Easy Introduction to Mathematics, Band 2Barlett & Newman, 1814 |
Im Buch
Ergebnisse 1-5 von 54
Seite 5
... Half the difference of two magnitudes being added to half their sum , the result will be the greater ; and half the difference being subtracted from half the sum , the re- sult will be the less . COROLLARY . Hence it appears , that ...
... Half the difference of two magnitudes being added to half their sum , the result will be the greater ; and half the difference being subtracted from half the sum , the re- sult will be the less . COROLLARY . Hence it appears , that ...
Seite 6
... half the difference of any two magnitudes to half their sum , and the result will be the greater magnitude . Subtract half the difference from half the um , and the result will be the less . EXAMPLES . - 1 . Given the sum of two numbers ...
... half the difference of any two magnitudes to half their sum , and the result will be the greater magnitude . Subtract half the difference from half the um , and the result will be the less . EXAMPLES . - 1 . Given the sum of two numbers ...
Seite 44
... half as many combinations as there are permutations ; but the number of permutations in n things , taken two and two , has been shewn to be n.n - 1 ; therefore the number of combinations in n things , taken two and two , will be n.n - 1 ...
... half as many combinations as there are permutations ; but the number of permutations in n things , taken two and two , has been shewn to be n.n - 1 ; therefore the number of combinations in n things , taken two and two , will be n.n - 1 ...
Seite 47
... at 44 per cent . per annum ? Ans . half a year . 10. At what rate per cent . per annum will 7967. 15s . amount to 976l . Os . 44d . in 5 years ? Ans . 4 per cent . 11. Required the interest of 140l . 10s . 6d PART IV . 47 SIMPLE INTEREST .
... at 44 per cent . per annum ? Ans . half a year . 10. At what rate per cent . per annum will 7967. 15s . amount to 976l . Os . 44d . in 5 years ? Ans . 4 per cent . 11. Required the interest of 140l . 10s . 6d PART IV . 47 SIMPLE INTEREST .
Seite 54
... half the ratio a2 : b2 ; in like manner the ratio a3 : b3 is said to be triple the ratio a : b , and a : b one third the ratio a3 : b3 ; also a " : ba is said to be n times the ratio of a : b , and a : bone nth of the ra- tio of a : : b ...
... half the ratio a2 : b2 ; in like manner the ratio a3 : b3 is said to be triple the ratio a : b , and a : b one third the ratio a3 : b3 ; also a " : ba is said to be n times the ratio of a : b , and a : bone nth of the ra- tio of a : : b ...
Andere Ausgaben - Alle anzeigen
Häufige Begriffe und Wortgruppen
Algebra arithmetical progression axis base bisected called centre chord circle circumference CN² co-sec co-sine co-tan completing the square Conic Sections cube curve diameter distance divided draw EC² equal Euclid Euclid's Elements EXAMPLES.-1 find the numbers former fourth fraction geometrical geometrical progression given equation given ratio greater harmonical mean Hence infinite series inversely last term latter latus rectum less likewise logarithms magnitude method multiplied number of terms odd number parallel parallelogram perpendicular PN² polygon problem Prop proposition Q. E. D. Cor quadrant quotient radius rectangle remainder right angles rule secant shew shewn sides sine solidity straight line substituted subtract tangent theor theorems third triangle unknown quantity VC² versed sine whence wherefore whole numbers x=the
Beliebte Passagen
Seite 280 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Seite 235 - If two triangles have two sides of the one equal to two sides of the...
Seite 247 - TO a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Seite 62 - If four magnitudes are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their difference.
Seite 353 - In the same way it may be proved that a : b : : sin. A : sin. B, and these two proportions may be written a : 6 : c : : sin. A : sin. B : sin. C. THEOREM III. t8. 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. By Theorem II. we have a : b : : sin. A : sin. B.
Seite 232 - But things which are equal to the same are equal to one another...
Seite 256 - If a straight line be bisected, and produced to any point ; the rectangle contained by the whole line thus produced, and the part of it produced, together with the square of half the line bisected, is equal to the square of the straight line which is made up of the half and the part produced.
Seite 160 - Take the first term from the second, the second from the third, the third from the fourth, &c. and the remainders will form a new series, called the first order of
Seite 269 - II. Two magnitudes are said to be reciprocally proportional to two others, when one of the first is to one of the other magnitudes as the remaining one of the last two is to the remaining one of the first.
Seite 272 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.