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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
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The Geometrician: Containing Essays on Plane Geometry, and Trigonometry ...

Benjamin Donne - Geometry, Plane - 1775 - 159 pages
...other Sides, or thefe Side* produced, proportionally, (viz. BD : DA :: CE : EA, or AB : AD :: AC : AE.) And if the Sides, or the Sides produced, be cut proportionally, the Une DE, which joins the Points of Se8ion, ▀all be parallel to the remaining Side of the Iriangle,...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1806 - 311 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 bt parallel to the remaining side of the triangle. Let DE be...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - Trigonometry - 1806 - 518 pages
...be drawn parallel to one of the See N. 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. Let DE be...
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Pantologia. A new (cabinet) cyclopŠdia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...straight line be drawn parallel to one of the sides of a triangle, it shall cat 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 triangleProp. III....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 pages
...be drawn parallel to one of the See.N. 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1819 - 333 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 side of the triangle. Let DE be...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...line be drawn parallel to one of the sides of a triangle, it will tut the otlter sides, or the other sides produced, proportionally : And if the sides,...sides produced, be cut proportionally, the straight like which joins the points of section will be parallel to the remaining side of the triangle. Let...
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Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 272 pages
...drawn parallel to one of the sides BC, of a triangle ABC, 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. Join BE...
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Practical carpentry, joinery, and cabinet-making [by P. Nicholson

Peter Nicholson - 1826
...by drawing lines parallel to the third side of the triangle : or, according to the first principle; if a straight line be drawn parallel to one side of a triangle, this straight line will divide the triangle into two similar triangles ; therefore, if the triangle...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - Trigonometry - 1835 - 513 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 be...
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