 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...triangles on the same base, the isosceles has the minimum perimeter. The vertices of any No. of equivt. A^ on the same base AB, and on the same side of it, lie on an indefinite st. line XY || to AB / and it can be shown by a construction and demonstration... | |
 | Rupert Deakin - Euclid's Elements - 1891 - 102 pages
...line, one on each side of the perpendicular from the given point to the given line. 2. ACB and ADB are two triangles on the same base AB and on the same side of it, and AC is equal to BD, aud AD to BC. If AD and BC intersect in E, prove that the triangle APB is isosceles.... | |
 | George Albert Wentworth - Geometry - 1896 - 296 pages
...(g154) .:/.DBC=/.DCB. (Ax. 7) .-. CD - BD, and A DEC is isosceles. (g 156) c -BC Ex. 18. ABC and ABD ara two triangles on the same base AB, and on the same...other. If AC equal AD, show that BC cannot equal BD. PROor. Since AC and AD do not coincide, one of these lines must make with AB an angle greater than... | |
 | George Albert Wentworth - Geometry - 1898 - 462 pages
...the greater £ is opposite the greater side). .-. AB is greater than AC. a. ED Ex. 18. AB0 and ABD are two triangles on the same base AB, and on the...vertex of each triangle being without the other. If AG equal AD, show that BC cannot equal BD. Ex. 19. The sum of the lines which join a point within a... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...draw HK II to BC, meeting AD at M. Then MD = PE. (Why ?) PG + PF = AM (Ex. 60). Ex. 62. ABC and ABD are two triangles on the same base AB, and on the...vertex of each triangle being without the other. If AC equals AD, show that BC cannot equal BD (§ 154). Ex. 63. The sum of the lines which join a point within... | |
 | George Albert Wentworth - Geometry - 1899 - 500 pages
...draw HK II to BC, meeting AD at M. Then MD = PE. (Why ?) ED PG + PF = AM (Ex. 60). Ex. 62. ABC and ABD are two triangles on the same base AB, and on the...vertex of each triangle being without the other. If AC equals AD, show that BC cannot equal BD (§ 154). Ex. 63. The sum of the lines which join a point within... | |
 | George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...HK II to BC, meeting AD at M. Then MD = PE. (Why ?) PG + PF = AM (Ex. 60). Ex. 62. -4BCand .dBDare two triangles on the same base AB, and on the same...vertex of each triangle being without the other. If AC equals AD, show that BC cannot equal BD (§ 154). Ex. 63. The sum of the lines which join a point within... | |
 | George Albert Wentworth - Geometry, Plane - 1899 - 278 pages
...Then MD = PE. (Why ?) PG + PF = AM (Ex. 60). Ex. 62. ABC and ABD are two triangles on the same base D AB, and on the same side of it, the vertex of each triangle being without the other. If AC equals AD, show that BC cannot equal BD (§ 154). Ex. 63. The sum of the lines which join a point within... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...likewise those which are terminated at the other extremity equal to one another. If it be possible, on the same base AB, and on the same side of it, let there be two triangles ACB, ADB in which the side AC is equal to the side AD, and also the side... | |
 | George Albert Wentworth - Geometry - 1904 - 496 pages
...draw HK II to BC, meeting AD at M. Then MD = PE. (Why ?) PG + PF = AM (Ex. 60). Ex. 62. ABC and ABD are two triangles on the same base AB, and on the...vertex of each triangle being without the other. If AC equals AD, show that BC cannot equal BD (§ 154). Ex. 63. The sum of the lines which join a point within... | |
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ABC and ABD are two triangles on the same base AB, and on the same side of it, the vertex of each triangle being without the other. If AC equals AD, show that BC cannot equal BD (§ 154). 
