 | 1867 - 964 σελίδες
...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 - 486 σελίδες
...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 - 482 σελίδες
...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 - 560 σελίδες
...I shall only appeal to the thirty-seventh proposition of the Grst 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 fourth... | |
 | Dugald Stewart - 1821 - 348 σελίδες
...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 - 594 σελίδες
...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 - 1829 - 418 σελίδες
...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 - 442 σελίδες
...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 - 1829 - 210 σελίδες
...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 - 1832 - 290 σελίδες
...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... | |
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Triangles on the same base, and between the same parallels, are equal. 
