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 22
... given point , and BC the given straight line ; it is re- quired to draw , from the point A , a straight line equal ... straight lines DA , BD , to E and F ; from the centre B , at the distance BC , describe ( 3. Post . ) the circle CGH ...
... given point , and BC the given straight line ; it is re- quired to draw , from the point A , a straight line equal ... straight lines DA , BD , to E and F ; from the centre B , at the distance BC , describe ( 3. Post . ) the circle CGH ...
Σελίδα 23
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB From the greater of two given straight lines to cut ...
... straight line AL is equal to BC . Wherefore , from the given point A , a straight line AL has been drawn equal to the given straight line BC . Which was to be done . PROP . III . PROB From the greater of two given straight lines to cut ...
Σελίδα 27
... straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to EF : therefore ... given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it ...
... straight line BC upon EF ; the point C shall also coincide with the point F , because BC is equal to EF : therefore ... given rectilineal angle , that is , to divide it into two equal angles . Let BAC be the given rectilineal angle , it ...
Σελίδα 28
... straight line AB is divided into two equal parts in the point D. Which was to be done . A D B PROP . XI . PROB . To draw a straight line at right angles to a given straight line , from a given point in that line . F Let AB be a given ...
... straight line AB is divided into two equal parts in the point D. Which was to be done . A D B PROP . XI . PROB . To draw a straight line at right angles to a given straight line , from a given point in that line . F Let AB be a given ...
Σελίδα 29
... a straight line standing on a straight line makes the adjacent angles equal to one another , each of them is a right angle , and the straight line which stands upon the other is called a perpendicular to it ; therefore from the given point ...
... a straight line standing on a straight line makes the adjacent angles equal to one another , each of them is a right angle , and the straight line which stands upon the other is called a perpendicular to it ; therefore from the given point ...
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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