 | John Martin Frederick Wright - Mathematics - 1825 - 798 pages
...between two given lines geometrically. 11. The centre of the circle circumscribed about any triangle, the point of intersection of the perpendiculars let fall from the angular points of the same triangle to the opposite sides, and the point of intersection of the lines joining the angular... | |
 | John Martin Frederick Wright - 1827 - 358 pages
...between two given lines geometrically. 11. The centre of the circle circumscribed about any triangle, the point of intersection of the perpendiculars let fall from the angular points of the same triangle to the opposite sides, and the point of intersection of the lines joining the angular... | |
 | John Martin F. Wright - 1827 - 632 pages
...between two given lines geometrically. 11. The centre of the circle circumscribed about any triangle, the point of intersection of the perpendiculars let fall from the angular points of the same triangle to the opposite sides, and the point of intersection of the lines joining the angular... | |
 | Robert Potts - 1855 - 1050 pages
...equation 3y* - 8xy - 8** = 0 represents wo straight lines, and find the angle between them. Ex. The three perpendiculars let fall from the angular points of a triangle on the opposite sides all meet in a point. 4. Shew that two tangents can always he drawn to a circle from an external point... | |
 | Cambridge univ, exam. papers - 1856 - 200 pages
...equations, referred to rectangular axes, are given, shall be perpendicular to each other. Prove that the perpendiculars let fall from the angular points of a triangle on the opposite sides meet in a point. Ststu:d Srim:rs Crips. Examiners: PROF. BOND, MD Corpus Christi College. PROF. CLARK,... | |
 | Robert Henry Wright - Coordinates, Trilinear - 1865 - 174 pages
...property of No. 11 may be applied to this theorem. 32. The three points of intersection, viz. (1) the intersection of the perpendiculars let fall from the angular points of a triangle upon the opposite sides, (2) the intersection of the lines which join the angular points with the bisections... | |
 | Benjamin Hallowell - Geometry - 1872 - 286 pages
...ill. 21. DEMONSTRATION THEOREM XY. — The three perpendiculars, or these perpendiculars produced, let fall from the angular points of a triangle on the opposite sides, produced if necessary, will all intersect in a common point, as 0. FIG. 2. FIG. 1. Demonstration. —... | |
 | Association for the improvement of geometrical teaching - Geometry, Plane - 1889 - 40 pages
...middle points of the opposite sides (the MEDIANS) meet in a point (the CENTEOID). 5 The perpendiculars from the angular points of a triangle on the opposite sides (the ALTITUDES) meet in a point (the ORTHOCENTRE). 7 If a transversal meet the sides BC, CA, AB of a triangle... | |
 | Isaac Joachim Schwatt - Ellipse - 1895 - 70 pages
....AT" (Fig. 15, Plate 2), is isogonal conjugate to the point at infinity on Brocard's diameter. N is the point of intersection of the perpendiculars let fall from the angular points of the triangle ABC to the sides BiCi, A,Ci, and A,B, of Brocard's triangle. It is easy to see that N... | |
 | Almanacs, English - 1852 - 492 pages
...C,C.,C.,, it is at once evident, from what has ju>t been done, that C4, the fourth radical centre, is the point of intersection of the perpendiculars let fall from the angular points of the triangle C[C2C3 on the opposite sides, and further that the feet of these perpendiculars are the... | |
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... 8 right angles. 10. Represent the arithmetic, geometric, and harmonic means, between two given lines geometrically. 11. The centre of the circle circumscribed about any triangle, the point of intersection of the perpendiculars let fall from the angular... 