Pure mathematics, Τόμος 11874 |
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Αποτελέσματα 1 - 5 από τα 24.
Σελίδα 102
... bisect a given rectilineal angle , that is , to divide it into two equal parts . Let BAC be the given rectilineal angle . D A DEF e- quilateral . .. 4 DAF = 4EAF . It is required to bisect it . CONSTRUCTION . - Take any point D in AB ...
... bisect a given rectilineal angle , that is , to divide it into two equal parts . Let BAC be the given rectilineal angle . D A DEF e- quilateral . .. 4 DAF = 4EAF . It is required to bisect it . CONSTRUCTION . - Take any point D in AB ...
Σελίδα 103
... Bisect the angle ACB by the straight line CD ( I. 9 ) . Then AB shall be cut into two equal parts in the point D. C D B PROOF . - Because AC is equal to CB A ( Const . ) , and CD common to the two triangles ACD , BCD ; The two sides AC ...
... Bisect the angle ACB by the straight line CD ( I. 9 ) . Then AB shall be cut into two equal parts in the point D. C D B PROOF . - Because AC is equal to CB A ( Const . ) , and CD common to the two triangles ACD , BCD ; The two sides AC ...
Σελίδα 104
... Bisect FG in H. A F G B D CONSTRUCTION . - Take any point upon the other side of AB . From the centre C , at the distance CD , describe the circle EGF , meet- ing AB in F and G ( Post . 3 ) . Bisect FG in H ( I. 10 ) . Join CF , CH , CG ...
... Bisect FG in H. A F G B D CONSTRUCTION . - Take any point upon the other side of AB . From the centre C , at the distance CD , describe the circle EGF , meet- ing AB in F and G ( Post . 3 ) . Bisect FG in H ( I. 10 ) . Join CF , CH , CG ...
Σελίδα 108
... Bisect AC in E ( I. 10 ) . Join BE , and produce it to F , making EF equal to BE ( I. 3 ) , and join FC . -- PROOF . Because AE is equal to EC , and BE equal to EF ( Const . ) , AE , EB are equal to CE , EF , each to each ; And the ...
... Bisect AC in E ( I. 10 ) . Join BE , and produce it to F , making EF equal to BE ( I. 3 ) , and join FC . -- PROOF . Because AE is equal to EC , and BE equal to EF ( Const . ) , AE , EB are equal to CE , EF , each to each ; And the ...
Σελίδα 124
... bisects the parallelogram that is , divides it into two equal parts . Let ACDB be a parallelogram , of which BC is a diagonal ; The opposite sides and angles of the figure shall be equal to one another , And the diagonal BC shall bisect ...
... bisects the parallelogram that is , divides it into two equal parts . Let ACDB be a parallelogram , of which BC is a diagonal ; The opposite sides and angles of the figure shall be equal to one another , And the diagonal BC shall bisect ...
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amount base called cent centre circle common Const contained decimal denominator describe difference distance divided divisible divisor double draw drawn equal equation evident example expression factor figures Find four fraction give given greater half Hence hour integer interest join less letters logarithm measure meet metres miles Multiply negative obtained opposite parallel parallelogram pass perpendicular places positive PROOF.-Because Q. E. D. Proposition quantity quotient ratio rectangle Reduce remainder respectively result right angles rule segment sides square square root straight line subtraction third touch triangle twice units whole
Δημοφιλή αποσπάσματα
Σελίδα 272 - The angles in the same segment of a circle are equal to one another.
Σελίδα 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.
Σελίδα 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...
Σελίδα 112 - IF two triangles have two sides of the one equal to two sides of the...
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 273 - The opposite angles of any quadrilateral figure inscribed in a circle, are together equal to two right angles.
Σελίδα 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.
Σελίδα 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.