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 1 - 5 από τα 44.
Σελίδα 21
... Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . IX . The whole is greater than its part . Χ . All right angles are equal to one another . XI . " Two straight lines ...
... Magnitudes which coincide with one another , that is , which exactly fill the same space , are equal to one another . IX . The whole is greater than its part . Χ . All right angles are equal to one another . XI . " Two straight lines ...
Σελίδα 53
... magnitudes , signi- " fies that those magnitudes are to be added together , and the sign " -placed between them , signifies that the latter is to be taken away " from the former . " " The sign = signifies , that the things between which ...
... magnitudes , signi- " fies that those magnitudes are to be added together , and the sign " -placed between them , signifies that the latter is to be taken away " from the former . " " The sign = signifies , that the things between which ...
Σελίδα 107
... magnitudes of any " kind . The letters m , n , p , q , are used to denote numbers only . " 2. The sign + ( plus ) , written between two letters , that denote " magnitudes or numbers , signifies the sum of those magnitudes or " numbers ...
... magnitudes of any " kind . The letters m , n , p , q , are used to denote numbers only . " 2. The sign + ( plus ) , written between two letters , that denote " magnitudes or numbers , signifies the sum of those magnitudes or " numbers ...
Σελίδα 108
... magnitudes between " which it is placed are unequal , and that the magnitude to which the " opening of the lines is ... magnitudes , of the same kind , to one another , in respect of quantity . IV . Magnitudes are said to be of the ...
... magnitudes between " which it is placed are unequal , and that the magnitude to which the " opening of the lines is ... magnitudes , of the same kind , to one another , in respect of quantity . IV . Magnitudes are said to be of the ...
Σελίδα 109
... magnitudes , taken as in the fifth definition , the multiple of the first is greater than that of the second , but ... magnitudes greater than two , of which the first has to the second the same ratio that the second has to the ...
... magnitudes , taken as in the fifth definition , the multiple of the first is greater than that of the second , but ... magnitudes greater than two , of which the first has to the second the same ratio that the second has to the ...
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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