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 páginas |
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Página 18
... angle at E. " · ་ + VII . When a straight line standing on an- other straight line makes the adja- cent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called ...
... angle at E. " · ་ + VII . When a straight line standing on an- other straight line makes the adja- cent angles equal to one another , each of the angles is called a right angle ; and the straight line which stands on the other is called ...
Página 20
... angled triangle , is that which has three a ute angles . XXV . Of four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles ...
... angled triangle , is that which has three a ute angles . XXV . Of four sided figures , a square is that which has all its sides equal and all its angles right angles . XXVI . An oblong , is that which has all its angles right angles ...
Página 28
... right angles to a 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 ; it is re- quired to draw a straight line from the point C at right angles to AB . Take any point D ...
... right angles to a 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 ; it is re- quired to draw a straight line from the point C at right angles to AB . Take any point D ...
Página 29
... angles equal to one another , each of them is a right angle , and the straight line which stands upon the other is ... angles which one straight line makes with another upon one side of it , are either two right angles , or are together ...
... angles equal to one another , each of them is a right angle , and the straight line which stands upon the other is ... angles which one straight line makes with another upon one side of it , are either two right angles , or are together ...
Página 30
... angles CBE , EBD are two right angles . Now , the angle CBE is equal to the two angles CBA , ABE together ; add the angle EBD to each of these equals , and the two angles CBE , EBD , will be equal ( 2. Ax . ) to the three CBA , ABE ...
... angles CBE , EBD are two right angles . Now , the angle CBE is equal to the two angles CBA , ABE together ; add the angle EBD to each of these equals , and the two angles CBE , EBD , will be equal ( 2. Ax . ) to the three CBA , ABE ...
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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