 | Charles Davies - Geometry - 1886 - 340 pages
...the equal parts will coincideTHEOREM VIf two triangles have two angles and the included side of tne one, equal to two angles and the included side of the other, each to fach, the two triangles will be equalLet the two triangles ABC and DEF have the angle A equal to the... | |
 | Charles Davies - Geometry - 1854 - 436 pages
...the side EF—BC, the angle E=B, and the angle F~C. BOOK I. PROPOSITION VI. THEOREM. If two triangles have two angles and the included side of the one,...and the included side of the other, each to each, the two triangles will be equal. Let EDF and .BAC be two triangles, having the angle E equal to the... | |
 | Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...the fundamental principles of Geometry have been proved : thus, it is proved, that if two triangles have two angles and the included side of the one,...and the included side of the other, each to each, they will be equal. It is also proved, by the method of application, that the diameter of a circle... | |
 | Charles Davies - Geometry - 1855 - 340 pages
...equal : for if applied the one to the other, the equal parts will coincideTHEOREM VIf two triangles have two angles and the included side of the one,...and the included side of the other, each to each, the two triangles will be equalLet the two triangles ABC and DEF have the angle A equal to the angle... | |
 | Adrien Marie Legendre, Charles Davies - Geometry - 1857 - 442 pages
...viz., the side EF=BC, the angle U=B, and the angle F—C. PROPOSITION VI. THEOREM. y two triangles have two angles and the included side of the one,...to two angles and the included side of the other, eaoh to each, the two triangles will be equal. Let EDF and BAC be two triangles, having the angle E... | |
 | Elias Loomis - Conic sections - 1857 - 242 pages
...to the angle AGE (Prop. V.) ; and, by construction, BG is equal to GA ; hence the triangles BGF, AGE have two angles and the included side of the one,...equal to two angles and the included side of the other ; they are, therefore, equal (Prop. VII.) ; and the angle BFG is equal to the angle AEG. But AEG is,... | |
 | Elias Loomis - Conic sections - 1858 - 256 pages
...to the angle AGE (Prop. V.) ; and, by construction, BG is equal to GA ; hence the triangles BGF, AGE have two angles and the included side of the one,...equal to two angles and the included side of the other ; they are, therefore, equal (Prop. VII.) ; and the angle BFG is equal to the angle AEG. But AEG is,... | |
 | William E. Bell - Bridge building - 1857 - 250 pages
...their whole extent, and b'e therefore equal. (As. 13.) Proposition IX. Theorem. • When tteo triangles have two angles and the included side of the one, equal to two angles and the included tide of the other, each to each, the two triangles are equal. In the triangles ABC and DEF, let the... | |
 | William E. Bell - Bridges - 1859 - 226 pages
...throughout their whole extent, and be therefore equal. (Ax. 13.) Proposition IX. Theorem. When two triangles have two angles and the included side of the one, equal to two angles and the included tide of the other, each to each, the two triangles are equal. 1n the triangles ABC and DEF, let the... | |
 | Evan Wilhelm Evans - Geometry - 1862 - 116 pages
...construction. Therefore, BG is greater than EF. Hence, if two triangles, etc. THEOREM XL Tf iwo triangles have two angles and the included side of the one equal...and the included side of the other, each to each, they are equal throughout. Let ABC, DEF, be two triangles having the angles A and B respectively equal... | |
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If two triangles have two angles and the included side of the one, equal to two angles and the included side of the other, each to each, the two triangles will be equal. 
