Pure mathematics, Volume 11874 |
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Page 16
... equal parts , and that we have taken 3 of those parts . The fraction is read three fifths ; each of the equal parts into which unity has been divided being called a fifth . The denominator of a fraction is the lower number , and ...
... equal parts , and that we have taken 3 of those parts . The fraction is read three fifths ; each of the equal parts into which unity has been divided being called a fifth . The denominator of a fraction is the lower number , and ...
Page 92
... equal , and all its angles right angles . 31. An oblong is that which has all its angles right angles , but not all ... equals be taken from equals the remainders are 92 GEOMETRY .
... equal , and all its angles right angles . 31. An oblong is that which has all its angles right angles , but not all ... equals be taken from equals the remainders are 92 GEOMETRY .
Page 93
Edward Atkins. 3. If equals be taken from equals the remainders are equal . 4. If equals be added to unequals the wholes are unequal . 5. If equals be taken from unequals the remainders are unequal . 6. Things which are double of the ...
Edward Atkins. 3. If equals be taken from equals the remainders are equal . 4. If equals be added to unequals the wholes are unequal . 5. If equals be taken from unequals the remainders are unequal . 6. Things which are double of the ...
Page 94
... equal to AB ( Def . 15 ) . Because the point B is the centre of the circle ACE , BC is equal to BA ( Def . 15 ) . Therefore AC and BC are each of them equal to AB . But things which are equal to the same thing are equal to one another ...
... equal to AB ( Def . 15 ) . Because the point B is the centre of the circle ACE , BC is equal to BA ( Def . 15 ) . Therefore AC and BC are each of them equal to AB . But things which are equal to the same thing are equal to one another ...
Page 95
... equal to BC . CONSTRUCTION . From the point A to B draw the straight Draw AB . line AB ( Post . 1 ) . Upon AB ... equal to BC . PROOF . - Because the point B is the centre of the circle CGH , BC is equal to BG ( Def . 15 ) . D quilateral ...
... equal to BC . CONSTRUCTION . From the point A to B draw the straight Draw AB . line AB ( Post . 1 ) . Upon AB ... equal to BC . PROOF . - Because the point B is the centre of the circle CGH , BC is equal to BG ( Def . 15 ) . D quilateral ...
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Common terms and phrases
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
Popular passages
Page 272 - The angles in the same segment of a circle are equal to one another.
Page 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.
Page 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...
Page 112 - IF two triangles have two sides of the one equal to two sides of the...
Page 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.
Page 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.
Page 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.
Page 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Page 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.
Page 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.