 | John Playfair - Geometry - 1829 - 210 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 - 518 pages
...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 - 540 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 - 544 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 - 148 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 - 488 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 - 1837 - 226 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 - 290 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... | |
 | Robert Simson - Geometry - 1838 - 434 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 - 264 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 sides of « triangle, it shall cut the other sides, or these produced, proportionally : and if the sides, or... | |
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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 produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section... 
