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 TrigonometryB. & S. Collins; W. E. Dean, printer, 1836 - 311 páginas |
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... greatly enlarged and im- proved , by Charles Anthon , LL . D. 12mo . LEMPRIERE'S CLASSICAL DICTIONARY ; containing the principal Names and Terms relating to the Geography , Topogra- A phy , History , Literature , and Mythology of the.
... greatly enlarged and im- proved , by Charles Anthon , LL . D. 12mo . LEMPRIERE'S CLASSICAL DICTIONARY ; containing the principal Names and Terms relating to the Geography , Topogra- A phy , History , Literature , and Mythology of the.
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... prove the truth of it ; but is received and assented to as soon as mentioned . Such as , the whole of any thing is greater ... proved . Thus , when it is said that the sum of the three angles of any plane tri- angle is equal to two right ...
... prove the truth of it ; but is received and assented to as soon as mentioned . Such as , the whole of any thing is greater ... proved . Thus , when it is said that the sum of the three angles of any plane tri- angle is equal to two right ...
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... proving that some absurdity would necessarily follow if the proposition advanced were false . This is sometimes called Reductio ad Absurdum ; because it shows the absurdity and falsehood of all suppositions contrary to that contained in ...
... proving that some absurdity would necessarily follow if the proposition advanced were false . This is sometimes called Reductio ad Absurdum ; because it shows the absurdity and falsehood of all suppositions contrary to that contained in ...
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... proved to be equal to GHD ; therefore EGB is likewise equal to GHD ; add to each of these the angle BGH ; therefore the angles EGB , BGH are equal to the angles BGH , GHD ; but EGB , BGH are equal ( 6. 1. ) to two right angles ...
... proved to be equal to GHD ; therefore EGB is likewise equal to GHD ; add to each of these the angle BGH ; therefore the angles EGB , BGH are equal to the angles BGH , GHD ; but EGB , BGH are equal ( 6. 1. ) to two right angles ...
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... proved that CA is equal to AB ; there- fore CA , CB are each of them equal to AB ; now things which are equal to the same are equal to one another ( 1. Ax . ) ; therefore CA is equal to CB ; wherefore , CA , AB , CB are equal to one ...
... proved that CA is equal to AB ; there- fore CA , CB are each of them equal to AB ; now things which are equal to the same are equal to one another ( 1. Ax . ) ; therefore CA is equal to CB ; wherefore , CA , AB , CB are equal to one ...
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ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC angles equal base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated diameter divided equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater Hence hypotenuse inscribed join less Let ABC Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular polygon prism PROP proposition quadrilateral radius ratio rectangle contained rectilineal figure remaining angle right angled triangle SCHOLIUM segment semicircle shewn side BC sine solid angle solid parallelopiped spherical angle spherical triangle square straight line BC THEOR third touches the circle triangle ABC triangle DEF wherefore