 | D. Tierney - 1877 - 126 pagina’s
...not intersect, and therefore the construction for the triangle required would fail. 2. Parallelograms upon the same base, and between the same parallels, are equal to one another. Shew that if two triangles have two sides of the one equal to two sides of the other, each... | |
 | Alfonzo Gardiner - 1878 - 146 pagina’s
...= _. 7. The difference of two numbers is 14, and their sum is 48 : find the numbers. 8. Prove that triangles upon the same base, and between the same parallels, are equal to one another. 9. What do you mean by the " complements of a parallelogram " and by " applying a parallelogram... | |
 | J T. Amner - 1878 - 226 pagina’s
...equal to two right angles. What ratio does the angle of a regular hexagon bear to a right angle ? 2. Triangles upon the same base and between the same parallels are equal. A line drawn through the middle points of the sides of a triangle is parallel to the base. 3. In any... | |
 | Thomas Hunter - 1878 - 142 pagina’s
...same reason EFGH is equal to ABGH. Hence ABCD and EFGH are equal (Ax. 1). PROPOSITION VIII.—THEOREM. Triangles upon the same base, and between the same parallels, are equal ABC and ABD have the same base, AB, and be between the same parallels, AB and CD; then will these two... | |
 | Great Britain. Civil Service Commission - 1879 - 620 pagina’s
...same side ; and also the two interior angles on the same side together equal to two right angles. 3. Triangles upon the same base and between the same parallels are equal to one another. Let ABC, ABD, be two equal triangles upon the same base AB, and on opposite sides of it ;... | |
 | W J. Dickinson - 1879 - 44 pagina’s
...angle. 36. Parallelograms upon equal bases and between the same parallels are equal to one another. 37. Triangles upon the same base and between the same parallels are equal to one another. Any point P is taken in the line joining an angular point A of a triangle to the middle point... | |
 | Moffatt and Paige - 1879 - 474 pagina’s
...parallelogram EFGH (Ax. 1). Therefore, parallelograms upon equal bases, etc. QED Proposition XXXVII. Theorem. Triangles upon the same base, and between the same parallels, are equal to one another. Let the triangles ABC, DBC be upon the same base BC and between the same parallels AD, B C.... | |
 | 1879 - 636 pagina’s
...possible ? Show how the construction will fail if the condition is not observed. 4. Parallelograms upon the same base and between the same parallels are equal to one another. 5. In any right-angled triangle the square which is described upon the side subtending the... | |
 | Great Britain. Parliament. House of Commons - 1879 - 632 pagina’s
...possible ? Show how the construction will fail if the condition is not observed. 4. Parallelograms upon the same base and between the same parallels are equal to one another. 5. In any right-angled triangle the square which is described upon the side subtending the... | |
 | William Stanley Jevons - 1879 - 434 pagina’s
...investment of the whole amount. In the 37th proposition of the first book of Euclid it is proved that all triangles upon the same base and between the same parallels are equal in area. Hence we may draw the conclusion that, provided capital be invested and uninvested continuously... | |
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TRIANGLES upon the same base, and between the same parallels, are equal to one another. 
