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 sider |
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Side 26
... third angle of the one to the third angle of the other ( Th . 2. ) ; viz . the side AB to the side CD , and AC to BD , and the angle BAC equal to the angle BDC . And because the angle ABC is equal to the angle BCD , and the angle CBD to ...
... third angle of the one to the third angle of the other ( Th . 2. ) ; viz . the side AB to the side CD , and AC to BD , and the angle BAC equal to the angle BDC . And because the angle ABC is equal to the angle BCD , and the angle CBD to ...
Side 31
... third sides will also be equal , and the triangles will be identical . PROP . XXXVIII . THEOR . If the square described upon one of the sides of a triangle , be equivalent to the squares described upon the other two sides of it ; the ...
... third sides will also be equal , and the triangles will be identical . PROP . XXXVIII . THEOR . If the square described upon one of the sides of a triangle , be equivalent to the squares described upon the other two sides of it ; the ...
Side 36
... third . PROP . IX . PROB . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal ...
... third . PROP . IX . PROB . At a given point in a given straight line , to make a rectilineal angle equal to a given rectilineal angle . Let AB be the given straight line , and A the given point in it , and DCE the given rectilineal ...
Side 37
... third . Draw any straight line CD ; at a point therein , as B , make the angle CBA equal to one of the given an- gles , and the angle ABE equal to the other : the remaining angle EBD will be the third angle requir- ed ; because those ...
... third . Draw any straight line CD ; at a point therein , as B , make the angle CBA equal to one of the given an- gles , and the angle ABE equal to the other : the remaining angle EBD will be the third angle requir- ed ; because those ...
Side 59
... are greater ( 13 . 1. ) than the third , BE , EF are greater than BF ; but AE is equal to EB ; therefore AE and EF , that is , AF , is greater than BF : again , because C BE is equal to CE , and FE common OF GEOMETRY . BOOK III . 59.
... are greater ( 13 . 1. ) than the third , BE , EF are greater than BF ; but AE is equal to EB ; therefore AE and EF , that is , AF , is greater than BF : again , because C BE is equal to CE , and FE common OF GEOMETRY . BOOK III . 59.
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Elements Of Geometry John Playfair,William Wallace,John Davidsons Ingen forhåndsvisning tilgjengelig - 2023 |
Elements Of Geometry John Playfair,William Wallace,John Davidsons Ingen forhåndsvisning tilgjengelig - 2023 |
Vanlige uttrykk og setninger
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