 | Euclid, John Playfair - 1846 - 334 σελίδες
...and parallelograms that have equal altitudes, are to one another as their bases. 123 PROP. II. THEOR. 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... | |
 | Euclides - 1846 - 292 σελίδες
...THEOB. If a straight line be parallel to the base of a triangle, it shall cut the sides, or the sides produced, proportionally : and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the base.... | |
 | Dennis M'Curdy - 1846 - 166 σελίδες
...straight line be drawn parallel to one side of a triangle, it shall cut the other sides, or those sides produced proportionally : and if the sides, or the sides produced, be cut proportionally, the straight line joining the sectional points, shall be parallel to the third side... | |
 | Euclides - 1848 - 52 σελίδες
...and parallelograms that have equal altitudes, are one to another as their bases. PROP. II. THEOREM* 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 conversely, if the sides, or the sides produced, be cut proportionally,... | |
 | Great Britain. Committee on Education - 1850 - 790 σελίδες
...contained by the segments of the other. Section 3. 1. To describe a circle about a given triangle. 2. If a straight line be drawn parallel to one of the sides of a triangle, it shall cut the other two sides of the triangle proportionally ; and conversely if two sides of a triangle be cut proportionally,... | |
 | Janet Taylor - 1851 - 674 σελίδες
...proportional, viz : [Eu. vi. 4.] CA : AD : : CD : DE AC : CB : : DC : CB CB : BA : : CE : ED Hence if a straight line be drawn parallel to one of the sides of a plane triangle, it will cut the other two sides proportionally, [Eu. vi. 2.] or Theorem D, page 26.... | |
 | 1852 - 478 σελίδες
...quadrilateral figure which can be inscribed in a circle are together equal to two right angles. 4. If a straight line be drawn parallel to one of the...proportionally, and if the sides or the sides produced be cut proportionally, the straight line which joins the point of section shall be parallel to the remaining... | |
 | Bengal council of educ - 1852 - 348 σελίδες
...quadrilateral figure which can be inscribed in a circle are together equal to two right angles. (4.) If a straight line be drawn parallel to one of the...proportionally, and if the sides or the sides produced be cut proportionally, the straight line which joins the point of section shall be parallel to the remaining... | |
 | Charles Astor Bristed - 1852 - 470 σελίδες
...a right angle : and the angle in a segment less than a semicircle is greater than a right angle. 6. If a straight line be drawn parallel to one of the sides of a triangle, it will cut the other sides, or these produced, proportionally ; and if the sides, or these produced,... | |
 | Royal Military Academy, Woolwich - 1853 - 400 σελίδες
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION II. TIIEOR. 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... | |
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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... 
