Elements of Geometry; Containing the First Six Books of Euclid ...For Bell & Bradfute, 1814 - 461 Seiten |
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Seite 21
... angles . XXV . Of four sided figures , a square is that which has all its sides equal , and all its angles right angles . Book I. XXVI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXVII ...
... angles . XXV . Of four sided figures , a square is that which has all its sides equal , and all its angles right angles . Book I. XXVI . An oblong , is that which has all its angles right angles , but has not all its sides equal . XXVII ...
Seite 32
... right angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to AB . F Take any point D ...
... right angles to a given straight line , from a given point in that line . Let AB be a given straight line , and C a point given in it ; it is required to draw a straight line from the point C at right angles to AB . F Take any point D ...
Seite 33
... angle CHF is equal to the angle CHG ; and they are adja- cent angles ; now when a straight line standing on a straight line makes the adjacent angles equal to one ano- ther , each of them is a right angle , and the straight line which ...
... angle CHF is equal to the angle CHG ; and they are adja- cent angles ; now when a straight line standing on a straight line makes the adjacent angles equal to one ano- ther , each of them is a right angle , and the straight line which ...
Seite 34
... angle CBA be equal to ABD , each of them is a right angle ; but , if not , from the point B draw BE D B C D E A B b 11. 1 . с at right angles to CD ; therefore the angles CBE , EBD are two right angles . Now , the angle CBE is equal to the ...
... angle CBA be equal to ABD , each of them is a right angle ; but , if not , from the point B draw BE D B C D E A B b 11. 1 . с at right angles to CD ; therefore the angles CBE , EBD are two right angles . Now , the angle CBE is equal to the ...
Seite 35
... angles ABC , ABE are together equal to two right angles ; but the angles ABC , a 13. 1 . ABD are likewise together equal to two right angles ; therefore the angles CBA , ABE are equal to the angles CBA , ABD : Take away the common angle ...
... angles ABC , ABE are together equal to two right angles ; but the angles ABC , a 13. 1 . ABD are likewise together equal to two right angles ; therefore the angles CBA , ABE are equal to the angles CBA , ABD : Take away the common angle ...
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ABC is equal ABCD altitude angle ABC angle ACB angle BAC arch AC base BC bisected Book centre circle ABC circumference cosine cylinder definition demonstrated described diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles GEOMETRY given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelogram perpendicular polygon prism PROB proportional 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 SPHERICAL TRIGONOMETRY straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore