 | Braithwaite Arnett - 1874 - 130 pages
...consecutive angles of a quadrilateral is half the sum of the two remaining angles. 2. Parallelograms -on equal bases, and between the same parallels, are equal to one another. 3. Divide a given straight line into two parts, so that the rectangle contained by the whole and one... | |
 | Edward Atkins - 1876 - 130 pages
...is 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... | |
 | James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 pages
...tame altitude. NOTE 2.— The altitude must alwaya be perpendicular to the base. Ex.AB— B (B.) " Parallelograms upon equal bases and between the same parallels are equal to one another" (in area). — Euc. I., 36. and ACED, or ABCD and FCEG— Ex. ABCD BC " E NOTE. — The dotted line... | |
 | Education Department,London - 1876 - 1010 pages
...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... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...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... | |
 | Scotland free church - 134 pages
...equal to the squares 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... | |
 | Civil service - 1878 - 228 pages
...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... | |
 | J T. Amner - 1878 - 226 pages
...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... | |
 | Moffatt and Paige - 1879 - 474 pages
...triangle DEC. Therefore, triangles upon the same base, etc. QED Proposition XXXVIII. TheoremTriangles upon equal bases and between the same parallels are equal to one another. Let the triangles ABC, DEF be upon equal bases BC, EF, and between the same parallels BF, A D. Then the... | |
 | W J. Dickinson - Geometry - 1879 - 44 pages
...proposition. Describe a parallelogram equal to a given square having an angle equal to half a right 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... | |
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Triangles upon equal bases, and between the same parallels, are equal to one another. 
