## 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 6-10 av 51

Side 49

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**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 BC be divided into any parts in the ... Side 50

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**rectangle contained**by the whole and one of the parts , is equal to the**rectangle contained**by the two parts , together with the square of the aforesaid part . Let the straight line AB be divided into two parts , in the point C ; the ... Side 51

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**rectangle contained**by the unequal parts , together with the square of the line between the points of section , is equal to the square of half the line . Let the straight line AB be divided into two equal parts in the point C , and into ... Side 52

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**rectangle contained**by the whole line thus produced , and the part of it produced , together with the square of half the line bisected , is equal to the square of the straight line which is made up of the half and the part produced ... Side 53

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**rectangle contained**by the lines together with the square of " the difference of the lines . " SCHOLIUM . In this proposition , let AB be denoted by a , and the segments AC and CB by b and c ; then a2 = b2 + 26c + c2 ; adding c2 to each ...### Andre utgaver - Vis alle

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Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Uten tilgangsbegrensning - 1836 |

### 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