Elements of Geometry: Containing the First Six Books of Euclid, with a Supplement on the Quadrature of the Circle and the Geometry of Solids ; to which are Added Elements of Plane and Spherical TrigonometryE. Duyckinck, and George Long, 1824 - 333 σελίδες |
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Αποτελέσματα 11 - 15 από τα 66.
Σελίδα 88
... described from the cen- tre G , at the distance GA , shall pass through the point B ; let this be the circle AHB : And because from the point A the extremity of the diameter AE , AD is drawn at right angles to AE , therefore AD ( Cor ...
... described from the cen- tre G , at the distance GA , shall pass through the point B ; let this be the circle AHB : And because from the point A the extremity of the diameter AE , AD is drawn at right angles to AE , therefore AD ( Cor ...
Σελίδα 89
... described which contains an angle equal to the given angle at C. Which was to be done . PROP . XXXIV . PROB . To cut off a segment from a given circle which shall cont ain an angl equal to a given rectilineal angle . Let ABC be the ...
... described which contains an angle equal to the given angle at C. Which was to be done . PROP . XXXIV . PROB . To cut off a segment from a given circle which shall cont ain an angl equal to a given rectilineal angle . Let ABC be the ...
Σελίδα 93
... described about another figure , when all the sides of the circumscribed figure pass through the angular points of the figure about which it is described , each through each . III . A rectilineal figure is said to be inscribed in a ...
... described about another figure , when all the sides of the circumscribed figure pass through the angular points of the figure about which it is described , each through each . III . A rectilineal figure is said to be inscribed in a ...
Σελίδα 94
... described about a recti- lineal figure , when the circumference of the circle passes through all the angular points of the figure about which it is de- scribed . VII . A straight line is said to be placed in a circle , when the ...
... described about a recti- lineal figure , when the circumference of the circle passes through all the angular points of the figure about which it is de- scribed . VII . A straight line is said to be placed in a circle , when the ...
Σελίδα 96
... described about the circle ABC . Which was to be done . PROP . IV . PROB . To inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . E A D Bisect ( 9. 1. ) the angles ABC ...
... described about the circle ABC . Which was to be done . PROP . IV . PROB . To inscribe a circle in a given triangle . Let the given triangle be ABC ; it is required to inscribe a circle in ABC . E A D Bisect ( 9. 1. ) the angles ABC ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference cosine cylinder demonstrated diameter draw equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet multiple opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore