 | Euclides - 1848 - 52 pages
...of it, are between the same parallels. PROP. XL. THEOREM. Equal triangles upon equal bases, in the same straight line, and towards the same parts, are between the same parallels. PROP. XLI. THEOREM. If a parallelogram and a triangle be upon the same base, and between the same parallels... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...it. Wherefore equal triangles upon, &c. QED PROP. XL. THBOR. 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 : For, if it is not, through A... | |
 | Euclides - 1852 - 152 pages
...it. Wherefore equal triangles upon, &c. QED PEOP. 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; A __ r> they are between the same parallels. Join AD: AD is parallel to BC: For, if it is not, through... | |
 | Euclides - 1853 - 146 pages
...Wherefore, equal triangles upon, &c. QED PROP. XL. THEOREM. 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. AD B GET Join AD. AD is parallel to BC. For, if it is not, through... | |
 | Euclides - Geometry - 1853 - 176 pages
...PROPOSITION XL.^. Equal triangles upon equal bases, in the same straight line and towards the some ports, are between the same parallels. LET the equal triangles...ef, in the same straight line bf, and towards the «1_ same parts ; they are between the same parallels. Join ad; ad is parallel to bc, For, if it is... | |
 | Euclid, John Playfair - Geometry - 1853 - 336 pages
...triangles on the same side of bases which are equal and in the same straight line, are between the tame parallels. Let the equal triangles ABC, DEF be upon...same straight line BF, and towards the same parts ; they are between the same parallels. Join AD ; AD is parallel to BC ; for, if it is not, through... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...Wherefore equal triangles upon, etc! PROPOSITION XL. THEOR. Equal triangles upon equal bases, in the same straight line, and towards the same parts, are between the same parallels. QEP BOOK I. PBOP. XL., XLI., XLII. Join AD ; AD is parallel to BC : for, if it is not, through A draw... | |
 | John Playfair - Geometry - 1855 - 334 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...EF, in the same straight line BF, and towards the saji^parts ; they are beJoin ADPPP is parallel to BC ; for, if it is not, through A draw (31. 1.) AG... | |
 | Euclides - 1856 - 168 pages
...lines AD and AE ; therefore, AD is parallel to B C. XLIII. Equal triangles upon equal bases in the same straight line, and towards the same parts, are between the same parallels. Let ABC, DEF be equal triangles on the straight line BF, having base BC equal to base E F. The line AD... | |
 | Euclides - 1858 - 248 pages
...condition." — POTTS' Euclid, p. 51. PROP. 40. — THEOR. Equal triangles upon equal bases in the same straight line, and towards the same parts, are between the same parallels. CONSTRUCTION. — Pst. 1. A st. line may be drawn between two points. P. 31. Through a given point... | |
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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. 
