Search Images Maps Play YouTube News Gmail Drive More »
Sign in
Books Books
" If two triangles have two sides and the included angle in the one equal to two sides and the included angle in the other, each to each, the two triangles will be equal. "
A Treatise on Spherics: Comprising the Elements of Spherical Geometry, and ... - Page 132
by Daniel Cresswell - 1816 - 294 pages
Full view - About this book

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...arcs AFD, DGB, subtending these angles, are equal. Join AD, DB ; then the triangles ACD, BCD, having two sides and the included angle in the one, equal to two sides and the included angle in the other, are equal : so that, if ACD be applied to BCD, there shall be an entire coincidence, the point A coinciding...
Full view - About this book

Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...will 36 lines intersect, 24 of which pass through the same point? THEOREM I. If two triangles have two sides and the included angle in the one equal to two sides and the included angle in the other, the triangles will be identical, or equal in all respects. In the two triangles ABC, DEF, if the side...
Full view - About this book

Elements of Geometry and Trigonometry Translated from the French of A.M ...

Charles Davies - Trigonometry - 1849 - 372 pages
...the angle ACB, by hypothesis ;j and the side BC common : therefore, the two triangles, BDC, BAC, have two sides and the included angle in the one, equal...and the included angle in the other, each to each: hence they are equal (Prop. V.). But the part cannot be equal to the whole (Ax. 8.); hence, there is...
Full view - About this book

Elements of Geometry and Trigonometry

Adrien Marie Legendre - Geometry - 1852 - 436 pages
...diagonal DB divides the parallelogram into two equal triangles. Cor. 2. Two parallelograms which have two sides and the included angle in the one equal...and the included angle in the other, each to each, are equal. Let the parallelogram ABCD, have I) C the sides AB, AD, and the included angle BAD equal...
Full view - About this book

Elements of Geometry and Trigonometry from the Works of A.M. Legendre ...

Charles Davies - Geometry - 1854 - 436 pages
...diagonal DB divides the parallelogram into two equal triangles. Cor. •2. Two parallelograms which have two sides and the included angle in the one equal...and the included angle in the other, each to each, are equal. Let the parallelogram ABCD, have DC the sides AB, AD, and the included angle BAD equal to...
Full view - About this book

Elements of Logic: Together with an Introductory View of Philosophy in ...

Henry Philip Tappan - History - 1856 - 480 pages
...then add as a minor, " The two triangles ADB and ABC, by the contradictory, are, two triangles having two sides and the included angle in the one, equal to two sides and the included angle of the other/' Hence the conclusion, " The two triangles ADB and AB 0 are equal/' Here we assumed the...
Full view - About this book

Elements of Geometry, and Plane and Spherical Trigonometry: With Numerous ...

Horatio Nelson Robinson - Geometry - 1860 - 468 pages
...perpendiculars, we should have unequal righ angles, which is impossible. THEOREM XVI. Two triangles which have two sides and the included angle in the one, equal...and the included angle in the other, each to each, are equal in all respects. In the two A's, ABCund DEF, on the supposition that AB = DE, AC=DF, and...
Full view - About this book

Elements of Geometry and Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1862 - 518 pages
...point, are together equal to four right angles. PROPOSITION V. — THEOREM. 52. If two triangles have two sides and the included angle in the one equal...and the included angle in the other, each to each, the two triangles will be equal. In the two triangles ABC, DEF, let the side AB .be equal to the side...
Full view - About this book

Elements of Plane and Spherical Trigonometry: With Practical Applications

Benjamin Greenleaf - Geometry - 1861 - 638 pages
...equilateral. PROPOSITION XIV. — THEOREM. 549. If two triangles on the same sphere, or on equal spheres, have two sides and the included angle in the one equal...and the included angle in the other, each to each, the two triangles are equal in all their parts. In the two triangles ABC, DBF, let the side AB be equal...
Full view - About this book

Elements of Geometry: With Practical Applications to Mensuration

Benjamin Greenleaf - Geometry - 1863 - 504 pages
...equilateral. PROPOSITION XIV. — THEOREM. 549. If two triangles on the same sphere, or on equal spheres, have two sides and the included angle in the one equal...and the included angle in the other, each to each, the two triangles are equal in all their parts. In the two triangles ABC, DEF, let the side AB be equal...
Full view - About this book




  1. My library
  2. Help
  3. Advanced Book Search
  4. Download EPUB
  5. Download PDF