| 1867
...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 - 1795 - 319 páginas
...has been (hewn (in Cor. td Theo. 13. Sect, i.) that Triangles on the fame Bafe, and between the fame **Parallels are equal : But if you would draw a Map from the** Bafes and Perpendiculars, it is evident that you muft know at what Part of the Bafe the Perpendicular... | |
| Robert Gibson - 1806 - 452 páginas
...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...base the perpendicular was taken in order to set it** oft' in its due position ; and hence the map is easily constructed. PROBLEM XVI. To determine the area... | |
| Robert Gibson - 1808 - 440 páginas
...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...must know at what part of the base the perpendicular** was1 takeri$ in order to set it off' in its due position ; and hence the map is easily constructed.... | |
| Robert Gibson - 1811 - 508 páginas
...shewn (in cor. to theo. 13. geom.J that triangles on the same base, and between the same parallels arc **equal ; but if you would draw a map from the bases...position ; and hence the map is easily constructed.** PROB. XVI. To determine the area of a fiiece of ground, having the •map given, by reducing it to... | |
| 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,... | |
| Robert Gibson - 1818 - 478 páginas
...was taken : since it has been shewn (in cor. to theo. 18. sect. 1.) that triangles on the same bane, **and between the same parallels are equal : but if...position ; and hence the map is easily constructed.** PROB. To determine the area of a piece of ground, having the map given, by reducing it to one triangle... | |
| Robert Gibson - 1821 - 544 páginas
...at what 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...position ; and hence the map is easily constructed.** PROS. XVI. PL. 8. 2ig. 5. To determine the area of a piece of ground, having the maft given, by reducing... | |
| 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... | |
| 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,... | |
| |