First Principles of Algebra: Advanced Course |
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First Principles of Algebra: Complete Course - Primary Source Edition Nels Johann Lennes,Herbert Ellsworth Slaught No preview available - 2014 |
First Principles of Algebra: Complete Course Nels Johann Lennes,Herbert Ellsworth Slaught No preview available - 2014 |
Common terms and phrases
a²b² a³b ab² ab³ added algebra altitude arithmetic means arithmetic progression ax² binomial called Centigrade reading Clearing of fractions coefficients common factor corresponding cube root curve decimal denominator density divided division divisor equal numbers equivalent EXERCISES Find EXERCISES Solve exponent Fahrenheit reading feet per second Find the H. C. F. Find the numbers formula geometric means geometric progression given graph harmonic means harmonic progression Hence inches integers letter logarithm mantissa monomial multiplying negative number obtained pair of equations pairs of numbers points polynomial positive integers principle problem quadratic quotient radical expression radicand rational real number reduced satisfied solution square root Substituting subtract theorem tion trinomial v₁ values variables velocity w₁ weight x-axis x₁ x²y² xy³ zero
Popular passages
Page 456 - The logarithm of any power of a number is equal to the logarithm of the number multiplied by the exponent of the power.
Page 279 - Axioms (1) If equal numbers are added to equal numbers, the sums are equal.
Page 455 - Whence x — y is the logarithm m of — . QED n 180. Prop. 3. — The logarithm of a power of a number is the logarithm of the number multiplied by the index of the power. DEM. — Let a be the base, and x the logarithm of m.
Page 423 - The weight of a body above the earth's surface varies inversely as the square of its distance from the earth's center. If an object weighs 2000 pounds at the earth's surface, what would be its weight if it were 12,000 miles above the center of the earth, the radius of the earth being 4000 miles ? CHAPTER XI POWERS AND ROOTS 150.
Page 462 - ... 22. With what velocity must a body be thrown downward in order that it shall fall 360 feet in 3 seconds ? 23. A stone is dropped into a well, and the sound of its striking the bottom is heard in 3 seconds. How deep is the well if sound travels 1080 feet per second...
Page 471 - ... preceding term by the exponent of a in that term and dividing this product by a number one greater than the exponent of 6 in that term.
Page 463 - A geometric progression is a series of numbers in which any term after the first is obtained by multiplying the preceding term by a fixed number, called the common ratio. The...
Page 327 - A and B can do a piece of work in m days, B and C in n days, and C and A in p days. In what time can each alone jjerform the work ? 39.
Page 418 - The resistance offered by a wire to an electric current varies directly as its length and inversely as the area of its cross section.