Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement ... to which are Added, Elements of Plane and Sphericale Trigonometry ... From the Last London Ed., EnlJ.B. Lippincott & Company, 1866 - 317 páginas |
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Resultados 1-5 de 21
Página 17
... given rectilineal angle , that is , to divide it into two equal angles A Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( 3. 1. ) off AE equal to AD ; join DE , and upon ...
... given rectilineal angle , that is , to divide it into two equal angles A Let BAC be the given rectilineal angle , it is required to bisect it . Take any point D in AB , and from AC cut ( 3. 1. ) off AE equal to AD ; join DE , and upon ...
Página 24
... given straight lines , A , B C. SCHOLIUM . If one of the sides were greater than the sum of the other two , the arcs ... rectilineal angle equal to a given rectilineal angle . Let AB be the given straight line , and A the given point in ...
... given straight lines , A , B C. SCHOLIUM . If one of the sides were greater than the sum of the other two , the arcs ... rectilineal angle equal to a given rectilineal angle . Let AB be the given straight line , and A the given point in ...
Página 30
... given point A parallel to the given straight line BC . PROP . XXXII . THEOR . If a side of any triangle be produced ... rectilineal figure are equal to twice as many right angles as the figure has sides , wanting four right angles . For any ...
... given point A parallel to the given straight line BC . PROP . XXXII . THEOR . If a side of any triangle be produced ... rectilineal figure are equal to twice as many right angles as the figure has sides , wanting four right angles . For any ...
Página 31
... rectilineal figure are together equal to four right angles . Because every interior angle ABC , with its adjacent ... given , or merely their sum , the third will be found by subtracting that sum from two right angles . COR . 4. If two ...
... rectilineal figure are together equal to four right angles . Because every interior angle ABC , with its adjacent ... given , or merely their sum , the third will be found by subtracting that sum from two right angles . COR . 4. If two ...
Página 37
... given rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . I is required to describe a parallelogram that shall be equal to the given tri angle ABC , and have one of its angles equal to D. F G Bisect ...
... given rectilineal angle . Let ABC be the given triangle , and D the given rectilineal angle . I is required to describe a parallelogram that shall be equal to the given tri angle ABC , and have one of its angles equal to D. F G Bisect ...
Otras ediciones - Ver todas
Elements of Geometry; Containing the First Six Books of Euclid ... Euclid,John Playfair Vista completa - 1814 |
Términos y frases comunes
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROB PROP proportional proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore