A Treatise of Algebra in Two Books: The First Treating of the Arithmetical, and the Second of the Geometrical PartWilliam and John Innys, 1738 - 421 páginas |
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Página 321
... Co - fine . T. v L L 诽-40 Signifies Secant , Co - fecant . Tangent . Co - tangent , Verfed Sine . Angle Right - angle . Perpendiculars Parallel . Straight Line . Triangle . Square . Oblong , or Parallelogram . PART PART I. Of Plane ...
... Co - fine . T. v L L 诽-40 Signifies Secant , Co - fecant . Tangent . Co - tangent , Verfed Sine . Angle Right - angle . Perpendiculars Parallel . Straight Line . Triangle . Square . Oblong , or Parallelogram . PART PART I. Of Plane ...
Página 322
... Co - fine , or Sine- Complement af the Arcs BA , BD . 5. The Secant of an Arc is a ftraight Line drawn from the Center thro ' one End of the Arc till it meet with the Tan- gent , which is a ftraight Line touching the Circle at the Ex ...
... Co - fine , or Sine- Complement af the Arcs BA , BD . 5. The Secant of an Arc is a ftraight Line drawn from the Center thro ' one End of the Arc till it meet with the Tan- gent , which is a ftraight Line touching the Circle at the Ex ...
Página 323
... Co - fine ; thus CF is IB . = 9. If an Arc be greater or lefs than a Quadrant , the Sum or Difference of the Radius and Co - fine is equal to the Ver- fed fine . In a Triangle are fix Parts , viz . three Sides and three An- gles : Any ...
... Co - fine ; thus CF is IB . = 9. If an Arc be greater or lefs than a Quadrant , the Sum or Difference of the Radius and Co - fine is equal to the Ver- fed fine . In a Triangle are fix Parts , viz . three Sides and three An- gles : Any ...
Página 324
... Co - tangenta ) 1 — 3 ) a — 45 ) a3945 ) 2 as 4725 ) a 93555 ) 2 a ° . 638512875 ) 1382 a & c . Secant12 ) a2 + 24 ) sa + + 720 ) 61 a6 + & c . & c . - -- 2 Examples . 1. Let it be required to find the Sine and Co - fine ... co ° .05 ...
... Co - tangenta ) 1 — 3 ) a — 45 ) a3945 ) 2 as 4725 ) a 93555 ) 2 a ° . 638512875 ) 1382 a & c . Secant12 ) a2 + 24 ) sa + + 720 ) 61 a6 + & c . & c . - -- 2 Examples . 1. Let it be required to find the Sine and Co - fine ... co ° .05 ...
Página 325
... Co - fine C F. N. B. The Radius is always fup- pos'd to be given . CBq = BFq + CF q ( by 47. 1 Eucl Elem . ) Therefore : CBq¬BFq : = = CF , by Tranfpofition and Evolution ; that is C √ : Rq - Sq : = Σ . B F Z A 2. BF the Sine of an Arc ...
... Co - fine C F. N. B. The Radius is always fup- pos'd to be given . CBq = BFq + CF q ( by 47. 1 Eucl Elem . ) Therefore : CBq¬BFq : = = CF , by Tranfpofition and Evolution ; that is C √ : Rq - Sq : = Σ . B F Z A 2. BF the Sine of an Arc ...
Otras ediciones - Ver todas
A Treatise of Algebra: In Two Books; The First Treating of the Arithmetical ... Philip Ronayne Sin vista previa disponible - 2017 |
A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ... PHILIP. RONAYNE Sin vista previa disponible - 2018 |
Términos y frases comunes
Adfected Affirmative alfo alſo Angle Anſwer Area becauſe Binomial Cafe Canon Chap circumfcribing Co-efficient Co-fine common confequently Cube-Root Demonftration Denominator Diſtances Divided Divifion Divifor Elem equal Eucl faid fame fecond Term fhall figurate Number fimilar fince firft Term firſt fmall fome foregoing fought Fraction ftraight Line fuch fuppos'd greater greateſt hath indefinitely little Index infcribed Integer Intereft interfecting laft laſt leaft leffer lefs Lemma Logarithm Meaſure Multiplyed muſt Number of Alternations Power PROB produc'd PROP Quadratick Quantity Queſtion Quotient Radius Ratio Rational Theorem reduc'd Refidual Refolvend refpectively Remainder required to find Root Scholia Scholium Series Side Sine Square Square-Root Step Subtract Suppofe Surds Tangent thefe Theorem theſe thofe Trapezium Uncia univerfal Value Whence wherefore whofe whole Numbers
Pasajes populares
Página 334 - C' (89) (90) (91) (92) (93) 112. In any plane triangle, the sum of any two sides is to their difference as the tangent of half the sum of the opposite angles is to the tangent of half their difference.
Página 326 - The circumference of every circle is supposed to be divided into 360 equal parts called degrees, and each degree into 60 equal parts called minutes, and each minute into 60 equal parts called seconds, and these into thirds, fourths, &c.
Página 32 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Página 332 - Radius, fo the other Sides acquire different Names, which Names are either Sines, Tangents, or Secants, and are to be taken out of your Table, To find a Side, any Side may be made Radius : Then fay, as the Name of the Side given is to the Name of the Side required ; fo is the Side given to the Side required.
Página 8 - ... 1. If equal quantities be added to equal quantities, the sums will be equal. 2. If equal quantities be subtracted from equal quantities, the remainders will be equal. 3. If equal quantities be multiplied by equal quantities, the products will be equal. 4. If equal quantities be divided by equal quantities, the quotients will be equal. 5.
Página 34 - Multiply the numerator of the dividend by the denominator of the divisor, for a numerator; and multiply the denominator of the dividend by the numerator of the divisor, for a denominator 19.
Página 333 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Página 327 - Every plane triangle consists of six parts ; viz., three sides and three angles ; any three of which being given (except the three angles), the other three may be readily found by logarithmical calculation.
Página 327 - Parts, viz. three Sides and three, Angles : Any three of which being given, except the three Angles of a Plane Triangle, the other three may be found either Mechanically, by the help of a Scale of equal Parts and Line of Chords, or by an...