 | William Nicholson - Natural history - 1809 - 716 pages
...and fundamental propositions in elementary geometry. Thus it is proved, that two triangles, having two sides of the one equal respectively to two sides of the other, and the two included angles equal, are equal in all respects ; and two triangles, having one side and the.... | |
 | William Nicholson - Arts - 1819 - 432 pages
...and fundamental propositions in elementary geometry. Thus it is proved, that two triangles, having two sides of the one equal respectively to two sides of the other, and the two included angles equal, are equal in all respects ; and two triangles, having one side and the... | |
 | George Darley - Geometry - 1828 - 190 pages
...thicken upon us in the few next pages. LESSON I. ARTICLE 1. " If there be two triangles which have hvo sides of the one equal, respectively, to two sides...likewise the angles contained by those sides equal to one another : then the bases or third sides of these triangles are also equal." ART. 2. " In such triangles... | |
 | Education - 1836 - 502 pages
...instructors to get rid of as much Greek as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the... | |
 | Schoolmaster - 1836 - 926 pages
...instructors to get rid of as much Greek as possible, and also of many superfluous phrases. For instance, " if there be two triangles which have two sides of the one equal to two sides of the other, each to each, &c." The phrase in italics is not an English idiom, but the... | |
 | Euclides - 1862 - 140 pages
...to the base. 40. To describe a triangle equal to a given quadrilateral figure. 41. If two triangles have two sides of the one equal respectively to two sides of the other, and have likewise the contained angles supplementary, the triangles are equal in area. 42. To bisect a... | |
 | William Frothingham Bradbury - Geometry - 1872 - 124 pages
...parallelogram ; E and F the middle points of AB and CD. BFand DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram... | |
 | Euclid, Charles Peter Mason - Geometry - 1872 - 216 pages
...direction. To prove the proposition by the help of the construction we must know, — 1. That if two AS have two sides of the one equal respectively to two sides of the other, and also the ^ included between the said sides in the first A equal to the ^ included between the said... | |
 | William Frothingham Bradbury - Geometry - 1872 - 262 pages
...; E and F the middle points of AB and CD. BF and DE trisect the diagonal A C. 50. If two triangles have two sides of the one equal respectively to two sides of the other, and the included angles supplementary, the triangles are equivalent. 51. The diagonals divide a parallelogram... | |
 | 1876 - 710 pages
...FIRST AND SECOND DIVISIONS. i. Define a right angle, parallel straight lines, diameter of a circle. 2. If there be two triangles which have two sides of the one equal о two sides of the other, each to each, and have their bases equal»the angle contained by the two... | |
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If two triangles have two sides of the one equal, respectively, to two sides of the other, but the included angle of the first triangle greater than the included angle of the second, then the third side of the first is greater than the third side of the... 
