 1879 - 414 σελίδες
...at the base double of the third angle. 6. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other sides, or those...produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle. 7. When... | |
 | Isaac Sharpless - 1879 - 282 σελίδες
...Proposition 2. Theorem.—If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other sides, or those sides produced proportionally; and if the sides of a triangle, or the sides produced, be ad proportionally, the straight line which joins the points... | |
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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... 
