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 32.
Σελίδα 94
... extremities of it are in the circumference of the circle .. PROP . I. PROB . In a given circle to place a straight line equal to a given straight line , not greater than the diameter of the circle . Let ABC be the given circle , and D ...
... extremities of it are in the circumference of the circle .. PROP . I. PROB . In a given circle to place a straight line equal to a given straight line , not greater than the diameter of the circle . Let ABC be the given circle , and D ...
Σελίδα 96
... extremities of the other two , and will touch the straight lines AB , BC , CA , because the angles at the points E , F , G are right angles , and the straight line which is drawn from the extre- mity of a diameter at right angles to it ...
... extremities of the other two , and will touch the straight lines AB , BC , CA , because the angles at the points E , F , G are right angles , and the straight line which is drawn from the extre- mity of a diameter at right angles to it ...
Σελίδα 97
... extremities of the other two , and be described about the triangle ABC , which was , to be done . COR . When the centre of the circle falls within the triangle , each of its angles is less than a right angle , each of them being in a ...
... extremities of the other two , and be described about the triangle ABC , which was , to be done . COR . When the centre of the circle falls within the triangle , each of its angles is less than a right angle , each of them being in a ...
Σελίδα 99
... extremities of the other three ; and will also touch the straight lines AB , BC , CD , DA , because the angles at the points E , F , H , K , are right ( 29. 1. ) angles , and because the straight line which is drawn from the extremity ...
... extremities of the other three ; and will also touch the straight lines AB , BC , CD , DA , because the angles at the points E , F , H , K , are right ( 29. 1. ) angles , and because the straight line which is drawn from the extremity ...
Σελίδα 104
... extremities of the other four , and touch the straight lines AB , BC , CD , DE , EA , because that the angles at the points G , H , K , L , M are right angles and that a straight line drawn from the extremity of the diameter of a circle ...
... extremities of the other four , and touch the straight lines AB , BC , CD , DE , EA , because that the angles at the points G , H , K , L , M are right angles and that a straight line drawn from the extremity of the diameter of a circle ...
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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