## 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 |

### Inni boken

Resultat 1-5 av 41

Side 17

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**divided**into 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 ... Side 30

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**divided**into as many trian- gles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition , all the angles of these triangles are equal to twice as ... Side 32

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**divided**into four triangles , which contain eight right angles ; that is , as many times two right an- gles as there are units in the number of sides diminished by two . But to avoid all ambiguity , we shall henceforth limit our ... Side 49

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**divided**into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the several parts of the**divided**line . Let A and BC be two straight lines ; and let ... Side 50

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**divided**into any two parts , the square of the whole line is equal to the squares of the two parts , together with twice the rectangle con- tained by the parts . Let the straight line AB be**divided**into any two parts in C ; the square ...### Andre utgaver - Vis alle

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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1857 |

### 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