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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

## The British Encyclopedia: Or, Dictionary of Arts and Sciences ..., Volume 5

William Nicholson - Natural history - 1809 - 684 pages
...19.) The greater angle of every triangle has the greater side opposite to it. S. (Prop. 4.) If two triangles have two sides of the one respectively equal to two sides of the other, and have the included angles equal, the oilier angles will be respectively equal, лл. those to which...

## The Modern Preceptor Or a General Course of Education: Containing ..., Volume 1

John Dougall - 1810 - 554 pages
...remaining side AC to the remaining side DF. 1st Corollary. From this proposition it follows that, if two triangles have two sides of the one respectively equal to two sides of the other, but the angle formed by these two sides in the one greater than the corresponding angle in the other,...

## The Elements of geometry [Euclid book 1-3] in general terms, with notes &c ...

Euclides - 1821 - 294 pages
...greater, is hilly explained in the notes of Dr. Elrington's Euclid, page, 150. PROP. 25. THEOR. ( If two triangles have two sides of the one respectively equal to two sides of the other, and if the third aids of the one be greater than the third side of the other, the angle opposite the greater...

## American Edition of the British Encyclopedia: Or, Dictionary of ..., Volume 9

William Nicholson - Natural history - 1821 - 406 pages
...19.) The greater angle of every triangle has the greater side opposite to it. 3. (Prop. 4.) If two triangles have two sides of the one respectively equal to two sides of the other, and have the included angles equal, the other angles will be respectively equal, viz. those to which the...

## An Elementary Treatise on the Application of Trigonometry: To Orthographic ...

John Farrar - Electronic book - 1822 - 153 pages
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they have two sides of the one respectively equal to two sides of the other, and one side common. Consequently mSm' = mEm'. Therefore, since these tangents make the same angle with...

## An Elementary Treatise on the Application of Trigonometry to Orthographic ...

John Farrar - Logarithms - 1822 - 153 pages
...projections, mm' being joined, the two triangles Smm', Emm', will be equal in all respects, since they have two sides of the one respectively equal to two sides of the other, and one side common. Consequently mSm' = mEm'. Therefore, since these tangents make the same angle with...

## The First Six Books with Notes

Euclid - 1822 - 179 pages
...equal sides DF and EA are equal (2). Fi.I. 38 SeaN. PROP. XXIV. THEOR. If two triangles (EFD, BAC) have two sides of the one respectively equal to two sides of th^other, ( FE to AB, and FB to AC), and if one of the angles (BAC) contained by the equal sides be...

## Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 266 pages
...EF, the base BC is greater also than the base EF. Wherefore, if two triangles, &c. QE I). Cor. If two triangles have two sides of the one respectively, equal to two sides of the other, but the base of the one greater than the base of the other, the angle contained by the two sides of...