| Charles Hutton - 1843
...proposition, and in this respect analogous to what takes place in rectilinear co-ordinates. To express **the area of a triangle in terms of the polar co-ordinates of** the three angles. д J)EXOTE the co-ordinates of the angles А, В, С, by (г, в|), fri 8J, (r, ej,... | |
| Isaac Todhunter - 1855 - 299 páginas
...whose polar co-ordinates are (1) 0=-, r = 3; (2) 0 = — J , r = 3; (3) 0 = 1, r = —3; (4) *=—f , **r = —3; and indicate the points in a figure. 3....directly from the figure. 7. A and B are two points and** O is the origin ; express the1 area of the triangle A OB in terms of the co-ordinates of A and B, and... | |
| 1855 - 299 páginas
...points whose polar co-ordinates are (1) 0=, r = 3; (2) 0 = -, r = 3 ; (3) 0 = ^, r = -3; (4) 0=-, r^-3; **and indicate the points in a figure. 3. The co-ordinates...directly from the figure. 7. A and B are two points and** O is the origin ; express the area of the triangle A OB in terms of the co-ordinates of A and B, and... | |
| EDUCATION SOCIETY'S PRESS, CULLA - 1860
...height of a mountain, the top of which ia just visible at sea, at a distance of 36 miles. 6. Deduce **an expression for the area of a triangle in terms of the** sides. 7. The straight line bisecting the angle between the focal distance of any point of a parabola,... | |
| Isaac Todhunter - 1862
...of the abscissa of A and the ordinate of B ; shew 6. Transform equation (2) of Art. 11 so as to give **expression for the area of a triangle in terms of...of the triangle A OB in terms of the co-ordinates** o£ A and B, and also in terms of the polar co-ordinates of -4 and B. 8. A, B, C are three points the... | |
| William Thomas Read - 1862
...Andtan4= cos A ^s^g = / S . (S — «) These two are also adapted to logarithms. Proposition V. To find **an expression for the area of a triangle in terms of the** sides. Let ABC be a triangle, it is required to find an expression for its area. Kg. 9. C The area... | |
| Benjamin Theophilus Moore - 1863 - 278 páginas
...between P and P"' in the figure of Art. 17. Here and, by the formula, =4(#2 +J/2), as before. 19. To find **an expression for the area of a triangle in terms of the** coordinates of its angular points. Let ABC be any triangle, OX, OY axes of coordinates. Let xI, y,,... | |
| Thomas Kimber - 1865 - 192 páginas
...cos. A sin. B¡ and deduce formulae for sin. (A — B), cos. (A + B), and cos. (A - B). 6. To find **an expression for the area of a triangle in terms of the** sides, in a form adapted to logarithmic computation. (Oct. 28iA.— The Rev. JWL HEAVISIDE.) 7. What... | |
| Isaac Todhunter - 1866 - 192 páginas
...will contain some miscellaneous propositions chiefly relating to properties of triangles. 133. To find **an expression for the area of a triangle in terms of the** sides. If 6 and c denote two sides of the triangle, and A the included angle, the area is £ be sin... | |
| Euclid - 1868
...o'"x", and similarly for the other sides, therefore, ss — c = r r". PROPOSITION G. To investigate **an expression for the area of a triangle in terms of the** segments of the sides, and also in terms of the radii of the inscribed and exscribed circles. By multiplying... | |
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