A Treatise On Trilinear Co-Ordinates, Intended Chiefly for the Use of Junior Students
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In our eReader you can find the full English version of the book. Read A Treatise On Trilinear Co-Ordinates, Intended Chiefly for the Use of Junior Students 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 A Treatise On Trilinear Co-Ordinates, Intended Chiefly for the Use of Junior Students
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If (oo, /3o, yo) be any point, its distance from the curve in any direction is determined by the quadratic 0(x,^,O^+(S)<.o o.="" expression="" for="" the="" radius="" of="" a="" given="" circle.="" if="" therefore="" jsq="" yo="" middle="" point="" chord="" system="" we="" must="" have="" f="" hence=""> To) li^s on the right line whose equation is S)"+(g)^+(?)-«- (205) this therefore is the equation of the diameter or locus of middle points. ^ CoE. I. Hence is the equation of the diameter which is conjugate to a — a_ ^— /3 _ y — 7 _ H' (206) (207) CoE. II. Its direction-cosines being formed as in Art. 40, we may write the equation of the diameter which is conjugate to a ...<.o o.="" expression="" for="" the="" radius="" of="" a="" given="" circle.="" if="" therefore="" jsq="" yo="" middle="" point="" chord="" system="" we="" must="" have="" f="" hence="">— a jS — /3 y — y = r, (208) in the symmetrical form a — a /3-^ y — y h, c ld(p\ fdcj)\ \dfij' \dv J c, a /d(j)\ fdcjA \dv j' \dxj a, b fdxf\ fdcp\ \dxj' KdfiJ (209) CoE. III. Again, it follows from Art. 157, that two straight lines, whose equations are of the form la + m^ -{■ ny = (210) 86 TRILINEAR CO-ORDINATES.
What to read after A Treatise On Trilinear Co-Ordinates, Intended Chiefly for the Use of Junior Students?
You can find similar books in the "Read Also" column, or choose other free books by Price, Charles James Coverley to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If (oo, /3o, yo) be any point, its distance from the curve in any direction is determined by the quadratic 0(x,^,O^+(S)<.o o.="" expression="" for="" the="" radius="" of="" a="" given="" circle.="" if="" therefore="" jsq="" yo="" middle="" point="" chord="" system="" we="" must="" have="" f="" hence=""> To) li^s on the right line whose equation is S)"+(g)^+(?)-«- (205) this therefore is the equation of the diameter or locus of middle points. ^ CoE. I. Hence is the equation of the diameter which is conjugate to a — a_ ^— /3 _ y — 7 _ H' (206) (207) CoE. II. Its direction-cosines being formed as in Art. 40, we may write the equation of the diameter which is conjugate to a ...<.o o.="" expression="" for="" the="" radius="" of="" a="" given="" circle.="" if="" therefore="" jsq="" yo="" middle="" point="" chord="" system="" we="" must="" have="" f="" hence="">— a jS — /3 y — y = r, (208) in the symmetrical form a — a /3-^ y — y h, c ld(p\ fdcj)\ \dfij' \dv J c, a /d(j)\ fdcjA \dv j' \dxj a, b fdxf\ fdcp\ \dxj' KdfiJ (209) CoE. III. Again, it follows from Art. 157, that two straight lines, whose equations are of the form la + m^ -{■ ny = (210) 86 TRILINEAR CO-ORDINATES.
What to read after A Treatise On Trilinear Co-Ordinates, Intended Chiefly for the Use of Junior Students?
You can find similar books in the "Read Also" column, or choose other free books by Price, Charles James Coverley to read onlineMoreLess
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