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" ... proportionally : and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section, shall be parallel to the remaining side of the triangle. "
A Treatise on Practical Gauging - الصفحة 64
بواسطة Anthony Nesbit, W. Little - 1822
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - عدد الصفحات: 320
...straight line 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....

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - عدد الصفحات: 546
...straight line 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 trian- • gle ABC : BD is to DA, as CE to EA. Join BE, CD ; then the triangle BDE is equal to the...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1810 - عدد الصفحات: 554
...straight line 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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - عدد الصفحات: 588
...straight line 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...

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

John Playfair - 1819 - عدد الصفحات: 354
...straight like 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.),...

A Treatise on Practical Mensuration in Eight Parts ...

Anthony Nesbit - 1824 - عدد الصفحات: 476
...then the angle ABC in 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...DA, as CE to EA. (Euc. vI. 2. Simp. IV. 12. Em. II. 12J DB THEOREM XI. In the preceding figure, DE being parallel to BC, the triangles ABC, ADE are equi-angular...

A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

Peter Nicholson - 1825 - عدد الصفحات: 1046
...ânes 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...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - عدد الصفحات: 546
...joins the 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...

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

John Playfair - 1833 - عدد الصفحات: 346
...line which joins the points of section will be parallel to the remaining side of the triangle. Let BE 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.),...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - عدد الصفحات: 540
...line 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, because they are on the same base...




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