| Education - 1844
...MODERATOR AND SENIOR EXAMINER. [The Differential Calculut it not to be wed.] 1 . Parallelograms on the **same base and between the same parallels are equal to one another.** 2. From a given circle to cut off a segment containing an angle equal to a given rectilineal angle.... | |
| William Carus Wilson - 1848
...periods and under what circumstances the same eclipses return. WEDNESDAY, 13TH NOVEMBER. 1. Show that **parallelograms upon the same base and between the same parallels are equal.** 2. Explain the construction of the hydraulic ram. 3. In what time would an engine, working at 100 HP,... | |
| Euclid - Geometry - 1845 - 199 pages
...parallelograms, &c. QED 31. 1. 4 Def. 34. ] t 35. 1. 34. 1. TAx: PROPOSITION XXXVII. THEOR. — Triangles **upon the same base, and between the same parallels, are equal to one another. Let the** triangles ABC, DBC be upon the same base BC, and between the same parallels AD, BC : the triangle ABC... | |
| Euclides - 1845
...EFGH. (ax. 1.) Therefore parallelograms upon equal, &c. QED PROPOSITION XXXVII. THEOREM. Triangles **upon the same base, and between the same parallels, are equal to one another. Let the** triangles ABC, DBC be upon the same base BC, and between the same parallels AD, BC. Then the triangle... | |
| Euclid, James Thomson - Geometry - 1845 - 352 pages
...parallelogram AC is equal (I. ax. 1) to EG. Wherefore parallelograms, &c. PROP. XXXVII. TnEOR.t — Triangles **upon the same base, and between the same parallels, are equal to one another.** * lt will appear, from this proposition, that the perimeters of two equal parallelograms on the same... | |
| Great Britain. Council on Education - 1845
...periods and under what circumstances the same eclipses return. Wednesday, 13th Nov. 1844. 1. Show that **parallelograms upon the same base and between the same parallels are equal.** 2. Explain the construction of the hydraulic ram. 3. In what time would an engine, working at 100 II... | |
| Euclides - 1846
...parallelogram ABCD is equal to EFGH. 'Wherefore, Parallelograms %c. QED PROP. XXXVII. THEOR. Triangles **upon the same base, and between the same parallels, are equal to one another. Let the** triangles ABC, DBC be upon the same base BC, and between the same parallels AD, BC : the triangle ABC... | |
| Great Britain. Admiralty - Geometry - 1846
...m ACDB into two = parts. Wherefore the opposite sides and angles, &c. PROP. XXXIV. THEOR. 35. lEu. **Parallelograms upon the same base, and be-tween the same parallels, are equal to one another.** FA DEFAEDF \ . If the sides AD, DF, of the / — 7"" ABCD, DBCF, opp. to RC the base, be terminated... | |
| Great Britain. Admiralty - Geometry - 1846
...ACDB into two •=• parts. Wherefore the opposite sides and angles, &c. PROP. XXXIV. THEOR. 3s. lEu. **Parallelograms upon the same base, and between the same parallels, are equal to one another.** PROP. XXXIV. FADE F \ . If the sides AD, DF, of the 1=1™ ABCD, DBCF, opp. to BC the base, be terminated... | |
| London univ - 1846
...that all the exterior angles of any rectilineal figure are together equal to four right angles. 6. **Parallelograms upon the same base and between the same parallels are equal to one another.** 7. Show that the complements of the parallelograms which are about the diameter of any .parallelogram... | |
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