Elements of Plane Geometry: For the Use of SchoolsLewis & Sampson, 1844 - 96 sider |
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Resultat 1-5 av 14
Side 9
... equivalent , when they enclose equal portions of space , and at the same time are incapa- ble of such coincidence . Definition of Terms employed . An ariom is a self - evident proposition . A theorem is a proposition which requires ...
... equivalent , when they enclose equal portions of space , and at the same time are incapa- ble of such coincidence . Definition of Terms employed . An ariom is a self - evident proposition . A theorem is a proposition which requires ...
Side 57
... equivalent . 12. The square of a line , as AB , is expressed thus , AB2 , read , " AB square . " 13. The rectangle of two lines , as AB , CD , is writ- ten AB.CD , read , " AB multiplied into CD , " or , short- ly , " AB into CD ...
... equivalent . 12. The square of a line , as AB , is expressed thus , AB2 , read , " AB square . " 13. The rectangle of two lines , as AB , CD , is writ- ten AB.CD , read , " AB multiplied into CD , " or , short- ly , " AB into CD ...
Side 59
... equivalent ( B. I. Ax . 4 ) . Cor . 1. Every parallelogram is equivalent to a rec- tangle which has an equal base and equal altitude . Cor . 2. Hence the area of a parallelogram is equal to the product of its base by its altitude ( Prop ...
... equivalent ( B. I. Ax . 4 ) . Cor . 1. Every parallelogram is equivalent to a rec- tangle which has an equal base and equal altitude . Cor . 2. Hence the area of a parallelogram is equal to the product of its base by its altitude ( Prop ...
Side 60
... equivalent to the parallelogram ABCD ( Prop . 2 ) . But the triangle ABE is one half of the parallelogram ABFE ( B. I. Prop . 24 , Cor . ) ; hence it is half of the equal parallelogram ABCD . A B Cor . 1. All triangles having equal ...
... equivalent to the parallelogram ABCD ( Prop . 2 ) . But the triangle ABE is one half of the parallelogram ABFE ( B. I. Prop . 24 , Cor . ) ; hence it is half of the equal parallelogram ABCD . A B Cor . 1. All triangles having equal ...
Side 61
... equivalent to the two small squares together with the two rectangles . Cor . If the line AB were divided into equal parts , the rectangles would become squares , and the square on the whole line would be equivalent to four times the ...
... equivalent to the two small squares together with the two rectangles . Cor . If the line AB were divided into equal parts , the rectangles would become squares , and the square on the whole line would be equivalent to four times the ...
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Elements of Plane Geometry: For the Use of Schools Nicholas Tillinghast Uten tilgangsbegrensning - 1844 |
Elements of Plane Geometry: For the Use of Schools Nicholas Tillinghast Uten tilgangsbegrensning - 1844 |
Elements of Plane Geometry: For the Use of Schools - Primary Source Edition Nicholas Tillinghast Ingen forhåndsvisning tilgjengelig - 2013 |
Vanlige uttrykk og setninger
ABCD adjacent angles allel alternate angles altitude angle ABC angles ABD angles is equal antecedent and consequent B. I. Ax base centre circle whose radius circumference circumscribed circumscribed circle Converse of Prop describe an arc diagonal diameter divide draw the line equal angles equal B. I. Prop equal chords equal Prop equal respectively equiangular equivalent feet given angle given line given point given side half hence the triangles hypotenuse included angle inscribed angle Let the triangles line drawn linear units longer than AC multiplied number of sides oblique lines parallel to CD parallelogram perimeter perpendicular PROBLEM prove radii rectangle regular polygons respectively equal right angles Prop right-angled triangle Scholium sides AC similar subtended tangent THEOREM three sides triangles ABC triangles are equal vertex
Populære avsnitt
Side 31 - A circle is a plane figure bounded by a curved line, every point of which is equally distant from a point within called the center.
Side 63 - The square described on the hypothenuse of a right-angled triangle is equivalent to the sum of the squares described on the other two sides.
Side 70 - The areas of two triangles which have an angle of the one equal to an angle of the other are to each other as the products of the sides including the equal angles. A D A' Hyp. In triangles ABC and A'B'C', To prove AABC A A'B'C' A'B' x A'C ' Proof. Draw the altitudes BD and B'D'.
Side 53 - In any proportion, the product of the means is equal to the product of the extremes.
Side 87 - The perimeters of two regular polygons of the same number of sides, are to each other as their homologous sides, and their areas are to each other as the squares of those sides (Prop.
Side 54 - In a series of equal ratios, any antecedent is to its consequent, as the sum of all the antecedents is to the sum of all the consequents. Let a: 6 = c: d = e :/. Then, by Art.
Side 81 - 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.
Side 59 - The area of a parallelogram is equal to the product of its base and its height: A = bx h.
Side 61 - From this proposition it is evident, that the square described on the difference of two lines is equivalent to the sum of the squares described on the lines respectively, minus twice the rectangle contained by the lines.
Side 82 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.