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

John Playfair - Euclid's Elements - 1842 - 332 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...
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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 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...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - Geometry - 1845 - 218 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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 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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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 pages
...II. THEOB. If a straight line be parallel to the base of a triangle, it shall cut the sides, or the sides produced, proportionally : and if the sides,...produced, be cut proportionally, the straight line which joins the points of section shall be parallel to the base. Let DE be parallel to BC, the base...
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Scholarship examinations of 1846/47 (-1853/54).

Bengal council of educ - 1852 - 348 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 proportionally, the straight line which joins the point of section shall be parallel to the remaining sides of the triangle. Hence shew...
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General Report on Public Instruction in the Bengal Presidency

Education - 1852 - 478 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 proportionally, the straight line which joins the point of section shall be parallel to the remaining sides of the triangle. Hence shew...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - Geometry - 1853 - 178 pages
...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...produced, be cut proportionally, the straight line which joins the points of section sliall be parallel to the remaining side of the triangle. LET de...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...(DE) be drawn parallel to one of the sides (BC) 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 ioins the noints of section shall be parallel to the remaining side of the triangle. For draw...
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