 | 1850 - 318 pàgines
...BOB'. The former of the above propositions seems to be a proper generalization of Euclid's theorem " that triangles on the same base and between the same parallels are equal." If we have any number of surfaces of definite extent, either plane or curved, and we form pyramids... | |
 | Dugald Stewart - 1854 - 454 pàgines
...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,... | |
 | Dugald Stewart - 1854 - 450 pàgines
...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,... | |
 | University of Oxford - 1863 - 316 pàgines
...sides equal to three given straight lines, of which any two whatever must be greater than the third. 5. Triangles on the same base and between the same parallels are equal to each other. 6. Describe a parallelogram which shall be equal to a given triangle, and have one of... | |
 | Euclid, Isaac Todhunter - 1867 - 424 pàgines
...equal to the parallelogram EFGH. [Axiom 1. Wherefore, parallelograms &c. QED PROPOSITION 37. THEOREM. Triangles on the same base, and between the same parallels, are equal. Let the triangles ABC, DBC be on the same base BC, and between the same parallels AD,BC: the triangle... | |
 | Rolla Rouse - 1867 - 228 pàgines
...between practical and theoretical knowledge, take proposition 37 in the first book of Euclid, shewing that triangles on the same base and between the same parallels are equivalent. The man with practical knowledge, is not only able to understand the demonstration, but... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pàgines
...equal to the parallelogram EFGH. [Axiom 1. Wherefore, parallelograms &c. QED PROPOSITION 87. THEOREM. Triangles on the same base, and between the same parallels, are equal. Let the triangles ABC, DBC be on the same base BC, and between the same parallels AD,BC: the triangle... | |
 | Alexander Leitch - 1868 - 622 pàgines
...can expect to rear the fabric of scientific ethics. The perception or knowledge of any one that two triangles on the same base and between the same parallels are equal, is not the criterion of their equality. Their equality is a reality which does not depend upon the... | |
 | 1872 - 420 pàgines
...Explain OBLONG, RHOMBOID, DIAGONAL. 7. Delineate a kite with mathematical accuracy. 8. Show by a drawing that triangles on the same base, and between the same parallels, are equal. 9. Why does not a bridge, when properly built, fall in f Make a drawing of such a bridge. 10. Distinguish... | |
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... that triangles on the same base and between the same parallels are equal... 
