A Course of Mathematics for the Use of Academies As Well As Private Tuition
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In our eReader you can find the full English version of the book. Read A Course of Mathematics for the Use of Academies As Well As Private Tuition 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 Course of Mathematics for the Use of Academies As Well As Private Tuition
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The greate'st range is when the angle of elC'* vation is 45^, or half a right angle; for the double of 45 la 90, which has the greatest sine. Or the radius os, wbich is J of the range, b the greatest sine. , ^ And hence the greatest range, or that at an elevation of 45% ts just double the altitude ap which is due to the velocity, or equal to 4vc. Consequently, in that case, c is the focus of the {Mrabola, and ah its parameter. Also, the ranges are eqoal» at angles equally above and below 4S«'.
...89. Corol, 6. When the elevation is 150, the double of which, or 30^, has its sine equal to half the radius ; conse- quently then iu range will be equal to ap, or half the greatest range at the elevadon of 45^" ; that is, the ran^eat isMs equal to the iropelus or height due to the projecule vehEK:ity.
90k CoroU 7.
• Digitized by Google 4d6 OF MOTIONi FORCES, he.
9
What to read after A Course of Mathematics for the Use of Academies As Well As Private Tuition?
You can find similar books in the "Read Also" column, or choose other free books by Charles Hutton to read online
To quickly assess the difficulty of the text, read a short excerpt:
The greate'st range is when the angle of elC'* vation is 45^, or half a right angle; for the double of 45 la 90, which has the greatest sine. Or the radius os, wbich is J of the range, b the greatest sine. , ^ And hence the greatest range, or that at an elevation of 45% ts just double the altitude ap which is due to the velocity, or equal to 4vc. Consequently, in that case, c is the focus of the {Mrabola, and ah its parameter. Also, the ranges are eqoal» at angles equally above and below 4S«'.
...89. Corol, 6. When the elevation is 150, the double of which, or 30^, has its sine equal to half the radius ; conse- quently then iu range will be equal to ap, or half the greatest range at the elevadon of 45^" ; that is, the ran^eat isMs equal to the iropelus or height due to the projecule vehEK:ity.
90k CoroU 7.
• Digitized by Google 4d6 OF MOTIONi FORCES, he.
9
What to read after A Course of Mathematics for the Use of Academies As Well As Private Tuition?
You can find similar books in the "Read Also" column, or choose other free books by Charles Hutton to read online
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