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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 71.
Σελίδα 10
... four straight lines . 18. Multilateral figures , or polygons , by more than four straight lines . 19. Of three sided figures , an equilateral triangle is that which has three equal sides . 20. An isosceles triangle is that which has ...
... four straight lines . 18. Multilateral figures , or polygons , by more than four straight lines . 19. Of three sided figures , an equilateral triangle is that which has three equal sides . 20. An isosceles triangle is that which has ...
Σελίδα 11
... four sided figures besides these , are called trapeziums . 30. Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . 1. LET it be granted that a ...
... four sided figures besides these , are called trapeziums . 30. Parallel straight lines are such as are in the same plane , and which , being produced ever so far both ways , do not meet . POSTULATES . 1. LET it be granted that a ...
Σελίδα 17
... four equal parts , into eight , into sixteen , and so on . PROP . X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two ...
... four equal parts , into eight , into sixteen , and so on . PROP . X. PROB . To bisect a given finite straight line , that is , to divide it into two equal parts . Let AB be the given straight line ; it is required to divide it into two ...
Σελίδα 20
... four right angles . COR . 2. And 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 ...
... four right angles . COR . 2. And 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 ...
Σελίδα 28
... four angles KGH , HGL , CHG , GHD are together equal to four right angles ( 13. 1. ) of which the two , KGH , CHG , are by supposition less than 2 two right angles ; therefore the other two , HGL 28 ELEMENTS.
... four angles KGH , HGL , CHG , GHD are together equal to four right angles ( 13. 1. ) of which the two , KGH , CHG , are by supposition less than 2 two right angles ; therefore the other two , HGL 28 ELEMENTS.
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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