| John Playfair - Geometry - 1829 - 186 pages
...1), 2ACH : 2ADL : : HC : DL (Proper. 30). Therefore, triangles &c. QED ED. PROPOSITION II. THEOREM. **If a straight line be drawn parallel to one of the sides of a triangle it** will cut the other sides proportionally. Let DK be drawn parallel to BC1, one of the sides of the triangle... | |
| Euclides - 1834
...made aq in the proposition, the demonstration will be the same. PROPOSITION II. ^ See N. THEOR. — **If a 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 tides, or the sides produced, be cut proportionally, the... | |
| Euclid - 1835 - 513 pages
...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, or the...the straight line which joins the points of section** will be parallel to the remaining side of the triangle. • Let DE be drawn parallel to BC, one of... | |
| Robert Simson - Trigonometry - 1835 - 513 pages
...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, or the...the straight line which joins the points of section** will be parallel to the remaining side of the triangle. Let DE be drawn parallel to BC, one of the... | |
| John Playfair - Geometry - 1836 - 114 pages
...altitude, therefore triangles of equal altitude are to one another as their bases. PROP. III. THEOR. \ **If a 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 sides produced be cut proportionally, the... | |
| Mathematics - 1836 - 472 pages
...that triangles and parallelograms that have equal al. titudes, are to one another as their bases. II. **If a straight 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, or the sides... | |
| William Whewell - Mechanics - 1837 - 182 pages
...i. Triangles and parallelograms of the same altitude are to one another as their bases. *PROP. ii. **If a straight line be drawn parallel to one of the...; 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... | |
| Andrew Bell - Euclid's Elements - 1837 - 240 pages
...altitudes. PROPOSITION II. THEOREM. 133 a triangle, it shall cut the other sides, or the other sides **produced, proportionally; and if the sides, or the...straight line which joins the points of section shall** he parallel to the remaining side of the triangle. Let DE be drawn parallel to BC, one of the sides... | |
| Euclid, Robert Simson - Geometry - 1838 - 416 pages
...same construction be made as in the proposition, the demonstration will be the same. PROP. II. THEOR. **IF a straight line be drawn parallel to one of the...the straight line which joins the points of section** shal 1 be parallel to the remaining side of the triangle.* Let DE be drawn parallel to BC, one of the... | |
| Euclides - 1838
...same construction be made as in the proposition, the demonstration will be the same. PROP. II. THEOR. **If a 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... | |
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