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, 1851 - 317 sider |
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Resultat 1-5 av 40
Side 10
... four straight lines . 18. Multilateral figures , or polygons , by more than four straight lines . 19. Of three sided ... right angled triangle is that which has a right angle . 23. An obtuse angled triangle is that which has an obtuse angle .
... four straight lines . 18. Multilateral figures , or polygons , by more than four straight lines . 19. Of three sided ... right angled triangle is that which has a right angle . 23. An obtuse angled triangle is that which has an obtuse angle .
Side 11
... sides equal to one another , but all its sides are not equal , nor its angles right angles . 29. All other four sided figures besides these , are called trapeziums . 30. Parallel straight lines are such as are in the same plane , and ...
... sides equal to one another , but all its sides are not equal , nor its angles right angles . 29. All other four sided figures besides these , are called trapeziums . 30. Parallel straight lines are such as are in the same plane , and ...
Side 20
... right angles ; but the angles ABC , ABD are likewise together equal to two right angles : therefore the angles CBA ... four right angles . COR . 2. And hence , all the angles made by any number of straight lines meeting in one ...
... right angles ; but the angles ABC , ABD are likewise together equal to two right angles : therefore the angles CBA ... four right angles . COR . 2. And hence , all the angles made by any number of straight lines meeting in one ...
Side 28
... angles ; therefore AB is parallel ( 27. 1. ) to CD . Again , because the angles BGH , GHD are equal ( hyp . ) to two right ... four angles KGH , HGL , CHG , GHD are together equal to four right angles ( 13. 1. ) of which the two , KGH ...
... angles ; therefore AB is parallel ( 27. 1. ) to CD . Again , because the angles BGH , GHD are equal ( hyp . ) to two right ... four angles KGH , HGL , CHG , GHD are together equal to four right angles ( 13. 1. ) of which the two , KGH ...
Side 29
... right angle , GHD will be a right angle also ; therefore every line perpendicular to one of two parallels , is perpendicular to the other . COR . 3. Since AGE = BGH , and DHF = CHG ; hence the four acute angles BGH , AGE , GHC , DHF ...
... right angle , GHD will be a right angle also ; therefore every line perpendicular to one of two parallels , is perpendicular to the other . COR . 3. Since AGE = BGH , and DHF = CHG ; hence the four acute angles BGH , AGE , GHC , DHF ...
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Vanlige uttrykk og setninger
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 Let the straight magnitudes meet multiple opposite angle parallel parallelogram parallelopiped perpendicular 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 touches the circle triangle ABC triangle DEF wherefore