Geometrical Conics Including Anharmonic Ratio And Projection, With Numerous Examples
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In our eReader you can find the full English version of the book. Read Geometrical Conics Including Anharmonic Ratio And Projection, With Numerous Examples Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Geometrical Conics Including Anharmonic Ratio And Projection, With Numerous Examples
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85. The area of the triangle formed by three tangents to a parabola is equal to half the area of the triangle formed by joining the points of contact.
86. PQ is any chord of a parabola cutting the axis in L ; R, E are the two points in the parabola at which this chord subtend a right angle. If RE be joined, meeting the axis in L\ then LL' wUl be equal to the latus rectum.
87. The area included between any two focal radii 8P, 8Q is equal to one-half of that included between the curve, the direct...rix, and the perpendiculars upon It from P, Q.
88. If PQ be a chord of a parabola, normal at P, and T the point in which the tangents at P, Q intersect, then PQ:PT^PN:AN, where PN is the ordinate of P.
89. Prove also that PQ .AN= iSP. 8Y.
90. If PQ, PK be chords of a parabola, PQ being normal at P, and PK equally inclined to the axis with PQ, the angle PKQ win be a right angle.
91. A parabola touches one side of a triangle in Its middle point, and the other two sides produced. Prove that the per- pendiculars drawn from the angles of the triangle upon any tangent to the parabola are in harmonical progression.
What to read after Geometrical Conics Including Anharmonic Ratio And Projection, With Numerous Examples?
You can find similar books in the "Read Also" column, or choose other free books by Charles Taylor to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
85. The area of the triangle formed by three tangents to a parabola is equal to half the area of the triangle formed by joining the points of contact.
86. PQ is any chord of a parabola cutting the axis in L ; R, E are the two points in the parabola at which this chord subtend a right angle. If RE be joined, meeting the axis in L\ then LL' wUl be equal to the latus rectum.
87. The area included between any two focal radii 8P, 8Q is equal to one-half of that included between the curve, the direct...rix, and the perpendiculars upon It from P, Q.
88. If PQ be a chord of a parabola, normal at P, and T the point in which the tangents at P, Q intersect, then PQ:PT^PN:AN, where PN is the ordinate of P.
89. Prove also that PQ .AN= iSP. 8Y.
90. If PQ, PK be chords of a parabola, PQ being normal at P, and PK equally inclined to the axis with PQ, the angle PKQ win be a right angle.
91. A parabola touches one side of a triangle in Its middle point, and the other two sides produced. Prove that the per- pendiculars drawn from the angles of the triangle upon any tangent to the parabola are in harmonical progression.
What to read after Geometrical Conics Including Anharmonic Ratio And Projection, With Numerous Examples?
You can find similar books in the "Read Also" column, or choose other free books by Charles Taylor to read onlineMoreLess
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