 | 1867 - 878 sider
...known, and the height of the perpendicular is required. This, by the before-mentioned Proposition, is equal to the square root of the difference of the squares of the base and hypothennse, or -J 452 — 121 = ^025 — 144 = »'Ï88Ï = 43} feet, approximately. EXAMPLI... | |
 | Isaac Dalby - 1807 - 476 sider
...equal to the radius, then BPG is an arc of 60°. And because the angle SGB is a right one (72), SG is equal to the square root of the difference of the squares of SB and BG i83, coral.-). The square of SB is 4, and the square of BG is 1, therefore SG the supplemental... | |
 | Charles Hutton - 1811 - 404 sider
...therefore, = rci» + *«: and this being = a2, we have ».-- — — kr. But the altitude of the coae is equal to the square root of the difference of the squares of the side and of the radius of the base ; that is, it is = ^/( — ). And this multiplied: into- 4 of the... | |
 | Charles Butler - 1814 - 582 sider
...1.) C5)8=BZ>1I' + ^, and C7f)9-BDl»=CD>, ••• CD= vCBl2-"^* i that is, the co-sine of an arc is equal to the square root of the difference of the squares of the radius and line. Secondly. Let CB the radius, and CD the co-sine be given. to find BD the sine; thus,... | |
 | John Bonnycastle - 1818 - 488 sider
...equal to the square root of the sum of the squares of the other two sides ; and either of the sides is equal to the square root of the difference of the squares of the hypothenuse and the other side. Note, also, that if the half difference of any two quantities be added... | |
 | James Mitchell - 1823 - 666 sider
...i/i'f lias not a ratio in numbers to 4. APOTOME Qulnta, when the less term is a rational number, and the square root of the difference of the squares of the two has not a rational ratio to the greater; ;••-,'. — 2, where the difference of the squares 6 and... | |
 | William Slocomb - 1828 - 160 sider
...the longest side. Again, when the hypothenuse or longest side, and one of the other sides are given, the square root of the difference of the squares of the two given sides, will be the length of the remaining side. ILLUSTRATION. Let A. be a triangle whose base... | |
 | Ira Wanzer - 1831 - 408 sider
...length of the hypothenuse. 2. When the hypothenuse and either of the two other sides are given ; then the square root of the difference of the squares of the two given sides will be the other side required. Ex. 1. — Required the hypothenuse of a right angled... | |
 | Samuel YOUNG (of Manchester.) - 1833 - 272 sider
...hypotenuse is equal to the square root of the sum of the squares of the two sides, and either side is equal to the square root of the difference of the squares of the hypotenuse and other side. (1) Three sides of a triangle are 3, 4, and 5, taking any two of them as... | |
 | Francis Henney Smith - 1845 - 300 sider
...the squares of the two other sides of the triang 3. In every right-angled triangle, either side is equal to the square root of the difference of the squares of the hypothenuse and other side. Q. What is a triangle 1 What are the angles of a triangle ? How many angles... | |
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The hypotenuse is, therefore, equal to the square root of the sum of the squares of the other two sides... 
