Manual of Geometry And Conic Sections, With Applications to Trigonometry And Mensuration
Manual of Geometry And Conic Sections, With Applications to Trigonometry And Mensuration
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In our eReader you can find the full English version of the book. Read Manual of Geometry And Conic Sections, With Applications to Trigonometry And Mensuration 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 Manual of Geometry And Conic Sections, With Applications to Trigonometry And Mensuration
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To quickly assess the difficulty of the text, read a short excerpt:
Proposition XII. Theorem.
An ellipse is symmetrical with respect to both of its axes.
Let P be any point of the ellipse whose foci are F and F', whose transverse axis is AO, and whose conjugate axis is D£.
Let the part APO be revolved about AO through a half revolution ; P, will fall on the perpendicular PP', making HP' equal to HP, FP will fall on FP',and FT on FT; consequently, FF + FT' is equal to FP + FT, or to AO ; hence, P' is a point of the curve, (P. 11, Cor.), that is, for every point ...P there is a second point P', such that the line joining them is perpen- CONIC SECnOKB.
dicalar to^ and is bisected by, the transyerse axis. Again, let the part DPB be revolved about DE through a half revolution ; P will &11 on the perpendicular PQ, making KQ equal to KP, P will faU on F, the line FP will fall on P'Q, and the angle OPP on the angle OP'Q ; hence, the triangles FFT and FF'Q are equal in all their parts, and consequently, Q is a point of the curve, that is, for every point P, there is a second point Q, such that the line joining them is perpendicular to, and is bisected by, the con- jugate axis.
What to read after Manual of Geometry And Conic Sections, With Applications to Trigonometry And Mensuration?
You can find similar books in the "Read Also" column, or choose other free books by William G William Guy Peck to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Proposition XII. Theorem.
An ellipse is symmetrical with respect to both of its axes.
Let P be any point of the ellipse whose foci are F and F', whose transverse axis is AO, and whose conjugate axis is D£.
Let the part APO be revolved about AO through a half revolution ; P, will fall on the perpendicular PP', making HP' equal to HP, FP will fall on FP',and FT on FT; consequently, FF + FT' is equal to FP + FT, or to AO ; hence, P' is a point of the curve, (P. 11, Cor.), that is, for every point ...P there is a second point P', such that the line joining them is perpen- CONIC SECnOKB.
dicalar to^ and is bisected by, the transyerse axis. Again, let the part DPB be revolved about DE through a half revolution ; P will &11 on the perpendicular PQ, making KQ equal to KP, P will faU on F, the line FP will fall on P'Q, and the angle OPP on the angle OP'Q ; hence, the triangles FFT and FF'Q are equal in all their parts, and consequently, Q is a point of the curve, that is, for every point P, there is a second point Q, such that the line joining them is perpendicular to, and is bisected by, the con- jugate axis.
What to read after Manual of Geometry And Conic Sections, With Applications to Trigonometry And Mensuration?
You can find similar books in the "Read Also" column, or choose other free books by William G William Guy Peck to read onlineMoreLess
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