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 11 - 15 από τα 74.
Σελίδα 47
... straight line , are between the same parallels . Let the equal triangles ABC , DEF be upon equal basis BC , EF , in ... given triangle , and have one of its angles equal to a given rectilineal angle Let ABC be the given triangle ...
... straight line , are between the same parallels . Let the equal triangles ABC , DEF be upon equal basis BC , EF , in ... given triangle , and have one of its angles equal to a given rectilineal angle Let ABC be the given triangle ...
Σελίδα 48
... a parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect ( 10. 1. ) BC in E , join AE , and at the point E in the straight line EC make ( 23 1. ) the augle CEF equal te D ; and through A ...
... a parallelogram that shall be equal to the given triangle ABC , and have one of its angles equal to D. Bisect ( 10. 1. ) BC in E , join AE , and at the point E in the straight line EC make ( 23 1. ) the augle CEF equal te D ; and through A ...
Σελίδα 49
... given straight line to apply a parallelogram , which shall be equal to a given triangle , and have one of its angles equal to a given recti- lineal angle . Let AB be the given straight line , and C the given triangle , and D the ...
... given straight line to apply a parallelogram , which shall be equal to a given triangle , and have one of its angles equal to a given recti- lineal angle . Let AB be the given straight line , and C the given triangle , and D the ...
Σελίδα 50
... straight line GH ( 44. 1. ) apply the parallelogram GM equal to the triangle DBC , having the angle GHM equal to the ... given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR ...
... straight line GH ( 44. 1. ) apply the parallelogram GM equal to the triangle DBC , having the angle GHM equal to the ... given rectilineal figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR ...
Σελίδα 51
... straight line AD meeting the parallels , AB , DE , makes the angles BAD , ADE equal ( 29 . 1. ) to two right angles ... given straight line AB : Which was to be done . Cor . Hence every parallelogram that has one right angle has ...
... straight line AD meeting the parallels , AB , DE , makes the angles BAD , ADE equal ( 29 . 1. ) to two right angles ... given straight line AB : Which was to be done . Cor . Hence every parallelogram that has one right angle has ...
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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