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Books Books 1 - 10 of 38 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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Elements of geometry: containing the first six books of Euclid, with a ...

John Playfair - Trigonometry - 1806 - 311 pages
...which joins the points of section will bt 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. Book VI. Join BE, CD ; then the triangle BDE is equal to the triangle CDEa....
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1810 - 518 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 CF. to E A. Ioin BE, CD; then the triangle BDE is equal to the triangle CD E*, because...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - Geometry - 1816 - 528 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 CDEa, because...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 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 Treatise on Practical Gauging

Anthony Nesbit, W. Little - Gaging - 1822 - 533 pages
...that semicircle, is a right angle. (Euc. ///. 31. Simp. III. 13. Em. VI. 14.J 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 EA, ( Euc, VI. 2, Simp. IV. 12. Em. II. 12.} :i the preceding figure, DE...
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A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - Measurement - 1824 - 434 pages
...that semicircle, is a right angle. (Euc. III. 31. Simp. III. 13. Em. vI. 14.; B 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 EA. (Euc. vI. 2. Simp. IV. 12. Em. II. 12J DB THEOREM XI. In the preceding...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - Mathematics - 1825 - 372 pages
...tvhich joins ¡he 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 is to DA, as CE to EA. Join BE, CD; then the triangle RUH U equal to the triangle CDE, (87.) because...
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid, Phillips - 1826 - 180 pages
...вс, and through D draw DF parallel to вс. And because FD is drawn parallel to one of the sides вс of the triangle ABC ; therefore, proportionally as CD is to DA so is BF to FA." But CD is double of DA ; therefore / \K • 4. 6. also BF is double of FA ; hence BA is triple of AF....
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - Trigonometry - 1827 - 513 pages
...points of section shall be parallel to the remaining side of the triangle. a \ •-, " • Let DE be drawn parallel to BC, one of the sides of the triangle ABC : BD shall be to DA, as CE to EA. * 37. 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 ...

Euclid, John Davidson - 1835 - 513 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 ; then BD is to DA, as CE to EA. Join BE, CD ; then the triangle BDE is equal to the triangle CDE a,...
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