Mensuration and Practical Geometry: Containing Tables of Weights and Measures, Vulgar and Decimal Fractions, Mensuration of Areas, Lines, Surfaces, and Solids ... To which is Appended a Treatise on the Carpenter's Slide-rule and GaugingHarper & brothers, 1858 - 322 σελίδες |
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Σελίδα 45
... Sine of an arc is a line running from one extremity of an arc per- pendicular to a diameter passing through the other extremity , and the sine of an angle is the sine of the arc that measures that angle . The Versed Sine of an arc or ...
... Sine of an arc is a line running from one extremity of an arc per- pendicular to a diameter passing through the other extremity , and the sine of an angle is the sine of the arc that measures that angle . The Versed Sine of an arc or ...
Σελίδα 46
... Sine of A k , the Versed Sine of do . do . A the Tangent of 9 , do . CB b , the Complement , and b BE , the Supplement of the arc A c b . Cg , the Cotangent of the arc , writ- B ten cot . 9 , the Cosecant of the arc , written cosec ...
... Sine of A k , the Versed Sine of do . do . A the Tangent of 9 , do . CB b , the Complement , and b BE , the Supplement of the arc A c b . Cg , the Cotangent of the arc , writ- B ten cot . 9 , the Cosecant of the arc , written cosec ...
Σελίδα 71
... Versed sine of the arc of the semicircle 4. Versed sine of half the arc of the semicircle 5. Chord of half the arc of the half of the arc of the semicircle 6. Half the chord of the chord of half the arc 7. Length of arc of semicircle 8 ...
... Versed sine of the arc of the semicircle 4. Versed sine of half the arc of the semicircle 5. Chord of half the arc of the half of the arc of the semicircle 6. Half the chord of the chord of half the arc 7. Length of arc of semicircle 8 ...
Σελίδα 72
... Sine of an Arc is a line running from one extremity of an arc perpendicular to a diameter joining the other extremity , as a d , fig . 23 . The Sine of an Angle is the sine of the arc that measures that angle . The Versed Sine of an Arc ...
... Sine of an Arc is a line running from one extremity of an arc perpendicular to a diameter joining the other extremity , as a d , fig . 23 . The Sine of an Angle is the sine of the arc that measures that angle . The Versed Sine of an Arc ...
Σελίδα 74
... Versed Sine of the Arc are given . RULE . - Multiply the square root of the sum of the square of the chord , a c , Fig . 25 , and four times the square of the * The exact length is 39.27 feet . + The exact length is 7.854 inches . versed ...
... Versed Sine of the Arc are given . RULE . - Multiply the square root of the sum of the square of the chord , a c , Fig . 25 , and four times the square of the * The exact length is 39.27 feet . + The exact length is 7.854 inches . versed ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
12 inches 15 feet 20 feet 20 inches abscissa acres angle ascertain the Area ascertain the Contents base breadth cask Centre of Gravity chord of half Circular Spindle circumference cone conic section contents in cubic contents required convex surface cube cubic feet cubic foot cubic inches curve cycloid cylinder decimals diam divided equal eter EXAMPLE EXAMPLE.-What figure fraction gauge point geometrical centre give the contents half the arc head diameter Hence hexahedron hyperbola hyperboloid Hyperboloid of Revolution inches in diameter inscribed sphere length less diameter linear edge Loomis's middle diameter middle frustrum miles multiply the sum ordinate parabolic spindle perpendicular prism product will give prolate spheroid pyramid quired quotient radii radius remainder result required rule RULE.-Multiply the area sector segment slant height spherical square root subtract surface required transverse diameter triangle ungula versed sine vertex volume VULGAR FRACTIONS yards zone
Δημοφιλή αποσπάσματα
Σελίδα 45 - The circumference of every circle is supposed to be divided into 360 equal parts, • called degrees, each degree into 60 minutes, and each minute into 60 seconds, etc.
Σελίδα 22 - To reduce a compound fraction to an equivalent simple one. RULE. — Multiply all the numerators together for a numerator, and all the denominators together for the denominator, and they will form the simple fraction sought.
Σελίδα 22 - To reduce a whole number to an equivalent fraction, having a given denominator. RULE. Multiply the whole number by the given denominator, and place the product over the said denominator, and it will form the fraction required.
Σελίδα 22 - To reduce an improper fraction to its equivalent whole or mixed number. RULE. — Divide the numerator by the denominator, and the quotient will be the whole or mixed number sought.
Σελίδα 31 - ... from the right hand of the quotient, point off so many places for decimals, as the decimal places in the dividend exceed those in the divisor.
Σελίδα 39 - Multiply the divisor, thus augmented, by the last figure of the root, and subtract the product from the dividend, and to the remainder bring down the next period for a new dividend.
Σελίδα 20 - Divide by any number that will divide two or more of the given numbers without a remainder, and set the quotients, together with the undivided numbers, in a line beneath.
Σελίδα 69 - ... troublesome and laborious that it must have cost him incredible pains. It is said to have been thought so curious a performance, that the numbers were cut on his tomb-stone in St. Peter's Church-yard at Leyden.
Σελίδα 84 - FIND the area of the sector having the same arc with the segment, by the last problem. Find also the area of the triangle, formed by the chord of the segment and the two radii of the sector.