| Charles Davies, Adrien Marie Legendre - Geometry - 1885 - 538 pages
...be greater nor less than D : hence, it must be equal to it. The two triangles have, therefore, two **sides and the included angle of the one equal to two...and the included angle of the other, each to each** ; and, consequently, they are equal in all respects (PV) ; which was to be proved. Scholium. In triangles,... | |
| William John M'Clelland - 1885 - 182 pages
...of which being supposed greater than the third}. (Cf. Euc. I. xxii.) (7). If two triangles have two **sides and the included angle of the one equal to two...and the included angle of the other, each to each,** the triangles are equal in every respect. For, since two sides of given length intersecting at a given... | |
| James Wallace MacDonald - Geometry - 1889 - 80 pages
...is less. Proposition XXVI. A Theorem. 63. If two triangles have two sides and the included angle of **one equal to two sides and the included angle of the other, each to each,** the other homologous parts are also equal, and the triangles are equal. Proposition XXVII. A Theorem.... | |
| James Wallace MacDonald - Geometry - 1894 - 76 pages
...is less. Proposition XXVI. A Theorem. 63. If two triangles have two sides and the included angle of **one equal to two sides and the included angle of the other, each to each,** the other homologous parts are also equal, and the triangles are equal. Proposition XXVII. A Theorem.... | |
| Seth Thayer Stewart - Geometry, Modern - 1891 - 428 pages
...are equal. Construction : Draw the chords 3 4 and 5 6. Demonstration : I. The triangles 134 and 256, **having two sides and the included angle of the one...and the included angle of the other, each to each,** are equal in all their parts. 3 4 and 5 6 are, then, equal, and, being equal chords, the arcs 3 4 and... | |
| Seth Thayer Stewart - Geometry, Modern - 1891 - 422 pages
...lines, and it is, therefore, the required triangle. PROPOSITION I. Theorem : // two triangles have two **sides and the included angle of the one equal to two...and the included angle of the other, each to each,** they are equal in all their parts. Statement : Let the two triangles 123 and 456 have the side / 2... | |
| Seth Thayer Stewart - Geometry - 1891 - 428 pages
...therefore, the required triangle. PROPOSITION I. 122. Theorem : // two triangles have two sides <ind **the included angle of the one equal to two sides and the included angle of the other, each to each,** they are equal in all their parts. Statement : Let the two triangles 123 and 456 have the side / 2... | |
| Thomas J. Foster - Coal mines and mining - 1891 - 444 pages
...are equal. 4. If two angles have their sides parallel they are equal. 5. If two triangles have two **sides and the included angle of the one, equal to two sides and the included angle** of the other, they are equal in all their parts. If two triangles have two angles and the included... | |
| Seth Thayer Stewart - Geometry - 1891 - 426 pages
...and it is, therefore, the required triangle. PROPOSITION I. 122. Theorem : // two triangles have two **sides and the included angle of the one equal to two sides and the included** anyle of the other, each to each, they are equal in all their parts. Statement : Let the two triangles... | |
| Ephraim Hunt - Geometry - 1894 - 118 pages
...points. The angles opposite the equal sides are equal. Therefore, CASE I. When two triangles have two **sides and the included angle of the one equal to two...and the included angle of the other, each to each,** the remaining parts are equal, each to each, and the triangles are equal. Make any A ABC. Extend the... | |
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