 | John Playfair - Mathematics - 1806 - 320 pages
...equal triangles upon, &c. QE1 D. Book I. PROP. XL. THEOR. EQUAL triangles upon equal bases, in the same straight line, and towards the same parts, are...same straight line BF, and towards the same parts ; they are between the same parallels. Join AD ; AD is parallel to BC. If it is -15 g ^ -a a 31. 1.... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...£. D. BC Wherefore, equal triangles, Sec. PROP. XL. THEOR. EQUAL triangles upon equal bases, in the same straight line, and towards the same parts, are...EF, in the same straight line BF, and towards the they same parts ; they are between the same parallels. Join AD; AD is parallel to BC : for, if it is... | |
 | Euclid - Geometry - 1810 - 554 pages
...equal triangles upon, &c. QED b 37. 1. B D PROP. XL. THEOR. EQUAL triangles upon equal bases, in the same straight line, and towards the same parts, are...DEF be upon equal bases BC, EF, in the same straight fine BF, and towards the tame parts; they are between the same parallels. Join AD; AD is parallel to... | |
 | John Mason Good - 1813 - 714 pages
...side of it, are between the same parallels. Prop. XL. Theor. Equal triangles upon equal bases, in the same straight line, and towards the same parts, are between the same parallels. Prop. XIJ. Theor. If a parallelogram and triangle he u|K>n the same base, and between the same parallels;... | |
 | Euclides - 1814 - 560 pages
...greater to the less, which is impos- '' C PROP. XL. THEOR. EQUAL triangles upon equal bases, in the same straight line, and towards the same parts, are...upon equal bases BC, EF, in the same straight line BF,and towards the same parts; they are between the same parallels. Join AD; AD is parallel to BC :... | |
 | Euclides - 1816 - 588 pages
...Whei»- . fore equal triangles upon, &c. QED PROP. XL. THEOR. EQUAL triangles upon equal bases, in the same straight line, and towards the same parts, are...triangles ABC, DEF be upon equal bases BC, EF, in the same A straight line BF, and towards the same parts; they are between the .same parallels. Join AD ; AD... | |
 | John Playfair - 1819 - 354 pages
...XL. THEOR. Equal triangles on the same side of bases, which are equal and in the same straight line, are between the same parallels. Let the equal triangles...same straight line BF, and towards the same parts ; they are between the same parallels. _Join AD ; AD is parallel to For, if it is not, through A draw... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...equal and in tht same straight line, are between the same parallels. Let the equal triangles ABC, DBF be upon equal bases BC, EF; in the same straight line BF, A_ J) and towards the same parts ; they are between the same parallels. Join AD ; AD is parallel to... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...Wherefore equal triangles, &c. QED Proposition XL. Theorem. Equal triangles upon equal bases, in the same straight line, and towards the same parts, are between the same parallels. I Let the equal triangles ABC, D EF be upon equal bases BC, EF, in the same straight line BF, and towards... | |
 | Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...XL. THEOR. Equal triangles on the same side of bases, whieh are equal and in the same straight line, are between the same parallels. . Let the equal triangles ABC, DEF be upon equal basis BC, EF, in the same straight line BF, and towards the same parts; they are between the same parallels.... | |
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Equal triangles, upon equal bases in the same straight line, and towards the same parts, are between the same parallels. Let the equal triangles ABC, DEF be upon equal bases BC, EF, in the same straight line BF, and towards the same parts. 
