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 28
... given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral ... given straight line , from a given point in that line . F Let AB be a given straight line , and C a point given in it ...
... given straight line ; it is required to divide it into two equal parts . Describe ( 1. 1. ) upon it an equilateral ... given straight line , from a given point in that line . F Let AB be a given straight line , and C a point given in it ...
Σελίδα 29
... given point without it . Let AB be a given straight line , which may be length both ways , and let C be a point without it . draw a straight line perpendi- cular to AB from the point C. Take any point D upon the other side of AB , and ...
... given point without it . Let AB be a given straight line , which may be length both ways , and let C be a point without it . draw a straight line perpendi- cular to AB from the point C. Take any point D upon the other side of AB , and ...
Σελίδα 34
... given straight lines ; but any two whatever of these lines must be greater than the third ( 20. 1. ) Let A , B , C be the three given straight lines , of which any two whatever are greater than the third , viz . A and B greater than C ...
... given straight lines ; but any two whatever of these lines must be greater than the third ( 20. 1. ) Let A , B , C be the three given straight lines , of which any two whatever are greater than the third , viz . A and B greater than C ...
Σελίδα 35
... given straight lines , A , B , C. Which was to be done . PROP . XXIII . PROB . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . Let AB be the given straight line , and A the given ...
... given straight lines , A , B , C. Which was to be done . PROP . XXIII . PROB . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . Let AB be the given straight line , and A the given ...
Σελίδα 36
... given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two triangles have two sides of the one equal to two sides of the other ...
... given point A in the given straight line AB , the angle FAG is made equal to the given rectilineal angle DCE . Which was to be done . PROP . XXIV . THEOR . If two triangles have two sides of the one equal to two sides of the other ...
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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