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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 sides produced, proportionally... "
Euclid's Elements: Or, Second Lessons in Geometry,in the Order of Simson's ... - Σελίδα 87
των Dennis M'Curdy - 1846 - 138 σελίδες
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University of St. Andrews - 1898 - 610 σελίδες
...construction that the sides of the triangle may be made parallel to those of the given triangle. 11. If a straight line be drawn parallel to one side of a triangle it shall cut the other sides proportionally. If in the base BC of an equilateral triangle a point D be taken and AD joined, if also...

Parliamentary Papers, Τόμος 30

Great Britain. Parliament. House of Commons - 1853 - 520 σελίδες
...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 point of section shall be parallel to the remaining sides of the triangle. Hence shew...

Parliamentary Papers, Τόμος 43

Great Britain. Parliament. House of Commons - 1863 - 616 σελίδες
...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...produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle. 10. In right...

The Bombay University Calendar

University of Bombay - 1903 - 1170 σελίδες
...arc AB, and PC and OB meet in Q ; prove that AOCQ is a rhombus equal in area to the ligure A OBP. 6. If a straight line be drawn parallel to one side of a triangle, it shall 12 c'it the other sides, or those sides produced, proportionally. Deduce the theorem known as ' Componendo.'...




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