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 20
... angles . XXV . Of four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXVII . A ...
... angles . XXV . Of four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXVII . A ...
Σελίδα 31
... four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior ...
... four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the interior , and opposite angles . Let ABC be a triangle , and let its side BC be produced to D , the exterior ...
Σελίδα 40
... angles BGH , GHD upon the same side are together equal to two right angles . For if AGH be not equal to GHD , let KG ... four right angles ( 13. 1. ) of which the two , KGH , CHG are by supposition less than two right angles ; therefore ...
... angles BGH , GHD upon the same side are together equal to two right angles . For if AGH be not equal to GHD , let KG ... four right angles ( 13. 1. ) of which the two , KGH , CHG are by supposition less than two right angles ; therefore ...
Σελίδα 42
... angles are equal to four right angles . PROP . XXXIII . THEOR . The straight lines which 42 ELEMENTS.
... angles are equal to four right angles . PROP . XXXIII . THEOR . The straight lines which 42 ELEMENTS.
Σελίδα 51
... angles equal to two right an- gles ; therefore CA is in the same straight line ( 14. 1. ) with AG ; for the same reason , AB and AH are in the same straight line . Now because the angle DBC is equal to the angle FBA , each of them being a ...
... angles equal to two right an- gles ; therefore CA is in the same straight line ( 14. 1. ) with AG ; for the same reason , AB and AH are in the same straight line . Now because the angle DBC is equal to the angle FBA , each of them being a ...
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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