Pure mathematics, Volumen11874 |
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Página 152
... coefficient of the other . Thus , taking the quantity 4 abc , we see that 4 is the coefficient of abc , 4 b that of ac , 4 c that of ab , 4 bc that of a , & c . We call 4 a numerical coefficient ; but when the coefficient contains a ...
... coefficient of the other . Thus , taking the quantity 4 abc , we see that 4 is the coefficient of abc , 4 b that of ac , 4 c that of ab , 4 bc that of a , & c . We call 4 a numerical coefficient ; but when the coefficient contains a ...
Página 153
... coefficients . Thus , 9x , 33 4 xyz , 12 ab are respectively like to the quantities 10 x , 5 y , xyz , 4 ab , while 3 ... coefficient of the common factor . And a similar rule will apply to the subtraction of such quantities . Thus , we ...
... coefficients . Thus , 9x , 33 4 xyz , 12 ab are respectively like to the quantities 10 x , 5 y , xyz , 4 ab , while 3 ... coefficient of the common factor . And a similar rule will apply to the subtraction of such quantities . Thus , we ...
Página 155
... coefficients of each column ; take the difference and prefix the sign of the greater , and annex the common letter . ( When the coefficients are all positive or all negative , we , of course , simply add them together and prefix the ...
... coefficients of each column ; take the difference and prefix the sign of the greater , and annex the common letter . ( When the coefficients are all positive or all negative , we , of course , simply add them together and prefix the ...
Página 159
... coefficient , it follows that the product of two terms having coefficients is found by multiplying the product of the coefficients by the product of the remaining factors . Thus , the product of 4 a and 3 b , or 4 a × 3 b = 12 ab ...
... coefficient , it follows that the product of two terms having coefficients is found by multiplying the product of the coefficients by the product of the remaining factors . Thus , the product of 4 a and 3 b , or 4 a × 3 b = 12 ab ...
Página 160
... coefficients . - These are to be multiplied like ordin- ary numbers . 3. The letters . The exponents of like letters are to be added together , and the powers so obtained written side by side with the unlike letters . Ex . 1 . 6 a2b Ex ...
... coefficients . - These are to be multiplied like ordin- ary numbers . 3. The letters . The exponents of like letters are to be added together , and the powers so obtained written side by side with the unlike letters . Ex . 1 . 6 a2b Ex ...
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Términos y frases comunes
a²b a²b² a²x² ab² ab³ ABCD algebraical algebraical quantity angle ABC angle BAC angle BCD angle EDF angle equal ax² base BC BC is equal bisect brackets cent centim centre circle ABC circumference coefficient common Const cube root decimal figures denominator distance divided divisor equation expression exterior angle factor Find the value fraction given rectilineal given straight line gram greater Hence join kilom less Let ABC logarithm metres millig Multiply opposite angles parallel parallelogram perpendicular PROOF.-Because Q. E. D. Proposition quotient ratio rectangle contained remainder right angles segment side BC square on AC square root subtraction term triangle ABC x²y x²y² x³y xy² xy³
Pasajes populares
Página 116 - Wherefore, if a straight line, &c. QED PROPOSITION XXVIII. THEOREM. If a straight line falling upon two other straight lines, make the exterior angle equal to...
Página 103 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle; and the straight line which stands on the other is called a perpendicular to it.
Página 113 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. either the sides adjacent to the equal...
Página 88 - A circle is a plane figure contained by one line, which is called the circumference, and is such, that all straight lines drawn from a certain point within the figure to the circumference are equal to one another : 16.
Página 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Página 94 - J which the equal sides are opposite, shall be equal, each to each, viz. the angle ABC to the angle DEF, and the angle ACB to DFE.
Página 271 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle ; the angles which this line makes with the line touching the circle, shall be equal to the angles which are in the alternate segments of the circle.
Página 91 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Página 112 - IMS the greater base shall be greater t/uin the angle contained by the sides equal to them of the other. Let ABC, DEF, be two triangles, which have The two sides AB, AC...
Página 128 - 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.