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Books Books 11 - 20 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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The Element of Geometry

John Playfair - Trigonometry - 1836 - 114 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 ; BD is to DA, as CE to EA. Join BE, CD ; then the triangle BDE is equal to the triangle CDE (Cor....
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...which joins the points of section shall be parallel to the remaining side of the triangle, LetDE be drawn parallel to BC, one of the sides of the triangle ABC : BD shall be to DA, as CE to EA. 3, 1 Join BE, CD ; then the triangle BDE is equal' to the triangle...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841
...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. Join BE, CD; then the triangle BDE is equal* to the triangle CDE,...
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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Mathematics - 1842 - 317 pages
...which , joins the points of section will 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 (37. 1.),...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclides - Geometry - 1845 - 199 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 : BD is to DA, as CE to EA. Join BE, CD ; Then the triangle BDE is equal to the triangle CDE*, * .i....
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...nhich 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. Join BE, CD. Then the triangle BDE is equal to the triangle CDE,...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...off from it ; join BC, and draw DE parallel to it : then AE is the part required. For, because ED is parallel to BC, one of the sides of the triangle ABC, therefore BE is to EA as CD to DA, and, by composition (5. 18), BA is to AE as CA to AD : But CA is a certain...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 317 pages
...which joins the points of section will 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 (37. 1.),...
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A complete treatise on practical land-surveying, in all its departments ...

Anthony Nesbit - Technology & Engineering - 1847 - 426 pages
...that semi-circle, is a right angle. (Euc. III. 31. Simp. in. 13. Em. VI. 14.) THEOREM X. Let DE be drawn parallel to BC, one of the sides of the triangle ABC; then BD is to DA, as CE to E A. (Euc. VI. 2. Simp. IV. 12. Em. II. 12.) THEOREM XI. DB In the preceding...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich, Thomas Stephens Davies, Stephen Fenwick, William Rutherford - Mathematics - 1853
...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 : BD is to DA, as CE to EA. Join BE, CD : Then the triangle BDE is equal to the triangle CDE (37. i.),...
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