 | Euclides - 1660 - 368 pages
...another triangle (taken feverally , or together,) then is the remaining angle of the on- equall to ti~ e remaining angle of the other. In like manner , if two triangles have one angle of the one equall to one of tfieother.thenis the Aim of the remaining angles of the one triangle equall to the... | |
 | John Keill - Logarithms - 1723 - 444 pages
...are equal; which was to be demonftrated. PROPOSITION VI. ' * • • • • -. * . . " THORE iCl. If two Triangles have one Angle of the one equal to one Angle of the other; and if the Sides about the equal Angles be proportional, then the. Triangles are... | |
 | Euclid - 1728 - 236 pages
...Triangle taken together. From whence it follow?, • .- ' a. That if in one Triangle two Angles ftaken feverally or together) be equal to two Angles of another...have one Angle of the one, equal to one of the other j then is the Sum of the remaining Angles of the one Triangle, equal to the' Sum of the remaining Angles... | |
 | Euclid, Isaac Barrow - Euclid's Elements - 1732 - 436 pages
...remaining angle of the one equal to the remaining angle of the othcr In like manner, if two triangles hate one angle of the one equal to one of the other, then is the fum of the remaining angles of the one triangle equal to the fum of the remaining angles of the other.... | |
 | Euclid, John Keill - Geometry - 1733 - 444 pages
...homologous Sides are fubtcnded, are tqual j which 'was to be Semonftrated. PROPOSITION VI. THEOREM. If '-two Triangles have one Angle, of the one equal to one Angle of the other ; and if the Sides about the equal Angles be proportional^ then the Triangles are... | |
 | Euclid - Euclid's Elements - 1751 - 420 pages
...feverally, or together) then is the remaining angle of the one equal to the remaining angle of the.other. In like manner, if two triangles have one angle of the one equal to one of the other, then is the fum of the remaining angles of the one triangle equal to the fum of the remaining angles of the other.... | |
 | Euclid - Geometry - 1765 - 492 pages
...equal which are oppofite to the homologous fides. Which was to be demonftrated. PROP. VI. THE OR. . If two triangles have one angle of the one equal to one angle of the other, and tbe fides about the eqital angles proportional : tbefe triangles will he equiangular,... | |
 | Benjamin Donne - Geometry, Plane - 1775 - 338 pages
...the remaining Angle in one is equal to the remaining Angle in the other Triangle. 8 1. Co ROLL. 3. If two Triangles have one Angle of the one equal to one Angle of the other, then the Sum of the two remaining Angles of one Triangle is equal to the Sum of... | |
 | Euclid - Euclid's Elements - 1789 - 296 pages
...DEF will be equiangular with the triangle AGH (I. 7.) or ABC, as was to be fhewn. PROP. VI. THEOREM. If two triangles have one angle of the one equal to one angle of the other, and the fides about the equal angles proportional, the triangles will be equiangular.... | |
 | Euclid, John Playfair - Euclid's Elements - 1795 - 462 pages
...equiangular to the triangle DEF. Wherefore, if two triangles, &c. Q^ E. D f PROF. PROP. VII. THEO R. IF two triangles have one angle of the one equal to one angle of the other, and the fides about two other angles proportionals, then, if each of the remaining... | |
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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. 
