Pure Mathematics, Volumen11874 |
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Página 90
Edward Atkins. Thus , the angle contained by the straight lines AB and BC is ... equal to one another , each of the angles is called a right angle ; and the ... equal to one another . 16. And this point is called the centre of the ...
Edward Atkins. Thus , the angle contained by the straight lines AB and BC is ... equal to one another , each of the angles is called a right angle ; and the ... equal to one another . 16. And this point is called the centre of the ...
Página 94
... BC is the line whose length is the sum of the lengths of AB and BC . - expresses subtraction ; thus AB - BC is the ... equal to AB ( Def . 15 ) . Because the point B is the centre of the circle ACE , BC is equal to BA ( Def . 15 ) ...
... BC is the line whose length is the sum of the lengths of AB and BC . - expresses subtraction ; thus AB - BC is the ... equal to AB ( Def . 15 ) . Because the point B is the centre of the circle ACE , BC is equal to BA ( Def . 15 ) ...
Página 95
... BC the given straight line . It is required to draw from the point A a straight line equal to BC . CONSTRUCTION . From the point A to B draw the straight Draw AB . line AB ( Post . 1 ) . Upon AB describe the equilateral triangle DAB ...
... BC the given straight line . It is required to draw from the point A a straight line equal to BC . CONSTRUCTION . From the point A to B draw the straight Draw AB . line AB ( Post . 1 ) . Upon AB describe the equilateral triangle DAB ...
Página 96
... equal to C , the less . A as centre and radius AD . A E B CONSTRUCTION . From the point A draw the straight line AD ... BC shall be equal to the base EF ; The triangle ABC shall be equal to the triangle DEF ; * Q. E. F. is an ...
... equal to C , the less . A as centre and radius AD . A E B CONSTRUCTION . From the point A draw the straight line AD ... BC shall be equal to the base EF ; The triangle ABC shall be equal to the triangle DEF ; * Q. E. F. is an ...
Página 97
... equal , each to each , viz . , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . PROOF . For if ... BC shall coincide with the base EF . Because the point B coinciding with E , and C with F , if the base BC do ...
... equal , each to each , viz . , the angle ABC to the angle DEF , and the angle ACB to the angle DFE . PROOF . For if ... BC shall coincide with the base EF . Because the point B coinciding with E , and C with F , if the base BC do ...
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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.