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Books Books 21 - 30 of 40 on ... be parallel to the remaining side of the triangle. Let DE be drawn parallel to....
" ... be parallel to the remaining side of the triangle. Let DE be drawn parallel to BC, one of the sides of the triangle ABC : BD is to DA, as CE to EA. Join BE, CD ; Then the triangle BDE is equal to the triangle CDE*, * .i. "
Books 3-9 - Page 212
by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908
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Manual of Euclid: books iv., v., vi., by J.A. Galbraith and S. Haughton

Joseph Allen Galbraith - 1859
...points of section is parallel to the remaining side of the triangle. PART L Statement — Let DE be drawn parallel to BC, one of the sides of the triangle ABC. The sides AB and AC are cut proportionally; that is, BD is to DA, as CE is to EA. Construction. —...
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A Treatise on Practical Mensuration

Anthony Nesbit - Measurement - 1859 - 450 pages
...a triangle parallel to one of its sides, it will cut the two other sides proportionally. Let DE be drawn parallel to BC, one of the sides of the triangle ABC ; then BD is to DA, as CE to EA. (Euc. VI. 2. Simp. IV. 12. Em. IL 12.) DB THEOREM XI. In the preceding...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 361 pages
...which joins the points of section shall be parallel to the remaining side of the triangle. Let DE be drawn parallel to BC, one of the sides of the triangle ABC. Then BD shall be to DA, as CE to EA. AAE Join BE, CD. Then the triangle BDE is equal to the triangle...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Robert Potts - 1864
...which joins the points of section shall be parallel to the remaining tide of the triangle. Let DE be drawn parallel to BC, one of the sides of the triangle ABC Then BD shall be to DA, as CE to EA. Join BE, CD. Then the triangle BDE is equal to the triangle CDE,...
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The college Euclid: comprising the first six and the parts of the eleventh ...

Alexander Kennedy Isbister - 1865
...the remaining side of the triangle. (References— Prop. i. 37, 39 ; v. 7, 9, 11 ; vi. 1.) Let DE be drawn parallel to BC, one of the sides of the triangle ABC. Then BD shall be to DA, as CE to EA. ED Join BE, CD. DEMONSTRATION Then the triangle BDE is equal to...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

1865 - 504 pages
...which joins the points of section shall be parallel to the remaining side of the triangle. Let DE\x> drawn parallel to BC, one of the sides of the triangle ABC. and cut AB, AC, or these produced in D, E. Then BD shall be to DA, as CE to EA. Join BE, CD. Then the...
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The Elements of Euclid for the Use of Schools and Colleges: Comprising the ...

Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...which joins the points <\f section, shall be parallel to the remaining side of the triangle. Let DE be drawn parallel to BC, one of the sides of the triangle ABC: BD shall be to DA as CE is to EA. Join BE, CD. Then the triangle BDE is equal to the triangle CDE,...
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The Elements of Euclid for the Use of Schools and Colleges;: Comprising the ...

Euclid, Isaac Todhunter - Geometry - 1867 - 400 pages
...join BC, and draw DE parallel to it. AE shall be the part required to be cut off. For, because ED is parallel to BC, one of the sides of the triangle ABC, therefore CD is to DA as BE is to EA ; [VI. 2. and, by composition, CA is to AD as BA is to AE. [V. 18. But CA...
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Manual of Euclid, Books 4-6

Euclid - 1868
...points of section is parallel to the remaining side of the triangle. PART I. Statement — Let DE be drawn parallel to BC, one of the sides of the triangle ABC. The sides AB and AC are cut proportionally; that is, BD is to DA, as CE is to E A. Construction. —...
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Modern Methods in Elementary Geometry

Edward Morris Reynolds - Geometry - 1868 - 112 pages
...there in AM each equal to AF, and so many in LM each equal to DF. THEOREM II. If a straight line LM be drawn parallel to BC one of the sides of the triangle ABC, then shall AL_LM_MA AB~ BC~ CA" Divide AL and AB into a number of equal parts as AD, and through the...
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