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Books Books 31 - 39 of 39 on ... be parallel to the remaining side of the triangle. Let DE be drawn parallel to....  Take our survey New!
" ... 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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A complete treatise on practical land-surveying

Anthony Nesbit - 1870
...in that semicircle is a right angle (Euc. iii. 31 ; Simp. iii. 13; Em. vi. 14). THEOREM X. Lst DE be drawn parallel to BC, one of the sides of the triangle ABC ; then BD is to DA as CE to EA (Euc. vL 2 ; Simp. iv. 12 j Em. ii. 12). THEOREM XI. In the preceding...
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The Elements of Euclid, containing the first six books, with a selection of ...

Euclides - 1874
...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. Construction. Join BE, CD. Demonstration. Then the triangle...
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The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878
...t!f. one side, so are the corresponding segments in the other side to one another. First, let DE'be drawn parallel to BC, one of the sides of the triangle ABC. The sides AB A and AC.', or, AB,- AC produced towards A, are«ut proportionally ; that is, BD is to...
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The Elements of Euclid for the Use of Schools and Colleges: With Notes, an ...

Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...which joint 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: 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 geometry; or, The first six books, with the eleventh and ...

Euclides - 1881
...straight line which joint the pointt of tection is parallel to the base of the triangle. Let DE be drawn parallel to BC, one of the sides of the triangle ABC. The sides AB and AC or AB and AC produced, are cut proportionally ; that is, BD is to DA, asCEistoEA....
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The Elements of Plane and Solid Geometry: With Chapters on Mensuration and ...

Isaac Sharpless - Geometry - 1882 - 266 pages
...line which joins the points of section will be parallel to the other side of the triangle. Let DE be drawn parallel to BC, one of the sides of the triangle ABC; then BD : DA : : CE : EA. E CD EB 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 - 1883
...which joint 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: 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 Thirteen Books of Euclid's Elements, Volume 2, Books 3-9

Euclides - 1956
...each of the parallelograms EG, HK is similar both to the whole ABCD and to the other. For, since EF has been drawn parallel to BC, one of the sides of the triangle ABC, proportionally, as BE is to EA, so is CF to FA. [vi. 2] Again, since FG has been drawn parallel to...
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The Electrical Review, Volume 2

Electrical engineering - 1874
...b : fr B, Ad : <ID, Ac : cC are all equal. We have then the following theorem : — If a line DE be drawn parallel to BC, one of the sides of the triangle ABC, then FIG. 19. AD:DB::AE:EC. Of course we get in the same way that AB : AD :: AC : AE. Or the same thing...
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