| Peter Nicholson - Cabinetwork - 1856 - 518 pages
...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 - Examinations - 1859 - 352 pages
...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 pages
...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 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. 3. If two... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...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... | |
| Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 pages
...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 - Geometry - 1876 - 446 pages
...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 - Greek language - 1879 - 414 pages
...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 - Geometry - 1879 - 282 pages
...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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