 | James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pàgines
...are equal, as ' ' the halves of equal things are equal." — Euc. I., Ax. 7. (D.) " Triangles upon equal bases and between the same parallels are equal to one another" (in area). — Euc. I.. 38. Ex. ABC, KEFNOTE. -It can be readily seen that A BC is a half of the parallelogram... | |
 | Robert Potts - 1876 - 446 pàgines
...the three interior angles of every triangle are together equal to two right angles. 4. Triangles on equal bases and between the same parallels are equal to one another. 5. If the square described on one of the sides of a triangle be equal to the squares described on the... | |
 | Education Department,London - 1876 - 1010 pàgines
...condition is required that the triangles may be equal in all respects ? SECTION II. 2. Triangles on equal bases and between the same parallels are equal to one another. Describe a triangle equal to one sixteenth of a given triangle and having the same angles. 3. The complementa... | |
 | Edward Atkins - 1876 - 130 pàgines
...equal to the triangle DBC. Therefore, triangles, &c. QED Proposition 38. — Theorem. Triangles upon equal bases, and between the same parallels, are equal to one another. Let tho triangles ABC, DEF, bo on equal bases BC, EF, and between the same parallels BF, AD. The triangle... | |
 | Scotland free church - 134 pàgines
...on the two parts, together with twice the rectangle contained by the parts. 4. Parallelograms upon equal bases and between the same parallels are equal to one another. 5. Describe a right-angled triangle upon a given base, having given also the perpendicular from the... | |
 | J T. Amner - 1878 - 226 pàgines
...another square will be formed whose area is equal to one-half of the original square. 2. Triangles on equal bases and between the same parallels are equal to one another. Describe a triangle equal to one-sixteenth of a given triangle, and having the same angles. 3. The... | |
 | 1878 - 228 pàgines
...together less than the perimeter, but greater than the semiperimeter of the triangle. 2. Parallelograms on equal bases and between the same parallels are equal to one another. Find a point in one of two given straight lines such that the perpendiculars drawn through it to both... | |
 | Euclides - 1879 - 146 pàgines
...with these sides a triangle equal to the given triangle. PROPOSITION XXXVIII. THEOREM. Triangles on equal bases, and between the same parallels, are equal to one another. Let AS ABC, DBF be on = bases BC, EF, and between the same ||s BF, AD. Then shall A ABC = A DEF. GADH... | |
 | Edward Harri Mathews - 1879 - 94 pàgines
...of thar which has the greater angle shall be greater than the base of the other. 4. Triangles upon equal bases and between the same parallels are equal to one another. 5. To a given straight line apply a parallelogram that shall be equal to a given rectilineal figure... | |
 | Moffatt and Paige - 1879 - 474 pàgines
...Therefore, parallelograms upon the same base, etc. QED Proposition XXXVI. Theorem. Parallelograms upon equal bases, and between the same parallels, are equal to one another. Let ABCD, EFGH be parallelograms upon equal bases BC, FG, and between the same parallels AH, B G. Then... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
