Pure Mathematics, Volumen11874 |
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Resultados 6-10 de 53
Página 108
... Q. E. D. Proposition 17. - Theorem . Any two angles of a triangle are together less than two right angles . Let ABC be any triangle . Any two of its angles together shall be less than two right angles . CONSTRUCTION . - Produce BC to D ...
... Q. E. D. Proposition 17. - Theorem . Any two angles of a triangle are together less than two right angles . Let ABC be any triangle . Any two of its angles together shall be less than two right angles . CONSTRUCTION . - Produce BC to D ...
Página 109
... Proposition 18. - Theorem . The greater side of every triangle is opposite the greater angle . Let ABC be a triangle , of which the side AC is greater AC > AB . than the ... Q. E. D. Given ABC > BCA . AC not = AB . PROPOSITIONS . 109.
... Proposition 18. - Theorem . The greater side of every triangle is opposite the greater angle . Let ABC be a triangle , of which the side AC is greater AC > AB . than the ... Q. E. D. Given ABC > BCA . AC not = AB . PROPOSITIONS . 109.
Página 110
... Q. E. D. Proposition 20. - Theorem , Any two sides of a triangle are together greater than the third side . Let ABC be a triangle ; Any two sides of it are together greater than the third side . CONSTRUCTION . - Produce BA to the point ...
... Q. E. D. Proposition 20. - Theorem , Any two sides of a triangle are together greater than the third side . Let ABC be a triangle ; Any two sides of it are together greater than the third side . CONSTRUCTION . - Produce BA to the point ...
Página 111
... Q. E.D. Proposition 21. - Theorem . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a greater ...
... Q. E.D. Proposition 21. - Theorem . If from the ends of the side of a triangle there be drawn two straight lines to a point within the triangle , these shall be less than the other two sides of the triangle , but shall contain a greater ...
Página 112
... Q. E. D. Proposition 22. — Problem . To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of these lines must be greater than the third ( I. 20 ) . Let A , B , C be the three given ...
... Q. E. D. Proposition 22. — Problem . To make a triangle of which the sides shall be equal to three given straight lines , but any two whatever of these lines must be greater than the third ( I. 20 ) . Let A , B , C be the three given ...
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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.