 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...the chord of half the arc. To the square of the half chord, add the square of the versed sine, and the square root of the sum will be the length of the chord of half the arc. Lx. The chord AC being 48 feet, and the versed sine DB IS feet, what is the... | |
 | Zadock Thompson - Arithmetic - 1826 - 176 pages
...the two sides which include the right angle, that is, the two shortest sides, add them together, and the square root of the sum will be the length of the longest side ; if not, subtract the square of the less from that of the greater, and the square root... | |
 | John Bonnycastle - Geometry - 1829 - 256 pages
...double ordinate. RULE.* To the square of the ordinate add f of the square of the abscissa, and twice the square root of the sum will be the length of .the curve required. * Demon. Let a:=any abscissa, y=i\s ordinate, a= V the parameter of the axe, and 2=—... | |
 | Thomas Curtis - Aeronautics - 1829 - 810 pages
...Rule. — To the square of the ordinale add four-thirds of the square of the abscissa 1, and twice the square root of the sum- will be the length of the arc nearly. Demonstration. — It may easily be shown, by the aid of fluxions, that * being the arc,... | |
 | Zadock Thompson - Arithmetic - 1832 - 186 pages
...the two sides which include the right angle, that is, the two shortest sides, add them together, and the square root of the sum will be the length of the longest side ; if not, the two shortest ; subtract the square of the less from that of the greater,... | |
 | Zadock Thompson - Arithmetic - 1832 - 186 pages
...the two sidfc which include the right angle, that is, the two shortest sides, add them together, and the square root of the sum will be the length of the longest side ; if not, the two shortest ; subtract the square of the less frpm that of the greater,... | |
 | William Ruger - Arithmetic - 1832 - 282 pages
...f.nd the hypotenuse. RULE 1. — Add the square of the base to the square of the perpendicular, and the square root of the sum will be the length of the hypotenuse. . f When the hypotenuse and one of the legs are given ; to find the other leg. KULE 2.... | |
 | Tobias Ostrander - Measurement - 1833 - 172 pages
...double ordinate. Rule—To the square of the ordinate add i of the square of the abscissa, and twice the square root of the sum will be the length of the curve required. EXAMPLES. 1. The abscissa is 2, and its ordinate 6—What is the'lehgth of the arc... | |
 | Tobias Ostrander - Measurement - 1834 - 182 pages
...double ordinate. Rule — To the square of the ordinate add f of the square of the abscissa, and twice the square root of the sum will be the length of the curve required. EXAMPLES. 1. The abscissa is 2, and its ordinate 6 — What is the length of the arc... | |
 | Commissioners of National Education in Ireland - Measurement - 1837 - 290 pages
...curve as before. RULE III. To the square of the ordinate, add ^ of the square of the abscissa, and the square root of the sum will be the length of the single curve, the double of which will be the length of the double curve nearly.* Note, The two first... | |
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To the square of the ordinate add f of the square of the abscissa, and twice the square root of the sum will be the length of the curve required. 
