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 TrigonometryW.E. Dean, 1836 - 311 páginas |
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... demonstrating the propositions in the fifth book of Euclid's elements , according to the text and arrangement in Simson's edition . 12mo . Corrected and improved . BONNYCASTLE'S ALGEBRA : with Notes and Observa- tions , designed for the ...
... demonstrating the propositions in the fifth book of Euclid's elements , according to the text and arrangement in Simson's edition . 12mo . Corrected and improved . BONNYCASTLE'S ALGEBRA : with Notes and Observa- tions , designed for the ...
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... demonstrating more easily some of the properties of parallel lines . In the third Book , the re- marks concerning the angles made by a straight line , and the circumference of a circle , are left out , as tending to perplex one who has ...
... demonstrating more easily some of the properties of parallel lines . In the third Book , the re- marks concerning the angles made by a straight line , and the circumference of a circle , are left out , as tending to perplex one who has ...
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... demonstrate it to others when it has been found out . This is either Analytical or Syn- thetical . 16. Analysis , or the Analytic method , is the art or mode of finding out the truth of a proposition , by first supposing the thing to be ...
... demonstrate it to others when it has been found out . This is either Analytical or Syn- thetical . 16. Analysis , or the Analytic method , is the art or mode of finding out the truth of a proposition , by first supposing the thing to be ...
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... demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . C PROP . VIII . THEOR . E B D If two straight lines cut one another , the vertical , or opposite ...
... demonstrated , that no other can be in the same straight line with it but BD , which therefore is in the same straight line with CB . C PROP . VIII . THEOR . E B D If two straight lines cut one another , the vertical , or opposite ...
Página 14
... demonstrated that the angle BCG , that is ( 8. 1. ) the angle ACD , is greater than the angle ABC . PROP . X. THEOR . G Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any two of its ...
... demonstrated that the angle BCG , that is ( 8. 1. ) the angle ACD , is greater than the angle ABC . PROP . X. THEOR . G Any two angles of a triangle are together less than two right angles . Let ABC be any triangle ; any two of its ...
Otras ediciones - Ver todas
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Vista de fragmentos - 1836 |
Términos y frases comunes
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 draw Prob 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