 | Education Department - 1879 - 1118 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...the other sides, or those produced, proportionally. Three circles whose radii are as 1:2:4 are arranged with their centres in the same straight line so... | |
 | 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...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... | |
 | 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, be cut proportionally, the... | |
 | 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, be cut proportionally, the... | |
 | Peter M. Engelfriet - Mathematics - 1998 - 516 pages
...abbreviation of "triangle". 2. = ft j& ff « - !• if ¥ ff » BU ft » ft mma Ju & & m &$ = Heath If a straight line be drawn parallel to one of the sides of a triangle, it will cut the sides of the triangle proportionally; and, if the sides of the triangle be cut proportionally,... | |
 | Euclid - 1845 - 336 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... | |
 | 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... | |
 | Euclid - 452 pages
...German text-books adopt the less rigorous method of appealing to the theory of limits. PROPOSITION 2. If a straight line be drawn parallel to one of the sides of a triangle, it will cut the sides of the triangle proportionally ; and, if the sides of the triangle be cut proportionally,... | |
 | 1874 - 748 pages
...it Ш the original triangle is equal to a right angle. 5. Describe a circle about a given square. 6. If a straight line be drawn parallel to one of the sides of a triangle, CAVALBT ARD it shall cut the other sides, or these produced, proportionally. INPAMTRT. 7. Equal parallelograms,... | |
 | University of St. Andrews - 1896 - 610 pages
...the weight supported is 17 Ib. 12. To find the position of the centre of gravity of a plane triangle. If a straight line be drawn parallel to one of the sides of a triangle so as to cut off one-fourth of its area, find the centre of gravity of the quadrilateral remaining.... | |
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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... 
