 | John Playfair - Euclid's Elements - 1837 - 332 pages
...parallels, and joined towards the same parts by the straight lines BE, CH : But straight lines which join equal and parallel straight lines towards the .same parts, are themselves equal and parallel (33. 1.) ; therefore EB, CH are both equal and parallel, and EBCH is a parallelogram ; and it is equal... | |
 | Charles Reiner - Geometry - 1837 - 254 pages
...straight lines. M.—Now, alter the preceding statement in conformity with this finding. P.—The two straight lines which join the extremities of two equal and parallel straight lines in the same direction, or toward the same parts, are equal and parallel. 'P.—The opposite sides of... | |
 | Euclides - 1838 - 264 pages
...right angles; therefore all the exterior angles are equal to four ri^ht angles. 0 PROP. XXXIII. THEOR. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are also themselves equal and parallel. Let AH, CD be equal and parallel A t, straight lines, and joined... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...right angles ; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
 | Euclides - Geometry - 1841 - 378 pages
...right angles; therefore all the exterior angles are equal to four right angles. PROP. XXXIII. THEOR. The straight lines which join the extremities of two...parallel straight lines towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...drawn at pleasure, cannot meet the contour of the polygon in more than two points. PROP. XXXIII. THEOR. The straight lines which join the extremities of two...parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD, be equal and parallel straight lines, and joined towards... | |
 | Euclides - 1842 - 316 pages
...angles together with twice as many right angles as there are re-entering angles. PROP. XXXIII. THEOR. THE straight lines which join the extremities of two...parallel straight lines, towards the same parts, are also themselves equal and parallel. Let AB, CD be equal and parallel straight lines, and joined towards... | |
 | Education - 1844 - 688 pages
...these shall be less than the other two sides of the triangle but shall contain a greater angle. 4. The straight lines which join the extremities of two equal and parallel straight lines are themselves equal and parallel. 5. Describe a square upon a given straight line. 6. If a straight... | |
 | Alexander Jamieson - Mechanics - 1845 - 572 pages
...construction, CF is equal and parallel to AH, PB and AH to PE, CF is also equal and parallel to PE ; but straight lines which join the extremities of two equal...the same parts, are themselves equal and parallel ; wherefore EF is equal and parallel to PC, and the figure PEFC is a parallelogram, of which the diagonal... | |
 | Scottish school-book assoc - 1845 - 444 pages
...there be added the equal _.< CDB and ABD, the whole ZADC will be = the whole ZABC. QED Cor. 1. The lines which join the extremities of two equal and...the same parts, are themselves equal and parallel. and ABD hare two sides, CD and DB of the one = two AB and DB in the other, and the contained /.CDB... | |
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THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel. 
