| Trinity College (Dublin, Ireland) - 1908 - 574 pages
...parallel to one of its sides, construct a similar figure. Theoretical. 4. Trove that parallelograms on the same base and between the same parallels are equal in area. 5. In any triangle, prove that the square on the side opposite an acute angle is less than the... | |
| Royal Military Academy, Woolwich - Mathematics - 1909 - 456 pages
...Examination may be used in the solution of problems and riders. 1. Prove that two triangles standing on the same base and between the same parallels are equal in area. Hence show that if two triangles have two sides of the one equal to two sides of the other and... | |
| Alexander H. McDougall - Geometry - 1910 - 316 pages
...nearly; 3. 13-7 sq. cm. nearly; 4. 28'8 sq. cm.; 5. 36 ac. ; 6. 73 ac. nearly. THEOREM 5 Triangles on the same base and between the same parallels are equal in area. X BT Hypothesis.- — ABC, DEC are As on the same base BC and between the same ||s AD, BC. To... | |
| Henry John Spooner - Geometrical drawing - 1911 - 196 pages
...triangles are on the same base and between the same parallels. Euclid (I. 37) proves that all triangles on the same base and between the same parallels are equal in area. Area=l S / r \ q .o O W, 4/ -ea=l 's 9/, h 7C 90. To construct a Rectangle equal in Area to a... | |
| Joseph Harrison, George Albert Baxandall - Geometry, Descriptive - 1913 - 714 pages
...triangle having an area equal to the polygon. This solution is based on the theorem that triangles on the same base and between the same parallels are equal in area. 31. PROBLEM. — To construct a square equal in area to a given rectangle. Determine a mean proportional... | |
| Newfoundland Council of Higher Education - 1914 - 228 pages
...along AD and the point B comes to K. Prove that CH\s equal to DK. (8) 6. Assuming that parallelograms, on the same base and between the same parallels, are equal in area, prove that the area of a triangle can be found from the formula : Area = ^ base X height. A point... | |
| Alexander Caswell Ellis - Education - 1917 - 1098 pages
...in F, and F is joined to B. Prove that the angles BFA, EFA are equal. 3. Prove that parallelograms on the same base and between the same parallels are equal in area. ABCD, AEFG are two parallelograms having a common point at A, and having the vertex E on BC,... | |
| United States. Office of Education - Agricultural colleges - 1917 - 1336 pages
...in F, and F is joined to B. Prove that the angles BFA, EFA are equal. 3. Prove that parallelograms on the same base and between the same parallels are equal in area. ABCD, AEFG are two parallelograms having a common point at A, and having the vertex E on BC,... | |
| United States. Office of Education - 1918 - 1128 pages
...in F, and F is joined to B. Prove that the angles BFA, EFA are equal. 3. Prove that parallelograms on the same base and between the same parallels are equal in area. ABCD, AEFG are two parallelograms having a common point at A, and having the vertex E on BC,... | |
| Raymond Clare Archibald - Mathematics - 1918 - 310 pages
...in F, and F is joined to B. Prove that the angles BFA, EFA are equal. 3. Prove that parallelograms on the same base and between the same parallels are equal in area. ABCD, AEFG are two parallelograms having a common point at A, and having the vertex E on BC,... | |
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