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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

## General Report on Public Instruction in the Bengal Presidency

Education - 1852
...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 sides of a triangle, it shall cut the other sides or those produced proportionally, and if the sides or the sides produced...

## The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

...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,...

## The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 176 pages
...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,...

## Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 336 pages
...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,...the other sides produced, proportionally: And if the fides, or the sides produced, be cut proportionally, the straight line which joms the points of section...

## Cambridge examination papers: a suppl. to the University calendar, 1856-59

...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...

## Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pages
...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 sides of a triangle, it shall cut the other sides, or those produced, proportionally. 3. Equiangular parallelograms are to...

## Manual of Euclid: books iv., v., vi., by J.A. Galbraith and S. Haughton

Euclides - 1859
...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...

## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...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...