A Treatise of Algebra in Two Books: The First Treating of the Arithmetical, and the Second of the Geometrical Part |
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Page 94
... Rank or Series of Numbers or Quantities do either Increase or Decrease by an equal Interval , or com- mon Difference or Excefs , they are faid to be in Arithmetical Progreffion , or Proportion continued : As { 2.4 . 15.13 • 6 8 II ...
... Rank or Series of Numbers or Quantities do either Increase or Decrease by an equal Interval , or com- mon Difference or Excefs , they are faid to be in Arithmetical Progreffion , or Proportion continued : As { 2.4 . 15.13 • 6 8 II ...
Page 99
... Rank or Series of Numbers or Quantities , do either increase by one common Multiplicator , or decreafe by one common Divifor , thofe Numbers or Quantities are faid to be in Geometrical Proportion continued . As 2 , 4 , 8 , 16 , 32 , 8 ...
... Rank or Series of Numbers or Quantities , do either increase by one common Multiplicator , or decreafe by one common Divifor , thofe Numbers or Quantities are faid to be in Geometrical Proportion continued . As 2 , 4 , 8 , 16 , 32 , 8 ...
Page 148
... Rank may have c ( 8 ) Foot Diffance between the Centers of their Stations ; and every two Soldiers next to one another in File may have d ( 3 ) Foot Dif- tance between the Centers of their Stations . How many Soldiers must be plac'd in Rank ...
... Rank may have c ( 8 ) Foot Diffance between the Centers of their Stations ; and every two Soldiers next to one another in File may have d ( 3 ) Foot Dif- tance between the Centers of their Stations . How many Soldiers must be plac'd in Rank ...
Page 199
... Rank 1 , its 3d Rank 1 + 2 , its 4th Rank 1 + 2 | - 3 , & c . that therefore Its 22th Rank must be Alfo its 22th Rank I Alfo its 221 2th Rank 1+ 2+ 3+ 4+ & c . + : 12—1 : - 1-2 3-1-4- | - & c . + : 22 ~ 2 : - | - 12+ 3+ 4+ & c . | : 22 ...
... Rank 1 , its 3d Rank 1 + 2 , its 4th Rank 1 + 2 | - 3 , & c . that therefore Its 22th Rank must be Alfo its 22th Rank I Alfo its 221 2th Rank 1+ 2+ 3+ 4+ & c . + : 12—1 : - 1-2 3-1-4- | - & c . + : 22 ~ 2 : - | - 12+ 3+ 4+ & c . | : 22 ...
Other editions - View all
A Treatise of Algebra: In Two Books; The First Treating of the Arithmetical ... Philip Ronayne No preview available - 2017 |
A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ... PHILIP. RONAYNE No preview available - 2018 |
Common terms and phrases
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
Popular passages
Page 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.
Page 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.
Page 32 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Page 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.
Page 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.
Page 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.
Page 333 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Page 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.
Page 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...