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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...
The figures of Euclid with the enunciations, as printed in Euclid's Elements ... - Page 54
by Euclides - 1840

Parliamentary Papers, Volume 30

Great Britain. Parliament. House of Commons - Bills, Legislative - 1853 - 520 pages
...quadrilateral figure which can be inscribed in a circle are together equal lo two right angles. (4.) 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...

The Elements of Plane Geometry

Euclid - 1845 - 328 pages
...divided internally at C and externally at D in the ratio 7:3; find the length of CD. 189. PROP. 1. If a straight line be drawn parallel to one of the sides of a triangle, it cuts the other sides (or those sides produced) proportionally; and, conversely, if a straight line...

Calendar

University of St. Andrews - 1900 - 670 pages
...and two of its opposite sides AB and CD are parallel ; show that AC is equal to BD. 11. Show that, if a straight line be drawn parallel to one of the sides of a triangle, it cuts the other sides, or those sides produced, proportionally. Through a point 0 in the base BC of...

Parliamentary Papers, Volume 43

Great Britain. Parliament. House of Commons - Great Britain - 1863 - 616 pages
...Compare the sides of an equilateral triangle, and an equilateral hexagon inscribed in a circle. 9. 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,...

Calendar

University of Cambridge - 1850 - 648 pages
...circle, shew iha: their intersections will form a hexagon, equilateral but not generally equiangular. 5. 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 tbe sides, or the sides produced,...

Pass school, group A (-D).

Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pages
...Describe an isosceles triangle, having each of the angles 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 sides produced, proportionally; and if the sides, or the sides...

Examination,Midsummer,1879

Education Department - 1879 - 1130 pages
...the area of the hexagon is double the area of an equilateral triangle inscribed in the circle. 10. 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. Three circles whose radii are as 1:2:4...

Parliamentary Papers, Volume 16

Great Britain. Parliament. House of Commons - Great Britain - 1874 - 814 pages
...of the square inscribed in any circle is half that of the square described about the same circle. 6. If a straight line be drawn parallel to one of the sides of a triangle, CAVALBT AN it shall cut the other sides, or these produced, proportionally. IHTANTRY. 7. Equal parallelograms,...