The Elements of EuclidLongmans, Green and Company, 1866 - 376 páginas |
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Resultados 1-5 de 62
Página 111
... inscribed in a circle are together equal to two right angles . Let ABCD be a quadrilateral figure inscribed in a circle any two of its opposite angles shall be together equal to two right angles . Join AC , BD . Then , because the three ...
... inscribed in a circle are together equal to two right angles . Let ABCD be a quadrilateral figure inscribed in a circle any two of its opposite angles shall be together equal to two right angles . Join AC , BD . Then , because the three ...
Página 132
... inscribed in a circle be produced to meet , and from the two points of in- tersection tangents be drawn to the circle , the squares on these tangents are together equal to the square on the straight line joining the points of ...
... inscribed in a circle be produced to meet , and from the two points of in- tersection tangents be drawn to the circle , the squares on these tangents are together equal to the square on the straight line joining the points of ...
Página 138
... inscribed in a circle , DEF a diameter cutting BC at right angles at E : shew that the difference of the angles at B and C is double of the angle AFD . 57. ACB , ADB are arcs of equal circles , on the same line AB and on the same side ...
... inscribed in a circle , DEF a diameter cutting BC at right angles at E : shew that the difference of the angles at B and C is double of the angle AFD . 57. ACB , ADB are arcs of equal circles , on the same line AB and on the same side ...
Página 139
... inscribed in a circle , and the adjacent arcs cut off by two of its sides be bisected , the line joining the points of section will be trisected by the sides . 65. The vertical angle of any oblique - angled triangle , inscribed in a ...
... inscribed in a circle , and the adjacent arcs cut off by two of its sides be bisected , the line joining the points of section will be trisected by the sides . 65. The vertical angle of any oblique - angled triangle , inscribed in a ...
Página 142
... AD.AP denotes the rectangle of AD and AP . + A plane locus is a line or path , such that every point in it , and no point out of it , satisfies certain conditions 96. If a semicircle be inscribed in a right - 142 EXERCISES .
... AD.AP denotes the rectangle of AD and AP . + A plane locus is a line or path , such that every point in it , and no point out of it , satisfies certain conditions 96. If a semicircle be inscribed in a right - 142 EXERCISES .
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