 | 1867 - 964 σελίδες
...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 - 384 σελίδες
...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 - 486 σελίδες
...part 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...must know at what part of the base the perpendicular was taken in order to set it oft' in its due position ; and hence the map is easily constructed. PROBLEM... | |
 | Robert Gibson - 1811 - 580 σελίδες
...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...must know at what part of the base the perpendicular was taken in. order to set it off in its due position ; and hence the map is easily constructed. PROB.... | |
 | Dugald Stewart - 1814 - 560 σελίδες
...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 - 502 σελίδες
...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...must know at what part of the base the perpendicular was taken, in order to set it off in its due position ; and hence the map is easily constructed. PROB.... | |
 | Robert Gibson - 1821 - 594 σελίδες
...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...must know at what part of the base the perpendicular was taken, in order to set it off in its due position ; and hence the map is easily constructed. PROS.... | |
 | Dugald Stewart - 1821 - 348 σελίδες
...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 σελίδες
...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 σελίδες
...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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... that triangles on the same base and between the same parallels are equal... 
