 | George Bruce Halsted - 1885 - 389 σελίδες
...CONCLUSION. AB + AC<A'B + AC. PROOF. AA || BC. (253. INVERSE. Equivalent triangles on the same base, and on the same side of it, are between the same parallels.) Draw CND _L AA \ meeting BA produced in D. Join A'D. 4NAC = 4ACB, (168. If a transversal cuts two parallels,... | |
 | Euclides - 1885 - 340 σελίδες
...is equal to half the trapezium. PEOP. XXXIX.— THEOREM. Equal triangles (BAC, BDC) on the same Iase (BC) and on the same side of it are between the same parallek. Dem. — Join AD. Then if AD be not parallel to BC> let AE be parallel to it, and let it... | |
 | George Bruce Halsted - 1886 - 394 σελίδες
...CONCLUSION. AB + AC < A'B + A'C. PROOF. A A' || BC. (253. INVERSE. Equivalent triangles on the same base, and on the same side of it, are between the same parallels.) Draw CND ± A A', meeting BA produced in D. Join A'D. 4NAC = £ACB, (168. If a transversal cuts two... | |
 | 1889 - 896 σελίδες
...point draw a right line parallel to a given right line. 4. Prove that equal triangles on the same base and on the same side of it are between the same parallels. 5. The sum of the four angles of any quadrilateral is equal to four right angles. 6. Prove that the... | |
 | W. H. Laverty - 1889 - 256 σελίδες
...distances of 9 of the points of division. 40. ABC, DBC are two uniform isosceles triangular laminae on the same base BC and on the same side of it. If the centre of mass of the four-sided figure A BDC is at D ; find the ratio of the areas of the two... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...the same base and on the same side of it are between the same parallels. Let ABC and DBC be equal As on the same base BC, and on the same side of it, they shall be between the same parallels. Join AD. AD shall be || to BC. For if it is not, through... | |
 | Euclid - 1890 - 442 σελίδες
.../. A ABP = A CDQ. Proposition 39. THEOREM — Triangles of equal area, which are on the same base, and on the same side of it, are between the same parallels. Let AS PAB, QAB be equal in area, and on the same side of same base AB. Assume that the || to AB, through... | |
 | Rupert Deakin - 1891 - 102 σελίδες
...can be drawn to a given straight line from a given point without it. 2. BAC and BDC are two triangles on the same base BC and on the same side of it, and the angle BAG is equal to the angle BDC. Prove that each of the vertices A and D must lie without... | |
 | Queensland. Department of Public Instruction - 1892 - 508 σελίδες
...three given lines is not less that the sum of the other two. 20 5. Equal triangles on the same base and on the same side of it are between the same parallels. 22 G. Describe a parallelogram that shall be equal to a given triangle, and have one of its angles... | |
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Equal triangles on the same base, and on the same side of it, are between the same parallels. 
