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 TrigonometryLippincott, Grambo & Company, 1854 - 317 σελίδες |
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Σελίδα 37
... triangle ABC , having one of its angles CEF equal to the given angle D. COR . Hence , if the angle D be a right angle , the parallelogram EFGC will be a rectangle , equivalent to the triangle ABC ; and therefore the same construction ...
... triangle ABC , having one of its angles CEF equal to the given angle D. COR . Hence , if the angle D be a right angle , the parallelogram EFGC will be a rectangle , equivalent to the triangle ABC ; and therefore the same construction ...
Σελίδα 38
... triangle may be converted into an equivalent rectangle , having a side of a given length : for , if the angle D be a right angle , and AB the given side , the parallelogram ABML will be a rectangle equiva lent to the triangle C. ; PROP ...
... triangle may be converted into an equivalent rectangle , having a side of a given length : for , if the angle D be a right angle , and AB the given side , the parallelogram ABML will be a rectangle equiva lent to the triangle C. ; PROP ...
Σελίδα 46
... triangle will at length be found . COR . Since a triangle may be converted into an equivalent rectangle it follows that any polygon may be reduced to an equivalent rectangle . PROP . H. PROB . To find the side of a square that shall be ...
... triangle will at length be found . COR . Since a triangle may be converted into an equivalent rectangle it follows that any polygon may be reduced to an equivalent rectangle . PROP . H. PROB . To find the side of a square that shall be ...
Σελίδα 47
... rectangle GFKC , having the side FG of a given H length , is equal to the given rectangle AEFH ( 43. 1. ) B E F K C G COR . A polygon may be converted into an equivalent rectangle , having one of its sides of a given length . ELEMENTS ...
... rectangle GFKC , having the side FG of a given H length , is equal to the given rectangle AEFH ( 43. 1. ) B E F K C G COR . A polygon may be converted into an equivalent rectangle , having one of its sides of a given length . ELEMENTS ...
Σελίδα 48
... rectangle contained by AD and DC , we shall simply say " the rectangle AD . DC , placing a point between the two sides of the " rectangle . " A. In Geometry , the product of two lines means the same thing as their rectangle , and this ...
... rectangle contained by AD and DC , we shall simply say " the rectangle AD . DC , placing a point between the two sides of the " rectangle . " A. In Geometry , the product of two lines means the same thing as their rectangle , and this ...
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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