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 sider |
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Resultat 11-15 av 49
Side 88
... segment of the circle . Wherefore , if a straight line , & c . Q. E. D. PROP . XXXIII . PROB . Upon a given straight line to describe a segment of a circle , containing an angle equal to a given rectilineal angle . Let AB be the given ...
... segment of the circle . Wherefore , if a straight line , & c . Q. E. D. PROP . XXXIII . PROB . Upon a given straight line to describe a segment of a circle , containing an angle equal to a given rectilineal angle . Let AB be the given ...
Side 89
... segment AHB of a circle is described which contains an angle equal to the given angle at C. Which was to be done . PROP . XXXIV . PROB . To cut off a segment from a given circle which shall cont ain an angl equal to a given rectilineal ...
... segment AHB of a circle is described which contains an angle equal to the given angle at C. Which was to be done . PROP . XXXIV . PROB . To cut off a segment from a given circle which shall cont ain an angl equal to a given rectilineal ...
Side 95
... segment of the circle : But HAC is equal to the angle DEF ; therefore also the an- E F B G gle ABC is equal to DEF ; C for the same reason , the angle ACB is equal to the angle DFE ; there- fore the remaining angle BAC is equal ( 32. 1 ...
... segment of the circle : But HAC is equal to the angle DEF ; therefore also the an- E F B G gle ABC is equal to DEF ; C for the same reason , the angle ACB is equal to the angle DFE ; there- fore the remaining angle BAC is equal ( 32. 1 ...
Side 97
... segment less than a semicircle , is greater than a right angle . Wherefore , if the given triangle be acute angled , the centre of the circle falls it : if it be a right angled triangle , the centre is in the side opposite to the right ...
... segment less than a semicircle , is greater than a right angle . Wherefore , if the given triangle be acute angled , the centre of the circle falls it : if it be a right angled triangle , the centre is in the side opposite to the right ...
Side 100
... segment of the circle ; to each of these add the angle CDA ; therefore the whole angle BDA is equal to the two angles CDA , DAC ; but the exterior angle BCD is equal ( 32. 1. ) to the angles CDA , DAC ; therefore also BDA is equal to ...
... segment of the circle ; to each of these add the angle CDA ; therefore the whole angle BDA is equal to the two angles CDA , DAC ; but the exterior angle BCD is equal ( 32. 1. ) to the angles CDA , DAC ; therefore also BDA is equal to ...
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Vanlige uttrykk og setninger
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