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If two triangles have two sides of the one equal respectively to two sides of the other, but the included angle of the first greater than the included angle of the second, then the third side of the first is greater than the third side of the second....
Plane and Solid Geometry: To which is Added Plane and Spherical Trigonometry ... - Page 28
by George Roberts Perkins - 1856 - 235 pages

## An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1841 - 186 pages
...AB would by § J5J_and the preceding demonstration, be equal to or less than AC. 63. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, and if the included angle of the first triangle is greater than the included angle of the second triangle,...

## Elements of Geometry: On the Basis of Dr. Brewster's Legendre : to which is ...

James Bates Thomson - Geometry - 1844 - 237 pages
...AG from one side, and its equal AB from the other, there will remain GC<BC, or EF<BC. Hence, If two triangles have two sides of the one respectively equal to two sides of the other, while the included angle of the one is greater than the included angle of the other, then will the...

## The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - Geometry - 1845 - 380 pages
...from the vertex of a triangle to the point of bisection of the base, bisects the triangle ; ana if two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles (I. def. 38) supplemental, the triangles are equal. * lt follows from the first corollary...

## An Elementary Treatise on Plane and Solid Geometry

Benjamin Peirce - Geometry - 1847 - 150 pages
...AB would by § 61 and the preceding demonstration, be equal to or less than AC. 63. Theorem. If two triangles have two sides of the one respectively equal to two sides of the other, and if die included angle of the first triangle is greater than the included angle of the second triangle,...

## Medical Times, Volume 23

1851
...and B. 6. Solve the following equations: — Sx+1 Sx-1 2г + 5 (1.) (2.) xl x -t-1 2xt-1 7. If two triangles have two sides of the one respectively equal to two sides of the other, and the contained angles equal, prove that the triangles will be equal in every respect. 8. The square constructed...

## The Elements of Euclid [book 1] for beginners, by J. Lowres

Euclides - 1852
...(Prop. 19.) ; but DG is equal to A c, therefore DF is greater than A c. WWD PBOP. XXV. THEOE. If two triangles have two sides of the one respectively equal to two sides of the other, and if the base of one be greater than the base of the other ; the angle opposite to the greater base is...

## The Elements of Euclid: With Many Additional Propositions ..., Part 1

Euclid - Geometry - 1853 - 136 pages
...to be by the " reductio ad absurdum." PROPOSITION VIII. THEOREM. — If two triangles (ABC and DEF) have two sides of the one respectively equal to two sides of the other (AB and AC to DE and DF), and have aho their bases equal (BC to EF), then the angles (A and D) formed...

## The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Book 1

Euclides - Geometry - 1853 - 334 pages
...been cut off equal to c the less. Which was to be done. PEOP. IV. THEOEEM. ' If two triangles have (1) two sides of the one respectively equal to two sides of the other ; (2) the angle included by the two sides of the one equal to the angle included by the two sides of...