The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by Jasoda Nandan Sircar1878 |
Inni boken
Resultat 1-5 av 18
Side 5
... the circumference , are equal to one another . [ Figure ABCD : Prop . 1. is a circle . ] VII . And this point is called the centre of the circle . VIII . [ A diameter of a circle is a THE ELEMENTS OF PLANE GEOMETRY. ...
... the circumference , are equal to one another . [ Figure ABCD : Prop . 1. is a circle . ] VII . And this point is called the centre of the circle . VIII . [ A diameter of a circle is a THE ELEMENTS OF PLANE GEOMETRY. ...
Side 5
... centre , and terminated both ways by the circumfer- ence . The straight line AC in figure : Prop . 1. is a diameter . ] IX . A radius is a straight line drawn from the centre to the circumference . [ The straight line FA in the circle ...
... centre , and terminated both ways by the circumfer- ence . The straight line AC in figure : Prop . 1. is a diameter . ] IX . A radius is a straight line drawn from the centre to the circumference . [ The straight line FA in the circle ...
Side 7
... centre . Let AC a straight line pass through the centre and be terminated both ways by the circumference at the points A and C. AC divides the circle ABCD into two equal parts ABC and ADC . A * Given a circle , the centre and a diameter ...
... centre . Let AC a straight line pass through the centre and be terminated both ways by the circumference at the points A and C. AC divides the circle ABCD into two equal parts ABC and ADC . A * Given a circle , the centre and a diameter ...
Side 8
... centre to the cir- cumference are equal ( Def . 6 ) , therefore all the straight lines drawn from F to the different points in the circum- ference ABCD are equal ; therefore FD , which is drawn from F the centre to D a point in the ...
... centre to the cir- cumference are equal ( Def . 6 ) , therefore all the straight lines drawn from F to the different points in the circum- ference ABCD are equal ; therefore FD , which is drawn from F the centre to D a point in the ...
Side 11
... equal to the angle at C. D From the centre A with AB or AC , draw a circle BCFD . Produce BA and g CA and make AF and AD equal to BA or CA ( def . 6. ) Join DF . Because in the two isosceles triangles ABC and ADF , ( 11 )
... equal to the angle at C. D From the centre A with AB or AC , draw a circle BCFD . Produce BA and g CA and make AF and AD equal to BA or CA ( def . 6. ) Join DF . Because in the two isosceles triangles ABC and ADF , ( 11 )
Vanlige uttrykk og setninger
AB is equal AC is equal angle ABC angle ADB angle BAC angle DEF angle EDF angles are equal arc BC base BC base CD bisected centre circle ABCD circumference coincide conversely diameter draw duplicate ratio equal angles equal Ax equal to AC equiangular equimultiples Euclid exterior angle figure described fore given straight lines greater Hindoo Geometry homologous isosceles triangle Join Let ABC mean proportionals multiple opposite angles parallel parallelogram AC perpendicular point F polygon produced Q. E. D. Cor Q.E.D. PROP rectangle contained rectilineal figure regular polygon remaining angle right angles sector BGC sector EHF segment semicircle side BC square of BC straight line &c THEOREM third angle touches the circle triangle ABC Wherefore whole angle
Populære avsnitt
Side 10 - If two triangles have two sides of the one equal to two sides of the...
Side 39 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 5 - 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.
Side 40 - ... figure, together with four right angles, are equal to twice as many right angles as the figure has be divided into as many triangles as the figure has sides, by drawing straight lines from a point F within the figure to each of its angles.
Side 79 - THE rectangle contained by the diagonals of a quadrilateral inscribed in a circle, is equal to both the rectangles contained by its opposite sides.* Let ABCD be any quadrilateral inscribed in a circle, and join AC, BD ; the.
Side 74 - Any two sides of a triangle are together greater than the third side.
Side 47 - In every triangle, the square on the side subtending either of the acute angles, is less than the squares on the sides containing that angle, by twice the rectangle contained by either of these sides, and the straight line intercepted between the...
Side 53 - ... figures are to one another in the duplicate ratio of their homologous sides.
Side 62 - ... in a segment less than a semicircle, is greater than a right angle...
Side 59 - The angles in the same segment of a circle are equal to one another.