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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Σελίδα 58
... rectangle contained by the lines together with the 66 square of the difference of the lines . " PROP . VIII . THEOR . If a straight line be divided into any two parts , four times the rectangle contained by the whole line , and one of ...
... rectangle contained by the lines together with the 66 square of the difference of the lines . " PROP . VIII . THEOR . If a straight line be divided into any two parts , four times the rectangle contained by the whole line , and one of ...
Σελίδα 61
... rectangle con- tained by the whole , and one of the parts , may be equal to the square of the other part . Let AB be the given straight line ; it is required to divide it into two parts , so that the rectangle contained by the whole ...
... rectangle con- tained by the whole , and one of the parts , may be equal to the square of the other part . Let AB be the given straight line ; it is required to divide it into two parts , so that the rectangle contained by the whole ...
Σελίδα 62
... rectangle contained by the side upon which , when produced , the perpendicular falls , and the straight . line intercepted betweeen the perpendicular and the obtuse angle . Let ABC be an obtuse angled triangle , having the obtuse angle ...
... rectangle contained by the side upon which , when produced , the perpendicular falls , and the straight . line intercepted betweeen the perpendicular and the obtuse angle . Let ABC be an obtuse angled triangle , having the obtuse angle ...
Σελίδα 63
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 Trigonometry John Playfair. Secondly , Let AD fall without the ...
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 Trigonometry John Playfair. Secondly , Let AD fall without the ...
Σελίδα 89
... rectangle con- tained by the segments of the other . Let the two straight lines AC , BD , within the circle ABCD , cut one another in the point E : the rectangle contained by AE , EC is equal to the rectangle contained by BE , ED . If ...
... rectangle con- tained by the segments of the other . Let the two straight lines AC , BD , within the circle ABCD , cut one another in the point E : the rectangle contained by AE , EC is equal to the rectangle contained by BE , ED . If ...
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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