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 páginas |
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Página 19
... figure contained by a diameter and the part of the circumference cut off by the diameter . XV . Rectilineal figures are those which are contained by straight lines . XVI . Trilateral figures , or triangles , by three straight lines ...
... figure contained by a diameter and the part of the circumference cut off by the diameter . XV . Rectilineal figures are those which are contained by straight lines . XVI . Trilateral figures , or triangles , by three straight lines ...
Página 42
... rectilineal figure are equal to twice as many right angles as the figure has sides , wanting four right angles . D For any rectilineal figure ABCDE can be divided into as many tri- angles as the figure has sides , by drawing straight ...
... rectilineal figure are equal to twice as many right angles as the figure has sides , wanting four right angles . D For any rectilineal figure ABCDE can be divided into as many tri- angles as the figure has sides , by drawing straight ...
Página 49
... rectilineal angle . It is required to apply to the straight line AB a parallelogram equal to the triangle C , and ... figure , and hav ing an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the ...
... rectilineal angle . It is required to apply to the straight line AB a parallelogram equal to the triangle C , and ... figure , and hav ing an angle equal to a given rectilineal angle . Let ABCD be the given rectilineal figure , and E the ...
Página 50
... triangle DBC to the parallelogram GM , the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the pa- rallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM ...
... triangle DBC to the parallelogram GM , the whole rectilineal figure ABCD is equal to the whole parallelogram KFLM ; therefore the pa- rallelogram KFLM has been described equal to the given rectilineal figure ABCD , having the angle FKM ...
Página 63
... rectilineal figure . Let A be the given rectilineal figure ; it is required to describe a square that shall be equal to A. Describe ( 45. 1. ) the rectangular parallelogram RCDE equal to the rectilineal figure A. If then the sides of it ...
... rectilineal figure . Let A be the given rectilineal figure ; it is required to describe a square that shall be equal to A. Describe ( 45. 1. ) the rectangular parallelogram RCDE equal to the rectilineal figure A. If then the sides of it ...
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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