 | Saskatchewan. Department of Education - Education - 1906 - 188 pages
...sides of a triangle is parallel to the third side and equals the half of it. (d) As parallelograms on the same base and between the same parallels are equal in area (1.35) show how this proposition affords a means of measuring the area of a parallelogram, triangle,... | |
 | David Mair - Mathematics - 1907 - 412 pages
...position of this point, and give a geometrical proof of the above statement. 19. Prove that parallelograms on the same base and between the same parallels are equal in area. How could this be verified by means of a pack of cards or a pile of slates 1 From this illustration... | |
 | Walter Percy Workman - Geometry - 1908 - 228 pages
...rectangle is given by the product of the lengths of two adjacent sides 178 Ar.2. — Parallelograms on the same base and between the same parallels are equal in area (Euc. I. So) 184 Ar.3. — If a parallelogram and a triangle be on the same base and between the same... | |
 | Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...also the sides QJi and PS are equal; show that the sides PQ and US are parallel. (12) 9. Show that triangles on the same base and between the same parallels are equal in urea. Show how to construct a triangle equal in area to a given four-sided figure. (10) 10. ABCD is... | |
 | Henry Sinclair Hall - 1908 - 286 pages
...Areas. DEFINITIONS 99 THEOREM 23. AREA OF A RECTANGLE. 100 THEOREM 24. [Euc. I. 3o.] Parallelograms on the same base and between the same parallels are equal in area. 104 AREA OF A PARALLELOGRAM - - - . - - - - 105 THEOREM 25. AREA OF A TRIANGLE. 106 THEOREM 26. [Euc.... | |
 | 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 sum... | |
 | 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 the... | |
 | Joseph Gregory Horner - Engineering - 1909 - 560 pages
...angles; and the three interior angles of every triangle are equal to two right angles. (Prop. 32.) Triangles on the same base and between the same parallels are equal to one another. (Prop. 37.) Triangles on equal bases and between the same parallels are equal to one... | |
 | Alexander H. McDougall - Geometry - 1910 - 316 pages
...23 sq. cm. 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 prove... | |
 | Henry Arthur Bethell - Artillery - 1910 - 576 pages
...Fig. 144, or by reducing it to one triangle, as in Fig. 145, working on the principle that any two triangles on the same base and between the same parallels are equal. GUNNERY CALCULATIONS. KIG. 144. Circle. F'g- 145Let r be the radius ; then Circumference = 2*r Area,... | |
| |
Prove that parallelograms on the same base and between the same parallels are equal in area. 
