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 Seiten |
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Seite 188
... consequently $ , and 9 + c2 Steps are 2 - e e 9 + e2 + 2/2 Є f , and the Products of the two laft 99 + 2qe2 + e + rr ee 4 = ƒg = s ; which Equa- tion , when reduc'd , gives e629e4 +99 e 2 - 45 = rr . Now suppose e2y , and then you'll ...
... consequently $ , and 9 + c2 Steps are 2 - e e 9 + e2 + 2/2 Є f , and the Products of the two laft 99 + 2qe2 + e + rr ee 4 = ƒg = s ; which Equa- tion , when reduc'd , gives e629e4 +99 e 2 - 45 = rr . Now suppose e2y , and then you'll ...
Seite 211
... consequently 4 II . 12 う 12 + 22 + 32 + 42 + 52 + & c . to n Terms conti- .. nued , or the Sum of the Squares of an whofe firft Term and common Excefs are each equal to 1 , and Number of Terms equal to n is = n3 + 1 1⁄2 n n + 1⁄2 n n 3 ...
... consequently 4 II . 12 う 12 + 22 + 32 + 42 + 52 + & c . to n Terms conti- .. nued , or the Sum of the Squares of an whofe firft Term and common Excefs are each equal to 1 , and Number of Terms equal to n is = n3 + 1 1⁄2 n n + 1⁄2 n n 3 ...
Seite 415
... consequently x zaj ( AC -AQ " ) = Q ; and x - : - 1 : xa \ " 1 : xa " ( AÇ APP . Whence ax : x - za " : is Area of the in- fcribed PPQ ; and ax : x - x - 1xa " is Area of the Q9P : Wherefore , by Schol . 4. ax : x — am + m x¬zam + x ...
... consequently x zaj ( AC -AQ " ) = Q ; and x - : - 1 : xa \ " 1 : xa " ( AÇ APP . Whence ax : x - za " : is Area of the in- fcribed PPQ ; and ax : x - x - 1xa " is Area of the Q9P : Wherefore , by Schol . 4. ax : x — am + m x¬zam + x ...
Seite 452
... Consequently ( by our Scholium 4. ) va da X : √1 + √2 + √ 3 + √ 4+ & c . to b х Terms continued` a a3 x : = √ X b a isy ; wherefore - b 6 ( by our Lemma 2. ) is by , which is the Nature or = Property of the Curve fought ; and fhews ...
... Consequently ( by our Scholium 4. ) va da X : √1 + √2 + √ 3 + √ 4+ & c . to b х Terms continued` a a3 x : = √ X b a isy ; wherefore - b 6 ( by our Lemma 2. ) is by , which is the Nature or = Property of the Curve fought ; and fhews ...
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A Treatise of Algebra: In Two Books; The First Treating of the Arithmetical ... Philip Ronayne Keine Leseprobe verfügbar - 2017 |
A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ... PHILIP. RONAYNE Keine Leseprobe verfügbar - 2018 |
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Beliebte Passagen
Seite 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.
Seite 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.
Seite 32 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Seite 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.
Seite 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.
Seite 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.
Seite 333 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Seite 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.
Seite 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...