 | Euclides - 1826 - 226 sider
...so is the triangle ABC to the triangle ABG; and hence the triangle ABC has to ABG a duplicate ratio of that which BC has to EF. But the triangle ABG is equal to the triangle DEF, and therefore the triangle ABC has to the triangle DEF a duplicate ratio of that which BC has to EF.... | |
 | Euclid - 1826 - 234 sider
...so is the triangle ABC to the triangle ABG; and hence the triangle ABC has to ABG a duplicate ratio of that which BC has to EF. But the triangle ABG is equal to the triangle DEF, and therefore the triangle ABC has to the triangle DEF a duplicate ratio of that which BC has to EF.... | |
 | Robert Simson - 1827 - 546 sider
...6. 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 ; therefore also the triangle ABC lias to the triangle DEF the duplicate ratio of that •which BC has to EF. Therefore... | |
 | Euclid - 1835 - 540 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 to... | |
 | John Playfair - 1836 - 148 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 - 1837 - 410 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. * Therefore,... | |
 | Andrew Bell - 1837 - 290 sider
...(VI. 1). Therefore the triangle ABC •has to the triangle ABG the duplicate ratio of that which BG 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... | |
 | Robert Simson - 1838 - 434 sider
...triangle ABC to the triangle ABG. Therefore the triangles 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 - 1838 - 264 sider
...triangle ABG; therefore the triangle ABC is to the triangle ABG as the square of BC to the square of EF : but the triangle ABG is equal to the triangle DEF; therefore also the triangle ABC is to the triangle DEF as the square of BC to the square of EF. Therefore similar... | |
 | Euclides - 1841 - 378 sider
...the triangle ABG: there- * I. O. fore 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 the triangle ABC has to the triangle DEF the duplicate ratio of that which BC has to EF. Therefore similar triangles,... | |
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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... 
