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 TrigonometryJ.B. Lippincott, 1857 - 317 pagine |
Dall'interno del libro
Risultati 1-5 di 68
Pagina 8
... Hence two straight lines cannot inclose a space . Neither can two straight lines have a common segment ; that is , they cannot coincide " in part , without coinciding altogether . " ( 6 4. A superficies is that which has only length and ...
... Hence two straight lines cannot inclose a space . Neither can two straight lines have a common segment ; that is , they cannot coincide " in part , without coinciding altogether . " ( 6 4. A superficies is that which has only length and ...
Pagina 15
... Hence every equilateral triangle is also equiangular PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend or are opposite to them , are also equal to one another . Let ABC be a triangle ...
... Hence every equilateral triangle is also equiangular PROP . VI . THEOR . If two angles of a triangle be equal to one another , the sides which subtend or are opposite to them , are also equal to one another . Let ABC be a triangle ...
Pagina 20
... hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the ...
... hence , all the angles made by any number of straight lines meeting in one point , are together equal to four right angles . PROP . XVI . THEOR . If one side of a triangle be produced , the exterior angle is greater than either of the ...
Pagina 28
... Hence , when two straight lines are perpendicular to a third line , they will be parallel to each other . PROP . XXIX . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one ...
... Hence , when two straight lines are perpendicular to a third line , they will be parallel to each other . PROP . XXIX . THEOR . If a straight line fall upon two parallel straight lines , it makes the alternate angles equal to one ...
Pagina 29
... hence the four acute angles BGH , AGE , GHC , DHF , are equal to each other . The same is the case with the four obtuse angles EGB , AGH , GHD , CHF . It may be also observed , that , in adding one of the acute angles to one of the ob ...
... hence the four acute angles BGH , AGE , GHC , DHF , are equal to each other . The same is the case with the four obtuse angles EGB , AGH , GHD , CHF . It may be also observed , that , in adding one of the acute angles to one of the ob ...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ... Euclid,John Playfair Visualizzazione completa - 1853 |
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Parole e frasi comuni
ABC is equal ABCD adjacent angles altitude angle ABC angle ACB angle BAC base BC bisected centre chord circle ABC circumference cosine cylinder demonstrated described diameter divided draw equal and similar equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given rectilineal given straight line greater Hence hypotenuse inscribed join less Let ABC magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular plane polygon prism PROB PROP proportional 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