 | 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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Triangles upon equal bases, and between the same parallels, are equal to one another. 
