 | 1882 - 498 pagina’s
...length between two given straight lines which meet so that it shall be equally inclined to each. 9. If a parallelogram and a triangle be upon the same base and between the same parallels, the parallelogram is double of the triangle. 10. Divide a given straight line into two parts,... | |
 | John Robertson (LL.D., of Upton Park sch.) - 1882 - 152 pagina’s
...angle in a segment, sector of a circle ; and prove that the angle in a semi-circle is a right angle. 2. If a parallelogram and a triangle be upon the same base and between the same parallels, the parallelogram shall be double of the triangle. 3. To describe a circle about a given... | |
 | Marianne Nops - 1882 - 278 pagina’s
...are halves of equal ||gram" (I. 34), and are equal (ax. 7). SUMMARY OF PROPOSITION XLL, THEOREM 31. If a parallelogram and a triangle be upon the same base, and betiveen the same parallels, the parallelogram is double of the triangle. Cons. — Join AC. Triangles... | |
 | Joseph Hughes - 1883 - 568 pagina’s
...sides then iJ.v + 4 right angles = x sides x 2 = or 7*+i6 = 8* ¿л, x = i6 = No. of sides. Ans. 2. If a parallelogram and a triangle be upon the same base and between the same parallels the parallelogram shall be double of the triangle. Euclid I. 41. 3. To describe a square... | |
 | 1883 - 654 pagina’s
...fides then li-* + 4 right angles = x sides x 2 = or Jx+ 16 = 8* ie, x = 16 = No. of sides. Ans. 2. If a parallelogram and a triangle be upon the same base and between the same parallels the parallelogram shall be double of the triangle. Euclid I. 41. 3. To describe a square... | |
 | Euclides - 1884 - 182 pagina’s
...parallel to AB, and that, similarly, OF would be parallel to AC. 90. PROPOSITION XLI. — THEOREM. If a parallelogram and a triangle be upon the same base and between the name parallels, the parallelogram is double of the triangle. Let the parallelogram ABCD and the triangle... | |
 | 1885 - 608 pagina’s
...angles, and the three interior angles of every triangle are together equal to two right angles. 3. If a parallelogram and a triangle be upon the same base and between the same parallels, the parallelogram is double of the triangle. 4. If a straight line be divided into any two... | |
 | George Bruce Halsted - 1885 - 389 pagina’s
...the same point, and for their bases equal sects of the same line, are equivalent. 255. COROLLARY III. If a parallelogram and a triangle be upon the same base and between the same parallels, the parallelogram is double the triangle. THEOREM XLIII. 256. If through any point on the... | |
 | George Bruce Halsted - 1886 - 394 pagina’s
...sects of the same line, are equivalent.) /. &ABCK double A ABD. ~B\A£7AHFD is also double A ABD, (255. If a parallelogram and a triangle be upon the same base and between the same parallels, the parallelogram is double the triangle.) PROBLEM XIII. 259. On a given sect as base, to... | |
 | Queen's University (Kingston, Ont.) - 1886 - 900 pagina’s
...squares on the two parts together with twice the rectangle contained by the parts. Eue. II. 4. 11. If a parallelogram and a triangle be upon the same base, and between the eame parallels, the parallelogram is double of the triangle. Eue. I. 41. Latin Translation and Grammar... | |
| |
If a parallelogram and a triangle be upon the same base, and between the same parallels; the parallelogram shall be double of the triangle. 
