AE is a parallelogram : join AH, DF ; and because AB is parallel to DC, and BH to CF ; the two straight lines AB, BH, which meet one another, are parallel to DC and CF, which meet one another... Books 10-13 and appendix - Page 324by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| Euclid, John Davidson - Mathematics - 1835 - 513 pages
...each of the figures CE, FG, GB, BF, AE is a parallelogram: Join AH, DF; and because AB is parallei **to DC, and BH to CF, the two straight lines AB, BH, which meet one another, are parallel to** DC and CF, which meet one another, and are not in the same plane with the other two; wherefore they... | |
| John Playfair - Trigonometry - 1837 - 318 pages
...be proved that each of the figures CE, FG, GB, BE, AE is a parallelogram ; join AH, DF ; and because **AB is parallel to DC, and BH to CF ; the two straight,...lines AB, BH, which meet one another, are parallel to** DC and CF, which meet one another ; wherefore, though the first two are not in the same plane with... | |
| A. Bell, Robert Chambers, William Chambers - Geometry - 1837 - 164 pages
...proved that each of the figures CE, FG, GB, BF, AE, is ac/_./ parallelogram. Join AH, DF ; and because **AB is parallel to DC, and BH to CF ; the two straight...lines AB, BH, which meet one another, are parallel to** DC and CF, which meet one another ; wherefore, though the first two are not in the same plane with... | |
| A. Bell, Robert Chambers, William Chambers - Conic sections - 1837 - 164 pages
...parallelogram. Join AH, DF ; and be- V7 ,„-••'" ''\ cause AB is parallel to DC, and BH to TJ _ **CF ; the two straight lines AB, BH, which meet one another, are parallel to** DC and CF, which meet one another ; •wherefore, though the first two are not in the same plane •with... | |
| Euclides - 1841
...be proved that each of the figures CE, FG, GB, BF, AE is a parallelogram. Join AH, DF; and because **AB is parallel to DC, and BH to CF; the two straight lines AB, BH, which meet one another,** D '* are parallel to DC and CF which meet one another, and are not in the same plane with the other... | |
| John Playfair - Mathematics - 1842 - 317 pages
...be proved that each of the figures CE, FG, GB, BE, AE is a parallelogram ; join AH, DF ; and because **AB is parallel to DC, and BH to CF ; the two straight...lines AB, BH, which meet one another, are parallel to** DC and CF, which meet one another ; wherefore, though the first two are not in the same plane with... | |
| Euclides - 1845
...be proved, that each of the figures CE, FG, GB, BF, AE is a. parallelogram. Join AH,DF; And because **AB is parallel to DC, and BH to CF ; the two straight...lines AB, BH, which meet one another, are parallel to** DC and CF, which meet one another, and are not in the same plane with the other two: wherefore they... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 317 pages
...be proved that each of the figures CE, FG, GB, BE, AE is a parallelogram ; join AH, DF ; and because **AB is parallel to DC, and BH to CF ; the two straight...lines AB, BH, which meet one another, are parallel to** DC and CF, which meet one another ; wherefore, though the first two are not in the same plane with... | |
| Samuel Hunter Christie - 1847
...CE; FB, AE: its opposite planes shall be similar and equal parallelograms. Join AH, DF; and because **AB is parallel to DC, and BH to CF, the two straight...lines AB, BH, which meet one another, are parallel to** DC and CF, which meet one another: wherefore they contain equal angles (Prop. 20); therefore the angle... | |
| Euclides - 1855
...parallelogram. Join AH and D F. Because AB is parallel to D С, and BH to С F ; the two straight lines AB and **BH, which meet one another, are parallel to the two straight lines** D С and С F, which meet one another, and are not in the same plane with the other two. Therefore... | |
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