| Royal Institute of British Architects - 1890 - 276 pages
...bisect a given rectilineal angle, ie, to divide it into two equal parts. (Euclid, Bk. 1, prop. 9). 11. **Parallelograms upon equal bases and between the same parallels are equal to one another.** (Euclid, Bk. 1, prop. 36).* Tuesday Afternoon: one hour and a half. GEOGEAPHY AND HISTORY. Hon. Examiner:... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...DBC is half of the ||gm DBCF, [I. 34. ... A ABC = ADBC. [Ax. 7. PROPOSITION 38. THEOREM. Triangles on **equal bases and between the same parallels are equal to one another. Let** ABC and DEF be As on equal bases, BC and EF, and between the same parallels BF and AD, then ABC shall... | |
| John Fry Heather - Geometry, Modern - 1890 - 252 pages
...EQUIVALENT AND SIMILAR FIGURES. THEOREMS. 214. THEOR. 29. — Parallelograms and triangles upon the same or **upon equal bases, and between the same parallels, are equal to one another.** (Eu. I. 35 — 38.) 215. THEOR. 30. — If a parallelogram and a triangle be upon the same base and... | |
| Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...Triangles on the same base and between the same parallels are equal to one another. 38. Triangles on **equal bases and between the same parallels are equal to one another.** 39. Equal triangles on the same base and on the same side of it are between the same parallels. 40.... | |
| 1893 - 852 pages
...chiefly produced, and where gold, coal, and tin are found. EUCLID (BOOKS I.-IV. )— (i) Triangles **upon equal bases and between the same parallels are equal to one another.** The base BC of the triangle ABC is bisected in D, and through B a line is drawn meeting AC in E and... | |
| Mines and mineral resources - 1894 - 330 pages
...EBCF be two parallelograms. Then ABCD is equal in area to EBCF. IX. Triangles upon the same base, or **upon equal bases, and between the same parallels are equal to one another.** Thus the triangle ABC, Fig. 25, is equal in area to the triangle DEF. X. A triangle is equivalent to... | |
| Thomas Fowler - Induction (Logic) - 1895 - 620 pages
...equal to one another,' is derived from, or is the total result of, the previous deductions (i) that ' **Parallelograms upon equal bases, and between the same parallels, are equal to one another,'** (2) that ' Triangles formed by the diagonal of a parallelogram are each of them equal to half the parallelogram... | |
| Northwest Territories Council of Public Instruction - 1897 - 628 pages
...right angles. I. 32. Cor. 2. (6) Divide a right angle into five equal parts. 10. ('/) Parallelograms on **equal bases and between the same parallels are equal to one another.** I. 36. (6) Extend the proof of proposition (a) to any number of parallelograms. (c) Distinguish "equal... | |
| Seymour Eaton - 1899 - 362 pages
...square shall be less than that of the parallelogram. Lesson No. 17 PROPOSITION 38. THEOREM Triangles on **equal bases, and between the same parallels, are equal to one another. Let** the triangles ABC, DEF be on equal bases BC, EF, and between the same parallels BF, AD : then the triangle... | |
| Manitoba. Department of Education - Education - 1900 - 558 pages
...is equal to twice BA. Prove that the angle DBC is equal to onethird of the angle ABC. 5. Triangles **upon equal bases and between the same parallels are equal to one another.** If E and D are the points of trisection (nearest to A) of the sides AB, AC of a triangle, and F the... | |
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