Philosophical Transactions, Giving Some Account of the Present Undertakings, Studies, and Labours of the Ingenious, in Many Considerable Parts of the World, Volumes 34-36C. Davis, Printer to the Royal Society of London, 1964 |
Vanuit het boek
Resultaten 1-3 van 76
Pagina 515
... Roots of the Equation ax2 - Bx + A = 0 , will be real . But if BaxA , the Roots will be impoffible . This is evident from the ÷ B + √ ÷ B2 —axA 2 Roots of the Equation being ÷ B — √ B2 — a × A 3 a LEMMA II . 2 - 2 a - in Whatever be ...
... Roots of the Equation ax2 - Bx + A = 0 , will be real . But if BaxA , the Roots will be impoffible . This is evident from the ÷ B + √ ÷ B2 —axA 2 Roots of the Equation being ÷ B — √ B2 — a × A 3 a LEMMA II . 2 - 2 a - in Whatever be ...
Pagina 516
... Roots real . Thus if all the Roots of the Equation x ^ Bx ' + Cx1 — D x + A = 0 be real , then all the Roots of the Equation 4x ' -—- 3 Bx2 + 2Cx D = 0 will also be real . This Lemma doth not hold converfly , for there are an Infinity ...
... Roots real . Thus if all the Roots of the Equation x ^ Bx ' + Cx1 — D x + A = 0 be real , then all the Roots of the Equation 4x ' -—- 3 Bx2 + 2Cx D = 0 will also be real . This Lemma doth not hold converfly , for there are an Infinity ...
Pagina 87
Roots a ' , b ' , and c ' ; thefe Roots conversely must be Li- mits betwixt a , b , c and d . quadratick any THEOREM II . Multiply the Terms of any Bi- x - Ax + Bx - Cx + D = 0 D = oby Arithmetical Series of Quantities / + 4 m , l + 3 m ...
Roots a ' , b ' , and c ' ; thefe Roots conversely must be Li- mits betwixt a , b , c and d . quadratick any THEOREM II . Multiply the Terms of any Bi- x - Ax + Bx - Cx + D = 0 D = oby Arithmetical Series of Quantities / + 4 m , l + 3 m ...
Overige edities - Alles bekijken
Philosophical Transactions, Giving Some Account of the Present Undertakings ... Volledige weergave - 1845 |
Philosophical Transactions, Giving Some Account of the Present Undertakings ... Volledige weergave - 1723 |
Philosophical Transactions, Giving Some Account of the Present Undertakings ... Volledige weergave - 1855 |
Veelvoorkomende woorden en zinsdelen
Account acido acidum adhuc alfo alſo Altitudo Anno Domini appear Aurora Borealis becauſe Cafe Camphire Caufe Cauſe Coefficient Colour confequently confiderable defcribed Degrees Diſtance Eclipfes ejufmodi Equation etiam Experiments faid fame fecond feems feen felf feveral fhall fhew fhould fince firft firſt fixum fmall foliis folio fome fometimes Force fuch fufficient funt fuppofed greateſt hæc hath Height Hipparchus igne Inches incipit Inftrument laft laſt leaſt lefs likewife limbus Lisbon Lunæ meaſured Menfis modo moft moſt Motion Mountains muft muſt Number Obfervationes Obfervations Occafion Place pofitive prefent Propofition pulmonary Vein Purpoſe quæ quam Quantities quod quoque raiſed Rays Reaſon rife Roots Sal Alcali ſeems ſeveral Sir Hans Sloane Sir Ifaac ſmall Solis Star Subſtance Surface tamen tartari thefe themſelves theſe thofe thoſe Umbra uſe Vapour Veffel Velocity verò Water Weft whofe whoſe