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Livros Livros 1 - 10 de 11 sobre From the square of the radius, subtract the square of half the chord; and take the....
" From the square of the radius, subtract the square of half the chord; and take the square root of the remainder from the radius, for the middle ordinate. "
A Practical Treatise on Railway Curves and Location, for Young Engineers ... - Página 50
de William Findlay Shunk - 1890 - 100 páginas
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Elements of plane (solid) geometry (Higher geometry) and trigonometry (and ...

1845
...centre of a circle to a chord, or the altitude of a triangle formed by a chord and two radii. RULE. — From the square of the radius subtract the square of half the chord; the square root of this remainder will be the length of the perpendicular or the altitude. Let CAB...
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Mensuration, Mechanical Powers and Machinery: The Principles of Mensuration ...

Daniel Adams - 1849 - 128 páginas
...triangle. Hence, To find the side of an equilateral triangle inscribed in a given circle. RULE. I. From the square of the radius subtract the square of half the radius. II. Extract the square root of the remainder, and multiply the result by 2. NOTE 1. Instead...
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mensuration mechanical powers and machinery

1850
...equilateral triangle. Hence, To find the. side of an equilateral triangle inscribed in a given circle. I. From the square of the radius subtract the square of half the radius. II. Extract the square root of the remainder, and multiply the result by 2. NOTE I. Instead...
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The field practice of laying out circular curves for railroads

John Cresson Trautwine - 1851 - 75 páginas
...XX. OKDINATES. To find the middle ordinate to any given radius, and to any given chord. Rule 1. — From the square of the radius, subtract the square...chord; and take the square root of the remainder from the radius, for the middle ordinate. Example. — What is the length of the middle ordinate de, fig....
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A practical treatise on railway curves and location: for young engineers ...

William Findlay Shunk - 1854 - 106 páginas
...ANY GIVEN RADIUS. 1st. (See figure in Art. XVI.) £ c — V a c2 — a F, and « c or be — & e = the ordinate required. That is, from the square of...radius, for the middle ordinate. Example. — The radius ac being 819 feet, and the chord af 100 feet, to find the middle ordinate, bk. 2d. Subtract the nat....
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A treatise on the principles and practice of levelling, showing its ...

Frederick Walter Simms, Henry Law, John Cresson Trautwine - 1856 - 215 páginas
...XIX. ORDINATKS. To find the Middle Ordinate to any given radius, and to any given chord. Rule 1 . — From the square of the radius subtract the square...chord ; and take the square root of the remainder from the radius, for the middle ordinate. Example. — What is the length of the middle ordinate de, fig....
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Mensuration and Practical Geometry: Containing Tables of Weights and ...

Charles Haynes Haswell - 1858 - 322 páginas
...Then, 1 8s + 26s = 1000, and V 1000+31.6228 =chord of arc of segments ab, c d. To find the Versed Sine. From the square of the radius subtract the square of half the chord, and the square root of the remainder subtracted from the radius is the versed sine. Thus, 100-H2=50, and...
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Griswold's Railroad Engineers Pocket Companion For The Field

W. Griswold - 1866
...ordinate for 25 ft. To find the middle ordinate to any given radius, and to any given chord. RULE 8. From the square of the radius, subtract the square...chord, and take the square root of the remainder from the radius == middle ordinate. EXAMPLE. — What is the length of the middle ordinate de, (Fig. 1)...
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A PRACTICAL TREATISE ON RAILWAY CURVES AND LOCATION

WILLIAM F. SHUNK - 1869
...OF ANY GIVEN RADIUS. 1st. (See figure in Art. XVI.) Tc c = <S a<? — a TP, and ac OY bc — Jc c = the ordinate required. That is, from the square of...radius, for the middle ordinate. Example. — The radius ac being 819 feet, and the chord af 100 feet, to find the middle ordinate, bk. 2d. Subtract the nat....
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The Field Practice of Laying Out Circular Curves for Railroads

John Cresson Trautwine - 1886 - 180 páginas
...XV. Ordinates. To find the Middle Ordinate to any given radius, and to any given chord. Rule I. — From the square of the radius subtract the square of half the chord. Find the square root of the remainder. Take this square root from the radius. Example. — What is...
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