The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
Dentro del libro
Resultados 1-5 de 38
Página 85
... chord of the greater circle , between the extremity of the diameter and the point of section of the perpendicular , will be double of the square on the corre- sponding chord of the lesser circle . 15. Divide a line in two points equally ...
... chord of the greater circle , between the extremity of the diameter and the point of section of the perpendicular , will be double of the square on the corre- sponding chord of the lesser circle . 15. Divide a line in two points equally ...
Página 86
... F any other point in AD : shew that the squares on AF , BF , CF , DF are together greater than the squares on AE , BE , CE , DE by four times the square on EF . 24. If from the extremities of any chord in a 86 EXERCISES .
... F any other point in AD : shew that the squares on AF , BF , CF , DF are together greater than the squares on AE , BE , CE , DE by four times the square on EF . 24. If from the extremities of any chord in a 86 EXERCISES .
Página 87
Euclides. 24. If from the extremities of any chord in a circle lines be drawn to any point in the diameter to which it is parallel , the sum of their squares is equal to the sum of the squares upon the segments of the ... chord in a ...
Euclides. 24. If from the extremities of any chord in a circle lines be drawn to any point in the diameter to which it is parallel , the sum of their squares is equal to the sum of the squares upon the segments of the ... chord in a ...
Página 129
... chord are together equal to the squares on the segments of the diameter . D In the circle ABD , let CD be a chord parallel to the diameter AB ; take any point P in AB , and let PC , PD be joined : the squares on PC , PD shall be ...
... chord are together equal to the squares on the segments of the diameter . D In the circle ABD , let CD be a chord parallel to the diameter AB ; take any point P in AB , and let PC , PD be joined : the squares on PC , PD shall be ...
Página 133
... chord PAQ cuts the diameter of a circle at A in an angle which is half a right angle : shew that the squares on AP and AQ are together double of the square on the radius . 6. If two chords intersect in a circle , the difference of their ...
... chord PAQ cuts the diameter of a circle at A in an angle which is half a right angle : shew that the squares on AP and AQ are together double of the square on the radius . 6. If two chords intersect in a circle , the difference of their ...
Términos y frases comunes
AB² ABCD AC² AD² adjacent angles angle ABC angle ACB angle BAC angle equal base BC BC is equal centre chord circle ABC circumference diameter double draw equal angles equal to F equiangular equilateral triangle equimultiples exterior angle fore given circle given line given point given rectilineal given straight line gnomon hypotenuse inscribed intersection isosceles triangle join less Let ABC lines be drawn lines drawn meet multiple opposite angles parallel to BC parallelogram perpendicular plane polygon PROB produced proportionals Q. E. D. PROP rectangle contained rectilineal figure remaining angle right angles segment semicircle shew shewn square on AC tangents THEOR touches the circle triangle ABC twice the rectangle vertex Wherefore