A Treatise of Algebra in Two Books: The First Treating of the Arithmetical, and the Second of the Geometrical PartW. Innys, 1717 - 408 σελίδες |
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Σελίδα 72
... rational Number . Alfo the Cube - Root of b2 can be only writ thus b3 ( = b3 ) thus b . & c . 2. But altho these Surd - Roots ( when truly fuch ) are inexpreffi- ble by rational Numbers , they are notwithstanding capable of Al ...
... rational Number . Alfo the Cube - Root of b2 can be only writ thus b3 ( = b3 ) thus b . & c . 2. But altho these Surd - Roots ( when truly fuch ) are inexpreffi- ble by rational Numbers , they are notwithstanding capable of Al ...
Σελίδα 74
... rational Quantities may be reduc'd to the form of Surds , which shall have any affigned Indices . 1 Thus , if it was required to reduce a to the form of a Surd , whefe Index will be Fir First Divide the Index of a , to wit 1 74 Part VI ...
... rational Quantities may be reduc'd to the form of Surds , which shall have any affigned Indices . 1 Thus , if it was required to reduce a to the form of a Surd , whefe Index will be Fir First Divide the Index of a , to wit 1 74 Part VI ...
Σελίδα 75
... rational Root with the Sign x , fo you have a new Surd equal to the propos'd one , and in more Simple Terms . But when fuch a Power , by which the Divifion neceffary to fuch Contraction is to be perform'd , cannot be readily difcern'd ...
... rational Root with the Sign x , fo you have a new Surd equal to the propos'd one , and in more Simple Terms . But when fuch a Power , by which the Divifion neceffary to fuch Contraction is to be perform'd , cannot be readily difcern'd ...
Σελίδα 76
... rational Root , and by which ab being Divided , will leave no Remainder . And ab ÷ a " = b ; wherefore ( by our Rule ) ... Rational ; then if the other Quotient ( or Product ) be Rational too , the Surds are Commenfurable , and in ...
... rational Root , and by which ab being Divided , will leave no Remainder . And ab ÷ a " = b ; wherefore ( by our Rule ) ... Rational ; then if the other Quotient ( or Product ) be Rational too , the Surds are Commenfurable , and in ...
Σελίδα 77
... Rational , and equal to b2 and c2 : For the first Quotient is 81 + = b , and the 2 is 84 c2 Confequently the two given Surds are Commenfurable to one . another , and in proportion as ba is to c2 ; that is b ' .. c ' . This may be ...
... Rational , and equal to b2 and c2 : For the first Quotient is 81 + = b , and the 2 is 84 c2 Confequently the two given Surds are Commenfurable to one . another , and in proportion as ba is to c2 ; that is b ' .. c ' . This may be ...
Άλλες εκδόσεις - Προβολή όλων
A Treatise of Algebra: In Two Books; The First Treating of the Arithmetical ... Philip Ronayne Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
A Treatise of Algebra in Two Books: The First Treating of the Arithmetical ... PHILIP. RONAYNE Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
Συχνά εμφανιζόμενοι όροι και φράσεις
Æquation alfo alſo Angle Anſwer Axiom Bafe becauſe Binomial Cafe Canon Chap Co-fine common confequently conjoin'd Cube Cubick Demonftration Denominator Divided Divifion Divifor equal Equation Eucl Example faid fame fecond Term feven fhall fide figurate Number fince firft Term firſt fome foregoing Fraction fuch fuppofe given Number greater greateſt Hence indefinitely Intereft laft leaft Leffer Series lefs Legs Lemma Logarithm Meaſure muft Multiply muſt Number of Alternations number of Terms oppofite Power Product propos'd Quadratick Quantities Queftion Quotient Rank Rational Theorem reduc'd Refidual Refolvend refpectively Remainder required to find ſaid Scholium Sine Solution Spheric Triangle Square fought Square Root Subftract Surds thefe Theorem theſe thofe Triangle Uncia univerfal unknown Root Value wherefore whofe
Δημοφιλή αποσπάσματα
Σελίδα 290 - 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.
Σελίδα 31 - Multiply the numerators together for a new numerator, and the denominators together for a new denominator.
Σελίδα 312 - In spherical triangles, whether right angled or oblique angled, the sines of the sides are proportional to the sines of the angles opposite to them.
Σελίδα 258 - 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, etc.
Σελίδα 289 - In any triangle, the sides are proportional to the sines of the opposite angles, ie. t abc sin A sin B sin C...
Σελίδα 200 - JJ/xJV; hence, The sum of the logarithms of any two numbers is equal to the logarithm of their product.
Σελίδα 263 - 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.
Σελίδα 97 - Note. — In any series of numbers in arithmetical progression, the sum of the two extremes is equal to the sum of any two terms equally distant from them; as in the latter of the above series 6 + 1=4+3, and =5+2.
Σελίδα 290 - FA : FG ; that is in Words, half the Sum of the Legs is to half their Difference, as the Tangent of half the Sum of the oppofite Angles is to the Tangent of half their Difference : But Wholes are as their Halves ; wherefore the Sum of the Legs is...
Σελίδα 32 - Then multiply the denominator of the dividend by the numerator of the divifor, and their produft Jhall give the denominator.