If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second.... A Text-book of Geometry - Page 46by George Albert Wentworth - 1892 - 437 pagesFull view - About this book
| George Roberts Perkins - Geometry - 1856 - 460 pages
...XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and the included angle of the first greater than the included angle of the second, the third side of the first will be greater than the third side of the second. FIRST BOOK. In the two... | |
| George Roberts Perkins - Geometry - 1860 - 472 pages
...XXI. If two triangles have two sides of the one respectively equal to two sides of the other, and, the included, angle of the first greater than the included angle of the second, th'> third side of the first will be greater than the third side of the second. In the two triangles... | |
| John Reynell Morell - 1875 - 220 pages
...the first is larger than the angle included by the second, then the third side of the first triangle will be greater than the third side of the second. In the triangles ABC, FGH, let the angle BAC be greater than GFH, but the sides AB, AC equal EC to FG, FH, each to each.... | |
| George Albert Wentworth - Geometry - 1877 - 426 pages
...two sides of the one equal respectively to two sides of the other, but the included angle of thefirst greater than the included angle of the second, then...will be greater than the third side of the second. B E la the AAB С and ABE, let AB = AB, but Z ABO Z ABE. We are to prove A С > A E. Place the A so... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...spherical triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included...angle of the second, then the third side of the first win be greater than the third side of the second. 3. To draw an arc perpendicular to a given spherical... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...115. If two triangles hare two sides of the one equal respectively to two sides of the oiher, but the included angle of the first greater than the included angle of the second, then the third siile of the ftrsl will be greater than the third side nf the second. BDB In the AAB С and AB К,... | |
| George Albert Wentworth - Geometry - 1877 - 416 pages
...other, but the included angle (f the first greater than the included angle of the second, then 1lie third side of the first will be greater than the third side of the second. C In the A A£C and ABE, let AB = AB, BC = BE ; but Z ABO Z. ABE. We are to prove AC > A E. Place the... | |
| Robert Fowler Leighton - 1877 - 372 pages
...that when two triangles have two sides of the one respectively equal to two sides of the other and the included angle of the first greater than the included angle of the second, the third side of the first is greater than the third side of the second. 3. Show how to draw a tangent... | |
| George Albert Wentworth - 1879 - 196 pages
...spherical triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included...greater than the third side of the second. In the spherical A ABC and A'B'C, let AB = A'B',AC = AC,ZA>£A'; then is BC> B'C. If the parts are arranged... | |
| George Albert Wentworth - Geometry, Modern - 1881 - 266 pages
...115. If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included...will be greater than the third side of the second. BB В In the А ABC and ABE, let AB = AB, BC — BЕ; but ¿ABO ¿ ABE. We are to prove A С > A E.... | |
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