| Geography - 1867 - 964 pages
...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 - Surveying - 1806 - 452 pages
...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 pages
...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 - Psychology - 1814 - 564 pages
...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,... | |
| Robert Gibson - Surveying - 1821 - 604 pages
...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... | |
| Dugald Stewart - Psychology - 1821 - 350 pages
...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... | |
| Dugald Stewart - 1829 - 442 pages
...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 - 418 pages
...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,... | |
| John Playfair - Geometry - 1829 - 186 pages
...triangle is half of a parallelogram on the same base and between the same parallels (41. 1.), and all **triangles on the same base and between the same parallels are equal** (37.1.); consequently ka b will denote the number of square feet in any plane triangle. Hence the surface... | |
| Robert Gibson - Surveying - 1832 - 290 pages
...part of the base the perpendicular was taken ; since it has been shown (in cor. to theo. 1 3 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... | |
| |