 | Euclides - 1845 - 546 sider
...the triangle ABG ; (vi. 1.) therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC has to EF: but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has to EF. Therefore... | |
 | Euclid - 1845 - 218 sider
...triangle ABC to the triangle ABG ; therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC has to EF : but the triangle ABG is equal to the triangle DEF ; wherefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has... | |
 | Euclid, James Thomson - 1845 - 382 sider
...BG, so is the triangle ABC to ABG. Therefore (V. 11) the triangle ABC has to ABG the duplicate ratio of that which BC has to EF. But the triangle ABG is equal to DEF ; wherefore also the triangle ABC has to DEF the duplicate ratio of that which BC has to EF.f Therefore,... | |
 | Royal Military Academy, Woolwich - 1853 - 400 sider
...triangle ABC to the triangle ABG ; therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC has to EF: but the triangle ABG is equal to the triangle DEF ; wherefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has... | |
 | Euclides - 1853 - 176 sider
...triangle abc to the triangle abg. Therefore the triangle abc has to the triangle abg the duplicate ratio of that which bc has to ef : but the triangle abg is equal to the triangle def : wherefore also the triangle abc has to the triangle def the duplicate ratio of that which bc has... | |
 | Euclides - 1855 - 230 sider
...ABC to the triangle ABG (/) ; therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC has to EF ; but the triangle ABG is equal to the triangle DEF ; wherefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which. BC has... | |
 | Eucleides - 1860 - 396 sider
...ABC to the triangle ABG (/) ; therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC has to EF ; but the triangle ABG is equal to the triangle DEF ; wherefore also the triangle ABC has to the triangle DBF the duplicate ratio of that which BC has... | |
 | Euclides - 1860 - 288 sider
...triangle ABG (VI. 1). Therefore the triangle ABC is to the triangle ABG in the duplicate ratio of BC to EF. But the triangle ABG is equal to the triangle DEF; wherefore also the triangle ABC is to the triangle DEF in the duplicate ratio of BC to EF. COR. —... | |
 | Euclides - 1864 - 448 sider
...the triangle.4-BC?; (VI.l.) therefore the triangle ABC has to the triangle ABG, the duplicate ratio of that which BC has to EF: but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC has to the triangle DEF, the duplicate ratio of that which .BClias to EF. Therefore... | |
 | Euclides - 1865 - 402 sider
...the triangle ABG ; (vi. 1.) therefore the triangle ABC has to the triangle ABG, the duplicate ratio of that which BC has to EF ; but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC has to the triangle DEF, the duplicate ratio of that which BC has to EF. Therefore,... | |
| |
ABG ; (vi. 1.) therefore the triangle ABC has to the triangle ABG the duplicate ratio of that which BC has to EF: but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC has to the triangle DEF the duplicate ratio of that which... 
