 | Euclid - Geometry - 1845 - 218 pages
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides...angles contained by those sides equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the... | |
 | Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...to them, viz. the angle ABC to the angle DEF, and the angle ACB to the angle DFE. Therefore, if two triangles have two sides of the one equal to two sides...angles contained by those sides equal to one another ; their bases shall be equal, and their areas shall be equal, and their other angles, to which the... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...greater of two str. lines, a part AE has been cut off= C, the less. PROP. IV. THEOR. 4. 1 Eu. If two triangles have two sides of the one, equal to two...angles contained by those sides equal to one another ; they shall likewise have their bases, or third sides, equal, and the two triangles shall be equal;... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...greater of two str. lines, a part AE has been cut off = C, the less. PROP. IV. THEOR. 4. 1 Eu. If two triangles have two sides of the one, equal to two...angles contained by those sides equal to one another ; they shall like-wise have their bases, or third sides, equal, and the two triangles shall be equal;... | |
 | Euclides - 1848 - 52 pages
...greater of two given straight lines, to cut off a part equal to the less. PROP. IV. THEOREM. If two triangles have two sides of the one equal to two sides...angles contained by those .sides equal to one another ; they shall likewise have their bases, or third sides, equal ; and the two triangles shall be equal... | |
 | Euclid, Thomas Tate - 1849 - 120 pages
...lines, a part AE has been cut off equal to c the less. Which was to be done. PROP. IV. THEOREM. If two triangles have two sides of the one equal to two sides...angles contained by those sides equal to one another; they shall likewise have their bases, or third sides, equal; and the two triangles shall be equal;... | |
 | Edward Adolphus Seymour (11th duke of Somerset.) - 1851 - 84 pages
...because the angles OVK and IVY -are vertical angles, they are equal Therefore the triangles KVO and IVY have two sides of the one equal to two sides of the...angles contained by those sides equal to one another. Wherefore, by the 4th Proposition of the First Book of ELEMENTS, the two triangles are equal, and the... | |
 | Euclides - 1852 - 152 pages
...be equal to them, viz. the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides...angles contained by those sides equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...be equal to them, viz., the angle ABC to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides...angles contained by those sides equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the... | |
 | Euclides - 1853 - 146 pages
...viz. G. The angle ABC shall be equal to the angle DEF, and the angle ACB to DFE. Therefore, if two triangles have two sides of the one equal to two sides...angles contained by those sides equal to one another, their bases shall likewise be equal, and the triangles be equal, and their other angles to which the... | |
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IF two triangles have two sides of the one equal to two sides of the other, each to each ; and have likewise the angles contained by those sides equal to one another ; they shall likewise have their bases, or third sides, equal ; and the two triangles... 
