Elements of Geometry: Containing the First Six Books of Euclid: With a Supplement on the Quadrature of the Circle and the Geometry of Solids ...J. Eastburn & Company, 1819 - 317 páginas |
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Página 53
... rectangle , is said to be con- tained by any two of the straight lines which are about one of the right angles . 66 " Thus the right angled parallelogram AC is called the rectangle " contained ... contained by AD and DC , we shall simply say ...
... rectangle , is said to be con- tained by any two of the straight lines which are about one of the right angles . 66 " Thus the right angled parallelogram AC is called the rectangle " contained ... contained by AD and DC , we shall simply say ...
Página 54
... 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 ...
... 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 ...
Página 55
... 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 foresaid part . Let the straight line AB be divided into two parts in the point C ; the ...
... 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 foresaid part . Let the straight line AB be divided into two parts in the point C ; the ...
Página 56
... 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 ...
... 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 ...
Página 57
... rectangle AD.DB , together with the square of CB , is equal to the square of CD . A C B D Upon CD describe ( 46. 1. ) the square CEFD , join DE , and through B draw ( 31. 1. ) BHG parallel to CE or DF , and through H draw KLM parallel ...
... rectangle AD.DB , together with the square of CB , is equal to the square of CD . A C B D Upon CD describe ( 46. 1. ) the square CEFD , join DE , and through B draw ( 31. 1. ) BHG parallel to CE or DF , and through H draw KLM parallel ...
Outras edições - Ver tudo
Elements of Geometry: Containing the First Six Books of Euclid : with a ... John Playfair Visualização integral - 1837 |
Elements of Geometry: Containing the First Six Books of Euclid: With a ... John Playfair Visualização integral - 1854 |
Elements of Geometry: Containing the First Six Books of Euclid, with a ... John Playfair Visualização integral - 1824 |
Palavras e frases frequentes
ABC is equal ABCD altitude angle ABC angle ACB angle BAC angle EDF arch AC base BC bisected centre circle ABC circumference common section cosine cylinder demonstrated diameter draw drawn equal angles equiangular equilateral equilateral polygon equimultiples Euclid exterior angle fore four right angles given straight line greater hypotenuse inscribed join less Let ABC Let the straight line BC magnitudes meet opposite angle parallel parallelepipeds parallelogram perpendicular polygon prism PROB produced proportionals proposition Q. E. D. COR Q. E. D. PROP radius ratio rectangle contained rectilineal figure remaining angle segment semicircle shewn side BC sine solid angle solid parallelepipeds spherical angle spherical triangle straight line AC THEOR third touches the circle triangle ABC triangle DEF wherefore
Passagens conhecidas
Página 153 - If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle...
Página 19 - A circle is a plane figure contained by one line, which is called the circumference, and is such that all straight lines drawn from a certain point within the figure to the circumference, are equal to one another.
Página 33 - THE greater angle of every triangle is subtended by the greater side, or has the greater side opposite to it.
Página 292 - If a straight line meet two straight lines, so as to make the two interior angles on the same side of it taken together less than two right angles...
Página 308 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Página 36 - IF two triangles have two sides of the one equal to two sides of the other, each to each, but the angle contained by the two sides of one of them greater than the angle contained by the two sides equal to them, of the other ; the base of that which has the greater angle shall be greater than the base of the other.
Página 18 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Página 78 - To draw a straight line from a given point, either without or in the circumference, which shall touch a given circle. First, let A be a given point without the given circle BCD : it is required to draw a straight line from A which shall touch the circle.
Página 77 - THE straight line drawn at right angles to the diameter of a circle, from the extremity of it, falls without the circle...
Página 39 - If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the too interior angles upon the same side together equal to two right angles.