Pure Mathematics, Volumen11874 |
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Página 5
... algebraical considerations . The Geometry consists simply of the first three books of Euclid's Elements with exercises , the only point calling for remark being the marginal notes . I have found it useful in class teaching to put down ...
... algebraical considerations . The Geometry consists simply of the first three books of Euclid's Elements with exercises , the only point calling for remark being the marginal notes . I have found it useful in class teaching to put down ...
Página 143
... Algebraical Quantities . - 4. Let a distance AB be measured to the right along the line AX . And let a further distance BC be measured from 1 B B in the same direction . By the sum of these lines we mean the resulting distance of the ...
... Algebraical Quantities . - 4. Let a distance AB be measured to the right along the line AX . And let a further distance BC be measured from 1 B B in the same direction . By the sum of these lines we mean the resulting distance of the ...
Página 145
... will be the same as before . And the sum of the quantities - c , + a , + d , b , represents this final temperature , - Now , expressing the sum of these quantities by writing 5 K THE SUM OF ALGEBRAICAL QUANTITIES . 145.
... will be the same as before . And the sum of the quantities - c , + a , + d , b , represents this final temperature , - Now , expressing the sum of these quantities by writing 5 K THE SUM OF ALGEBRAICAL QUANTITIES . 145.
Página 146
... algebraical subtraction of a quantity is the same as the addition of the quantity with the sign of affection . reversed . 5. The algebraical addition of quantities is expressed by writing the quantities down side by side with their ...
... algebraical subtraction of a quantity is the same as the addition of the quantity with the sign of affection . reversed . 5. The algebraical addition of quantities is expressed by writing the quantities down side by side with their ...
Página 148
... algebraical expressions , as illustrations of the foregoing principles : - : - Ex . 1. - If a = 1 , b = 3 a +56 + 7 c . 2 , c = 4 , find the value of We have only to substitute the value of the letters in the given expression , putting ...
... algebraical expressions , as illustrations of the foregoing principles : - : - Ex . 1. - If a = 1 , b = 3 a +56 + 7 c . 2 , c = 4 , find the value of We have only to substitute the value of the letters in the given expression , putting ...
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Términos y frases comunes
a²b a²b² ab² ab³ ABCD algebraical angle ABC angle BAC angle BCD base BC BC is equal bisect brackets cent centim centre circle ABC circumference coefficient common Const cosec cube root decimal figures denominator divided divisor draw equation expression exterior angle factor Find the value fraction given straight line gnomon gram greater Hence integer join kilom less Let ABC logarithm metres miles millig Multiply opposite angles parallel parallelogram perpendicular PROOF.-Because Q. E. D. Proposition quotient ratio rectangle contained remainder right angles segment sides sin² sine square on AC square root subtraction touches the circle triangle ABC twice the rectangle x²y² x³y xy³
Pasajes populares
Página 272 - The angles in the same segment of a circle are equal to one another.
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 233 - If there be two straight lines, one of which is divided into any number of parts, the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line, and the several parts of the divided line. Let A and BC be two straight lines, and let BC be divided into any...
Página 112 - IF two triangles have two sides of the one equal to two sides of the...
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.
Página 119 - If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.
Página 113 - ... equal angles in each ; then shall the other sides be equal, each to each ; and also the third angle of the one to the third angle of the other.
Página 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Página 281 - The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle.
Página 121 - THE straight lines which join the extremities of two equal and parallel straight lines, towards the same parts, are also themselves equal and parallel.