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 53
... rectangle contained by AD and DC , we shall " simply say the rectangle AD.DC , placing a point between the two " sides of the rectangle Also , instead of the square of a line , for " instance of AD , we shall frequently in what follows ...
... rectangle contained by AD and DC , we shall " simply say the rectangle AD.DC , placing a point between the two " sides of the rectangle Also , instead of the square of a line , for " instance of AD , we shall frequently in what follows ...
Σελίδα 54
... rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and BC be two straight lines ; and let BC be divided into any parts in the ...
... rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and BC be two straight lines ; and let BC be divided into any parts in the ...
Σελίδα 55
... rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts , together with the square of the foresaid part . Let the straight line AB be divided into two parts in the point C ; the ...
... rectangle contained by the whole and one of the parts , is equal to the rectangle contained by the two parts , together with the square of the foresaid part . Let the straight line AB be divided into two parts in the point C ; the ...
Σελίδα 56
... rectangle contained by the unequal parts , together with the square of the line between the points of section , is equal to the square of half the line . Let the straight line AB be divided into two equal parts in the point C , and into ...
... rectangle contained by the unequal parts , together with the square of the line between the points of section , is equal to the square of half the line . Let the straight line AB be divided into two equal parts in the point C , and into ...
Σελίδα 57
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. D ; the rectangle AD.DB , together ...
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. D ; the rectangle AD.DB , together ...
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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 definition 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 MDCCCXX 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