 | Edward Atkins - 1876 - 130 σελίδες
...two equal parts. Therefore, the opposite sides, &c. QED Proposition 35. — Theorem. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be on the same base BC, and between the same parallels AF, BC; The parallelogram... | |
 | Robert Potts - 1876 - 446 σελίδες
...of the one shall be equal to the angle contained by the two sides, equal to them, of the other. 2. Triangles upon the same base, and between the same parallels, are equal to one another. 3. If the square described upon one of the sides of a triangle be equal to the squares described upon... | |
 | William George Spencer - 1876 - 118 σελίδες
...make two triangles that shall be equal to each other, and yet not similar ? 137. Can you show that all triangles upon the same base and between the same parallels are equal to one another 'i 138. Can you place a circle, whose radius is 1J inch, so that its circumference may touch two points... | |
 | Henry Major - 1876 - 784 σελίδες
...equal to two right angles, the two straight lines shall be parallel to one another. 8. Parallelograms upon the same base, and between the same parallels, are equal to one another. Are the parallelograms equal in all respects ? 1. Simplify 1£ — | -j 1 — *-(*— §) >• , and... | |
 | University of Madras - 1876 - 580 σελίδες
...D. Prove that the exterior angle ACD is greater than the angle ABC. III. Prove that triangles on the same base and between the same parallels are equal to one another. (a) Two equal triangles have two sides of the one equal to two sides of the other. What con elusion... | |
 | James Martin (of the Wedgwood inst, Burslem.) - 1876 - 334 σελίδες
...on the following problems he should thoroughly master the subjoined theorems.) (A.) "Parallelograms upon the same base, and between the same parallels, are equal to each other" (in area). — Euc. I., 35. Ex. ABCD, DBCF— NOTE 1. — " Between the same parallels... | |
 | 1876 - 400 σελίδες
...equal to two right angles. What ratio does the angle of a regular hexagon bear to a rig] it angle? 2. Triangles upon the same base and between the same parallels are equal. A line drawn through the middle points of the sides of the triangle is parallel to the base. 3. In... | |
 | Education Department,London - 1876 - 1010 σελίδες
...? Construct the triangle when each side is equal to half the sum of the other two. SECTION III. 2. Triangles upon the same base and between the same parallels are equal. A line drawn through the middle points of the sides of a triangle is parallel to the base. 3. In any... | |
 | Edward Atkins - 1877 - 72 σελίδες
...two equal parts. Therefore, the opposite sides, &c. QED Proposition 35. — Theorem. Parallelograms upon the same base, and between the same parallels, are equal to one another. Let the parallelograms ABCD, EBCF be on the same base BC, and between the same parallels AF, BC ; The parallelogram... | |
 | William George Spencer - 1876 - 118 σελίδες
...make two triangles that shall be equal to each other, and yet not similar ? 137. Can you show that all triangles upon the same base and between the same parallels are equal to one another ? 138. Can you place a circle, whose radius is \\ inch, so that its circumference may touch two points... | |
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Parallelograms upon the same base and between the same parallels, are equal to one another. 
