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Livros Livros 1 - 10 de 21 sobre ... proves the proposition. The lines drawn from the angles of a triangle perpendicular....
" ... proves the proposition. The lines drawn from the angles of a triangle perpendicular to the opposite sides meet in a point. The equation to BC is, (Art. 35), hence the equation to the line through A perpendicular to BC is, (Art. 44), y The equation... "
A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ... - Página 50
de Isaac Todhunter - 1862 - 326 páginas
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Problems in the Different Branches of Philosophy: Adapted to the Course of ...

Miles Bland - 1830 - 374 páginas
...area of the triangle ; determine the remaining sides and angles. 54. Having given the lengths of three lines drawn from the angles of a triangle, perpendicular to the opposite sides ; determine the sides and angles. 55. Having given the three angles of a triangle, and the radius of...
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Calendar

University of Sydney - 1853
...the expansion of Find the term not involving x in the expansion of 1 ' B. 5. Show that the straight lines drawn from the angles of a triangle perpendicular to the opposite sides meet in a point. 6. Describe an isosceles triangle having each of the angles at the base double the third angle. Hence...
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A treatise on plane co-ordinate geometry

1855 - 299 páginas
...(2x - a) (x' - 2o) ; .-. 3ax = a (x' + a) ; Substitute this value of x in (2) and we find y = y'. 9 3 We have thus determined the co-ordinates of the point...line through A perpendicular to BC is, (Art. 44), The equation to AC is r hence the equation to the line through B perpendicular to AC is (5)The line...
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A treatise on plane co-ordinate geometry

Isaac Todhunter - 1855 - 299 páginas
...(2ic — a) (x — 2a) ; .'. 3ax = a(x +a) ; Substitute this value of x in (2) and we find y' y=BWe have thus determined the co-ordinates of the point...line through A perpendicular to BC is, (Art. 44), y The equation to AC is ... (4). hence the equation to the line through B perpendicular to AC is The...
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An elementary treatise on plane trigonometry

Richard Dunkley Beasley - 1858
...in D so that AD :BD=CB: CA. Shew that 96. If tan"1 x + I sec"1 5x = 45°, then x=±\, À О 97. If the lines drawn from the angles of a triangle perpendicular to the opposite sides meet in a point whose distances from the three angles are p, q, r, respectively, then the area of the triangle is -(pa...
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A treatise on plane and spherical trigonometry, and on trigonometrical ...

John Hymers - 1858
...is fulfilled, are exactly the same as for plane triangles, as we shall now shew. 17. The three arcs drawn from the angles of a triangle perpendicular to the opposite sides, or bisecting the angles or opposite sides, or meeting the opposite sides in the points where they are...
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Spherical trigonometry

Isaac Todhunter - 1859
...cos B , cos C cos.Z?'cosC" cos ^4 cos (7' cos .4 cos 5' 8. If p, q, r be the arcs of great circles drawn from the angles of a triangle perpendicular to the opposite sides, (a, a'), (ft, {?), (y, y') the segments into which these arcs are divided, shew that tan a tan a' =...
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A treatise on plane co-ordinate geometry

Isaac Todhunter - 1862
...line represented by (1) passes through the intersection of the lines represented by (2) and (3), whic. proves the proposition. The lines drawn from the angles of a triangle perpendicula' to the opposite sides meet in a point. The equation to BC is (Art.. 35) hence the equation...
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Spherical Trigonometry: For the Use of Colleges and Schools

Isaac Todhunter - 1863 - 132 páginas
...ta.nOF are respectively equal to cos A cos B . cos C . * 8. If p, q, r be the arcs of great circles drawn from the angles of a triangle perpendicular to the opposite sides, (a, a), (/?, /?), (y, y') the segments into which these arcs are divided, shew that tan a tan a' =...
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An easy introduction to the higher treatises on the conic sections. [With] Key

John Hunter (of Uxbridge.) - 1866
...=2*;, and the difference of the angles at the base is 30°. Find the locus of the vertex. 12. Shew that the lines drawn from the angles of a triangle perpendicular to the opposite sides meet at a point ; and that the locus of that point, for all equal triangles on the same base, is a parabola...
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