| Isaac Todhunter - 1880 - 400 Seiten
...two equal parts. Wherefore, the opposite sides &c. QED PROPOSITION 35. THEOREM. Parallelograms on 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 sameparallels AF, BC : the parallelogram... | |
| Pupil teachers - 1880
...basesand ㎏ tweenthes れ n @ e p 打 ⅠUe ね 竹 eequⅠ の one 町 ] oter ・ h 37.Triangles **upon the same base and between the same parallels are equal to one another.** Any point P is taken in the line joining an angular point A of a triangle to the middle point of the... | |
| Euclid, F. B. Harvey - 1880 - 119 Seiten
...parallelogram EFGH. Wherefore, Parallelograms on equal bases, &c. QED PROP. XXXVII. THEOREM. Triangles on the **same base and between the same parallels are equal to one another. Let** ABC and DBC be triangles on the same base BC, and between the same parallels AD and BC. Then it is... | |
| T S. Taylor - 1880
...of Euc. I. 4, I. 29, and I. 34. And Axioms 2a, 30, and 6. General Enunciation. Parallelograms on the **same base, and between the same parallels, are equal to one another.** Particular Enunciation (CASK I). Given — The parallelograms ABCD, DBCF, on the same base BC, and... | |
| Education Ministry of - 1880
...two adjacent sides of another parallelogram, the other sides will also be parallel. SECTION III. 1. **Triangles upon the same base and between the same parallels are equal.** Construct a triangle equal to a given triangle and having a base three times as great. 2. To a given... | |
| Woolwich roy. military acad, Walter Ferrier Austin - 1880
...ABC ; show how to divide A into two parts whose difference is equal to B. 2. Parallelograms on the **same base and between the same parallels are equal to one another.** On the side of the base BC remote from the vertex A of an acute-angled triangle a rectangle BDEC is... | |
| 1880 - 144 Seiten
...interior angles of every triangle are together equal to two right angles. (v.) Parallelograms on the **same base, and between the same parallels, are equal to one another.** (vi.) In any right angled triangle, the square which is described on the side subtending the right... | |
| William George Spencer - 1881 - 97 Seiten
...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** ? -£.^1 MtVg( Ce•\•. l-~ s' 138. Can you place a circle, whose radius is 1J inch, so that its... | |
| Moffatt and Paige - 1881 - 1880 Seiten
...base BC of a triangle ABC, so that DE shall be equal to the difference of BD, C E. 5. Parallelograms **upon the same base, and between the same parallels, are equal to one another.** ALGEBRA. 1. Find the value of &(y + x)# + $x(y - z)' - (x - z), when .r = 3, y = 4, z = 7. 2. Simplify... | |
| 1883
...and have one side equal to one side, then the triangles are equal in every respect. 6. Parallelograms **upon the same base and between the same parallels are equal to one another.** 7. Define : adjacent angles, opposite angles, vertical angles, and alternate angles ; and give examples... | |
| |