 | 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 - 1806 - 486 σελίδες
...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 - 482 σελίδες
...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 - 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,... | |
 | Abraham Crocker - 1817 - 442 σελίδες
[ Λυπούμαστε, το περιεχόμενο αυτής της σελίδας είναι περιορισμένο ] | |
 | 1821 - 708 σελίδες
...the parallelogram EFHG is equal to the parallelogram BDFE ; therefore the thre* parallelograms ABDC, BDFE, and EFHG are equal to each other. Cor. Hence...follows, that triangles on the same base and between the tame parallels are equal, since they are the half of the parallelograms on the same base aiid between... | |
 | 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 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 - 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... | |
 | Nathaniel Bowditch - 1826 - 764 σελίδες
...the parallelogram EFHG is equal to the parallelogram BDFE ; therefore the three j.aralleloRrams ABDC, BDFE, and EFHG are equal to each other. Cor. Hence...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 - 732 σελίδες
...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 any right angled triangle, the... | |
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In like manner, when it is said, that " triangles on the same base, and between the same parallels, are equal... 
