 | Robert Simson - 1806 - 546 σελίδες
...or those produced, proportionally: and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section...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... | |
 | Euclid - 1810 - 554 σελίδες
...or those produced, proportionally: and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section...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 EA. Join... | |
 | John Mason Good - 1813 - 714 σελίδες
...or those produced, 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 triangleProp. III. Theor. If the angle of a trUogie be divided ¡oto tiro rqnal angles, by a straight... | |
 | Euclides - 1814 - 560 σελίδες
...or these produced,, proportionally : And if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section...be parallel to the remaining side of the triangle. Join BE, CD ; then the triangle BDE is equal to the triangle CDE a , because they are on the same base... | |
 | John Playfair - 1819 - 354 σελίδες
...&c. QED PROP. III. THEOR. If the angle of a triangle be bisected by a straight line which also cuts the base ; the segments of the base shall have the same ratio which the other sides of the triangle liave to one another: And if the segments of the base have the... | |
 | Euclid, Robert Simson - 1821 - 514 σελίδες
...or those produced, proportionally; and if the sides, or the sides produced, be cut proportionally, the straight line which joins the points of section...be parallel to the remaining side of the triangle.* Join BE, CD; then the triangle BDE is equal to the triangle CDE (37. 1.), because they are on the same... | |
 | Euclid - 1826 - 234 σελίδες
...triangle proportionally; and if the sides of a triangle be cut proportionally, the right line joining the points of section shall be parallel to the remaining side of the triangle. For draw DE parallel to one of the sides of the triangle ABC, viz. to вс ; then as BD is to DA so... | |
 | Euclides - 1826 - 226 σελίδες
...triangle proportionally; and if the sides of a triangle be cut proportionally, the right line joining the points of section shall be parallel to the remaining side of the triangle. For draw DE parallel to one of the sides of the triangle ABC, viz. to вс; then as BD is to DA so... | |
 | Euclid, John Playfair - 1826 - 326 σελίδες
...&e. QED PROP. III. THEOR. If the angle of a triangle be hiseeted by a straight line whieh also euts the base; the segments of the base shall have the same ratio whieh the other sides of the triangle have to one another: And if the segments of the base have the... | |
 | Euclid, John Playfair - 1826 - 506 σελίδες
...GEOMETRY. PROP. III. THEOR. If the angle of a triangle be bisected by a straight line which also cuts the base; the segments of the base shall have the same ratio which the other sides of the triangle have to one another: And if the segments of the base have the... | |
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tionally, the straight line which joins the points of section shall be parallel to the remaining side of the triangle. *PROP. in. If the angle of a triangle be divided by a straight line cutting the base, the segments of the base shall have the same ratio... 
