Pure Mathematics, Volumen11874 |
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Página 94
... Let AB be the given straight line . It is required to describe an ... ABC shall be an equilateral triangle . PROOF . - Because the point A is the ... ABC is equilateral , and it is de- scribed on the given straight line AB ...
... Let AB be the given straight line . It is required to describe an ... ABC shall be an equilateral triangle . PROOF . - Because the point A is the ... ABC is equilateral , and it is de- scribed on the given straight line AB ...
Página 96
... Let ABC , DEF be two triangles which have The two sides AB , AC , equal to the two sides DE , DF , A E each to each , viz . , AB equal to DE , and AC equal to DF . And the angle BAC equal to the angle EDF : -then- The base BC shall be ...
... Let ABC , DEF be two triangles which have The two sides AB , AC , equal to the two sides DE , DF , A E each to each , viz . , AB equal to DE , and AC equal to DF . And the angle BAC equal to the angle EDF : -then- The base BC shall be ...
Página 97
... ABC to the angle DEF , and the angle ACB to the angle DFE . PROOF . For if the triangle ABC be applied to ( or ... Let ABC be an isosceles triangle , of which the side AB is AB AC . equal to the side AC . Let the straight lines AB ...
... ABC to the angle DEF , and the angle ACB to the angle DFE . PROOF . For if the triangle ABC be applied to ( or ... Let ABC be an isosceles triangle , of which the side AB is AB AC . equal to the side AC . Let the straight lines AB ...
Página 99
... Let ABC be a triangle having the angle ABC equal to the angle ACB . The side AB shall be equal to the side AC . For if AB be not equal to AC , one of them is greater Suppose than the other . Let AB be the greater . AB > AC ...
... Let ABC be a triangle having the angle ABC equal to the angle ACB . The side AB shall be equal to the side AC . For if AB be not equal to AC , one of them is greater Suppose than the other . Let AB be the greater . AB > AC ...
Página 101
... Let ABC , DEF be two triangles which have = and > 4 BCD . The two sides AB , AC equal to the two sides DE , DF , Given DE , each to each , viz . , AB to DĒ , and AC to DF , And the base BC equal to the base EF . The angle BAC shall be ...
... Let ABC , DEF be two triangles which have = and > 4 BCD . The two sides AB , AC equal to the two sides DE , DF , Given DE , each to each , viz . , AB to DĒ , and AC to DF , And the base BC equal to the base EF . The angle BAC shall be ...
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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.