Quarterly Journal of Science Literature And the Arts, volume 19
Quarterly Journal of Science Literature And the Arts, volume 19
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In our eReader you can find the full English version of the book. Read Quarterly Journal of Science Literature And the Arts, volume 19 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 Quarterly Journal of Science Literature And the Arts, volume 19
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To quickly assess the difficulty of the text, read a short excerpt:
8oc, Arts, xlii. S2.
#. (3fra|)^'ca/lraeeit(mo/an^n^tf.-^TheloUowi lor such It is, is SQpposed to he new, and may prove useful to artliosre and others who have occasion to trisect any angkw I j Digitized by VjOOQIC 140 Miscellaneous Jntelligence.
Having a plate of sheet metal, or other convenient m8l;eria]|„let A C B be an equilateral triangle ; divide one of its sides, AiB, into two equal parts, as at D, through which draw the line C fc^ until it meets, as at E, another line A E, which latter ...makes an angle of 70° with A B ; consequently, the angle E will be 2Q^ The periphery of the rectilineal figure, F AB C D, will repre- sent ^e instrument in question.
To illustrate its application, suppose F G H the angle to be trisected ; raise on one of its sides a perpendicular, as K H* equal to AD or B D, and through the point K draw I K, par* rallel to G H ; then place the instrument between this line i K, and the other leg F G of the angle given, so that the line A B touches these two lines at its extremities, whilst the lihe DB passes by the apex G of the same angle : when in this positicnt, the angle A G D will be equal to one-third of the given angle F G H ; for it is evident, that if from B the perpendicular B L be drawn to the line G H, and that the points B andG be joined by the line B G, that the rectangular triangles, L G B, D G B, A G D, will be equal, the sides, AD, D B, and B L being equal, and consequently, the opposite angles at G will also be eqaai.
What to read after Quarterly Journal of Science Literature And the Arts, volume 19?
You can find similar books in the "Read Also" column, or choose other free books by Royal Institution of Great Britain to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
8oc, Arts, xlii. S2.
#. (3fra|)^'ca/lraeeit(mo/an^n^tf.-^TheloUowi lor such It is, is SQpposed to he new, and may prove useful to artliosre and others who have occasion to trisect any angkw I j Digitized by VjOOQIC 140 Miscellaneous Jntelligence.
Having a plate of sheet metal, or other convenient m8l;eria]|„let A C B be an equilateral triangle ; divide one of its sides, AiB, into two equal parts, as at D, through which draw the line C fc^ until it meets, as at E, another line A E, which latter ...makes an angle of 70° with A B ; consequently, the angle E will be 2Q^ The periphery of the rectilineal figure, F AB C D, will repre- sent ^e instrument in question.
To illustrate its application, suppose F G H the angle to be trisected ; raise on one of its sides a perpendicular, as K H* equal to AD or B D, and through the point K draw I K, par* rallel to G H ; then place the instrument between this line i K, and the other leg F G of the angle given, so that the line A B touches these two lines at its extremities, whilst the lihe DB passes by the apex G of the same angle : when in this positicnt, the angle A G D will be equal to one-third of the given angle F G H ; for it is evident, that if from B the perpendicular B L be drawn to the line G H, and that the points B andG be joined by the line B G, that the rectangular triangles, L G B, D G B, A G D, will be equal, the sides, AD, D B, and B L being equal, and consequently, the opposite angles at G will also be eqaai.
What to read after Quarterly Journal of Science Literature And the Arts, volume 19?
You can find similar books in the "Read Also" column, or choose other free books by Royal Institution of Great Britain to read onlineMoreLess
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