Elements of Plane Geometry: For the Use of SchoolsLewis & Sampson, 1844 - 96 sider |
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Resultat 1-5 av 19
Side 7
... polygon ; and the lines themselves , taken together , form the contour , or perime- ter of the figure . 12. Among polygons , are more particularly distinguish- ed the figure of three sides , called a triangle , and that of four sides ...
... polygon ; and the lines themselves , taken together , form the contour , or perime- ter of the figure . 12. Among polygons , are more particularly distinguish- ed the figure of three sides , called a triangle , and that of four sides ...
Side 20
... polygon , the sum of all the angles is equal to as many times two right angles as the figure has sides , less four right angles . Fig . 15 . From any point O within the polygon , draw lines to the vertices of all the angles . There will ...
... polygon , the sum of all the angles is equal to as many times two right angles as the figure has sides , less four right angles . Fig . 15 . From any point O within the polygon , draw lines to the vertices of all the angles . There will ...
Side 21
... polygon is equal to as many times two right angles as the figure has sides , less four right angles . Cor . For example , the sum of all the angles of a six- sided figure is eight right angles ; since it is equal to as many times two ...
... polygon is equal to as many times two right angles as the figure has sides , less four right angles . Cor . For example , the sum of all the angles of a six- sided figure is eight right angles ; since it is equal to as many times two ...
Side 32
... polygon is inscribed , when the vertices of all its angles are in the circumference ; the circle is then said to circumscribe the polygon . 17. A circle is inscribed in a polygon , when 32 [ BOOK II . DEFINITIONS .
... polygon is inscribed , when the vertices of all its angles are in the circumference ; the circle is then said to circumscribe the polygon . 17. A circle is inscribed in a polygon , when 32 [ BOOK II . DEFINITIONS .
Side 33
... polygon , when its cir- cumference touches each side of the polygon ; and the polygon is then said to circumscribe the circle . 18. Equal circles are those which are described with equal radii . PROP . I. THEOREM . Every diameter ...
... polygon , when its cir- cumference touches each side of the polygon ; and the polygon is then said to circumscribe the circle . 18. Equal circles are those which are described with equal radii . PROP . I. THEOREM . Every diameter ...
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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.