Libros Libros 51 - 60 de 183 sobre C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides... C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. A Treatise of Practical Surveying, ... - Página 94
por Robert Gibson - 1808 - 440 páginas
Vista completa - Acerca de este libro ## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...demonstrated that AB : BC = sin C : sin A. PROPOSITION VI. THEOREM. The sum of two sides of a triangle is to their difference as the tangent of half the sum of me angles at the base to the tangent of half their difference. Let ABC be any triangle, then if B and...
Vista completa - Acerca de este libro ## Elements of Trigonometry, Plane and Spherical: Adapted to the Present State ...

Charles William Hackley - 1838 - 307 páginas
...tan £ (A -f- B) : tan \ (A — B) That is to say, the sum of two of the sides of a plane triangle is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference. This proportion is employed when two sides...
Vista completa - Acerca de este libro ## A Course of Mathematics: Containing the Principles of Plane ..., Volúmenes1-3

Jeremiah Day - 1838
...therefore, from the preceding proposition, (Alg. 389.) that the sum of any two sides of a triangle, is to their difference ; as the tangent of half the sum of the opposite angles, to the tangent of half their difference. This is the second theorem applied to the...
Vista completa - Acerca de este libro ## The Theory and Practice of Surveying: Containing All the Instructions ...

Robert Gibson, James Ryan - 1839 - 412 páginas
...ike rtum of Ijte two given sides AB and BC, including a given angle ARC, it to their difference aa the tangent of half the sum of the two unknown angles A and C is lathe tangent of half their difference. Produce AB, and make HB=BC, and join HCi let fall th« perpendicular...
Vista completa - Acerca de este libro ## Elements of Surveying: With a Description of the Instruments and the ...

Charles Davies - 1839 - 261 páginas
...AC :: sin C : 'sin B. THEOREM II. In any triangle, the sum of the two sides containing eithei angle, is to their difference, as the tangent of half the sum of the two other angles, to the tangent of half their difference. 53. Let ACB be a triangle : then will AB+AC:...
Vista completa - Acerca de este libro ## A Course of Mathematics: Containing the Principles of Plane ..., Partes2-4

Jeremiah Day - 1839 - 370 páginas
...THE OPPOSITE ANGLES J To THE TANGENT OF HALF THEIR DIFFERENCE. Thus, the sum of AB and AC, (Fig. 25.) is to their difference ; as the tangent of half the sum of the angles ACB and ABC, to the tangent of half their difference. Demonstration. Extend CA to G, making...
Vista completa - Acerca de este libro ## An introduction to the theory ... of plane and spherical trigonometry ...

Thomas Keith - 1839
...double their opposite angles. PROPOSITION IV. (115) In any plane triangle, the sum of any two sides is to their difference, as the tangent of half the sum of their opposite angles is to the tangent of half their difference, Let ABC be any triangle ; make BE...
Vista completa - Acerca de este libro ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 páginas
...BC is parallel to FG, CE : CF : : BE ; BG, (2. 6.) that is, the sum of the two sides of the triangle ABC is to their difference as the tangent of half the sum of the angles opposite to those sides to the tangent of half their difference. PROP. V. THEOR. If a perpendicular...
Vista completa - Acerca de este libro ## A Treatise on Plane and Spherical Trigonometry: Including the Construction ...

Enoch Lewis - 1844 - 228 páginas
...to any radius whatever (Art. 27). QED ART. 30. In any right lined triangle, the sum of any two sides is, to their difference, as the tangent of half the sum of the angles, opposite to those sides, to the tangent of half their difference. Let ABC be the triangle;...
Vista completa - Acerca de este libro ## A Series on Elementary and Higher Geometry, Trigonometry, and Mensuration ...

Nathan Scholfield - 1845
...a sin. B sin. A c sin. C sin. B b PROPOSITION III. In any plane triangle, the sum of any two sides, is to their difference, as the tangent of half the sum of the angles opposite to them, is to the tangent of half their difference. Let ABC be any plane triangle,...
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