 | Euclides - 1853 - 176 σελίδες
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION II. — THEOREM. If a straight line be drawn parallel to one of the sides of a triangle, it shaU cut tlie other sides, or these produced, proportionally ; and if the sides, or the sides produced,... | |
 | William Somerville Orr - 1854 - 534 σελίδες
...(DE) be drawn parallel to one of the sides (BC) 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 straight line which ioins the noints of section shall be parallel to the remaining... | |
 | John Playfair - 1855 - 334 σελίδες
...that have equal altitudes, are to one another as their bases. PROP. II. THEOR. 0 I] a straight lme 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 fides, or the sides... | |
 | Cambridge univ, exam. papers - 1856 - 252 σελίδες
...a given circle into segments, one of which shall contain an angle double of that in the other. 12. 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. MECHANICS AND HYDROSTATICS. FRIDAY, January 16, 1857. 9 to 12. FIRST... | |
 | War office - 1858 - 578 σελίδες
...the circle whose centre is the vertex of the isosceles triangle and radius one of its equal sides, 2. If a straight line be drawn parallel to one of the...the other sides, or those produced, proportionally. 3. Equiangular parallelograms are to each other in the ratio compounded of the ratio of their sides.... | |
 | Euclid - 1859 - 150 σελίδες
...ÎiTI ràç ro/iàç Iiriííuyfíívi/ íuoíía irapà rrjv \onri}v tarai rov Tfiyiâvov ir\tvpáv. If a straight line be drawn parallel to one of the sides of a triangle, it cuts t fie other two sides proportionally ; and if the two sides be cut proportionally, the straight... | |
 | Robert Potts - 1860 - 380 σελίδες
...construction be made as in the proposition, the demonstration will be the same. PROPOSITION 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,... | |
 | Euclides - 1860 - 288 σελίδες
...and triangles, having equal bases, are to one another as their altitudes. PROPOSITION II. THEOBEM. If a straight 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, or the sides produced, be cut proportionally,... | |
 | War office - 1861 - 260 σελίδες
...two straight lines shall be parallel. 8. Draw a tangent to a circle from a given point without it. 9. If a straight line be drawn parallel to one of the...the other sides or those produced proportionally. How must a line be drawn parallel to the base of a triangle, so as to be equal to half the base. 10.... | |
 | War office - 1861 - 714 σελίδες
...angle. VOLUNTARY PORTION. 1. Inscribe an equiangular and equilateral pentagon in a given circle. 2. 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 straight... | |
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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... 
