| Popular educator - 1767
...г, as we will proceed to show. The reader will remember that in Problem XXIV (page 308) it was shown **that triangles on the same base and between the same parallels are equal** to one another, and that triangles on equal bases and between the same parallels are also equal to... | |
| Robert Gibson - 1806 - 452 sider
...of the bases the perpendicular was taken : since it has been shewn (in cor. to theo. 13, sect. 1.) **that triangles on the same base, and between the same parallels are equal** : but if you would draw a map from the bases and perpendiculars, it is evident that you must know at... | |
| Robert Gibson - 1808 - 440 sider
...part of the base the perpendicular was taken : since it has been shewn (in cor. to theo. 13. seel. 1.) **that triangles on the .same base, and between the same parallels are equal** : but if you would draw a map from the bases and perpendiculars, it is evident that you must know at... | |
| Dugald Stewart - 1814
...which experience is equally incompetent to disprove or to confirm ? In like manner, when it is said, **that " triangles on the same base, and between the same parallels are equal,"** do we feel ourselves the less ready to give our assent to the demonstration, if it should be supposed,... | |
| Dugald Stewart - 1821
...doctrine, I shall only appeal to the thirty-seventh proposition of the first book, .' in which it is proved **that triangles on the same base, and between the same parallels, are equal** ; a theorem which appears, from a very simple construction, to be only a few steps removed from the... | |
| Robert Gibson - 1821 - 544 sider
...part of the base the perpendicular was taken : since it has been shown (in cor. to theo. 13. geom.) **that triangles on the same base, and between the same parallels, are equal** ; but if you would draw a map from the bases and perpendiculars, it is evident that you must know at... | |
| Nathaniel Bowditch - 1826 - 617 sider
...that the parallelogram EFHG is equal to the parallelogram BDFE ; therefore the three j.aralleloRrams **ABDC, BDFE, and EFHG are equal to each other. Cor....that triangles on the same base and between the same** jnraUels are equal, since they are the half of the paiallelograms on the same base and between the... | |
| Nathaniel Bowditch - 1826 - 617 sider
...parallelograms ABDC, BDFE, and EFHG arc equal to each other. Cor. Hence it follows, that triiinclrs on tltr **same base and between the same, parallels are equal, since they are the half** of the parallelograms on the samn hase and between the same parallels (by art. iS.) * LI- ' .• In... | |
| Dugald Stewart - 1829
...which experience is equally incompetent to disprove or to confirm 1 In like manner, when it is said, **that " triangles on the same base, and between the same parallels are equal,"** do we feel ourselves the less ready to give our assent to the demonstration, if it should be supposed,... | |
| Dugald Stewart - 1829
...which experience is equally incompetent to disprove or to confirm 1 In like manner, when it is said, **that " triangles on the same base, and between the same parallels are equal,"** do we feel ourselves the less ready to give our assent to the demonstration, if it should be supposed,... | |
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