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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 ... - Page 87
by Dennis M'Curdy - 1846 - 138 pages

## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 pages
...drawn parallel to one of the See N. sides of a triangle, it will cut the other sides, or the other sides produced, proportionally : And if the sides,...produced, be cut proportionally, the straight line which joins the points of section will be parallel to the remaining side of the triangle. • Let DE...

## The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

Mathematics - 1836 - 488 pages
...line 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 sides,...produced, be cut proportionally, the straight line which joins the points of section will be parallel to the remaining sides of the triangle. 111. If...

## The Element of Geometry

John Playfair - Geometry - 1836 - 148 pages
...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. Let DE be...

## Elements of Plane Geometry According to Euclid

Andrew Bell, Robert Simson - Euclid's Elements - 1837 - 290 pages
...their altitudes. PROPOSITION II. THEOREM. 133 a triangle, it shall cut the other sides, or the other sides produced, proportionally; and if the sides,...produced, be cut proportionally, the straight line which joins the points of section shall he parallel to the remaining side of the triangle. Let DE be...

## The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1837 - 410 pages
...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...produced, be cut proportionally, the straight line' which joins the points of section shall be parallel to the remaining side of the triangle." This enunciation...

## The mechanical Euclid, containing the elements of mechanics and hydrostatics

William Whewell - 1837 - 226 pages
...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 propertionally, the straight line which joins the points of section shall be parallel to the remaining...

## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 pages
...straight line be drawn parallel to one of the sides of « 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, LetDE be...

## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Geometry - 1838 - 434 pages
...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...produced, be cut proportionally, the straight line which joins the points of section shal 1 be parallel to the remaining side of the triangle.* Let DE...