Elements of Plane Geometry: For the Use of SchoolsLewis & Sampson, 1844 - 96 sider |
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Side 7
... three sides , called a triangle , and that of four sides , called a quadrilateral . 13. An equilateral trian- gle is one which has all its sides equal . 14. An isosceles triangle is one which has two equal BOOK I. ] DEFINITIONS .
... three sides , called a triangle , and that of four sides , called a quadrilateral . 13. An equilateral trian- gle is one which has all its sides equal . 14. An isosceles triangle is one which has two equal BOOK I. ] DEFINITIONS .
Side 8
... quadrilateral whose oppo- site sides are parallel . 18. The trapezoid has only two of its opposite sides parallel . 19. The rhombus is a parallelogram whose sides are all equal . 20. A rectangle is a par- allelogram having all its an ...
... quadrilateral whose oppo- site sides are parallel . 18. The trapezoid has only two of its opposite sides parallel . 19. The rhombus is a parallelogram whose sides are all equal . 20. A rectangle is a par- allelogram having all its an ...
Side 28
... quadrilateral be equal , they are also parallel , and the figure is a parallelogram . Let AB = DC , AD = BC ; then we have to prove that AB is parallel to DC , and AD is parallel to BC . Draw the diagonal DB ; then in the triangles ABD ...
... quadrilateral be equal , they are also parallel , and the figure is a parallelogram . Let AB = DC , AD = BC ; then we have to prove that AB is parallel to DC , and AD is parallel to BC . Draw the diagonal DB ; then in the triangles ABD ...
Side 29
... quadrilateral are equal and parallel , the other two sides will be equal and pår- allel , and the figure will be a parallelogram . In the quadrilateral ABCD ( preceding diagram ) , let AB be equal and parallel to DC ; then we have to ...
... quadrilateral are equal and parallel , the other two sides will be equal and pår- allel , and the figure will be a parallelogram . In the quadrilateral ABCD ( preceding diagram ) , let AB be equal and parallel to DC ; then we have to ...
Side 87
... quadrilateral OFGH , so that OF shall remain as it is : since the angles DOF , FOH , are equal , ( each being meas ... quadrilaterals will exactly coincide ; hence DE = HG , FE = FG , and the angle DEF = FGH . By applying in a similar ...
... quadrilateral OFGH , so that OF shall remain as it is : since the angles DOF , FOH , are equal , ( each being meas ... quadrilaterals will exactly coincide ; hence DE = HG , FE = FG , and the angle DEF = FGH . By applying in a similar ...
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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 angles ABD angles is equal antecedent and consequent B. I. Ax centre circle whose radius circumference circumscribed circumscribed circle common measure Converse of Prop describe an arc diameter divided draw the line equal angles equal B. I. Prop equal chords equal Prop equal respectively equally distant equiangular equivalent feet four numbers given angle given line given point given side half hence the triangles hypotenuse included angle inscribed angle Let ABC linear units longer than AC multiplied number of sides number of square oblique lines opposite parallel parallelogram perimeter perpendicular PROBLEM prove quadrilateral radii rectangle regular polygons respectively equal right angles Prop right-angled triangle Scholium sides AC similar subtended tangent THEOREM three sides triangle 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 71 - 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 89 - 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 83 - 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 16 - Conversely, if two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is isosceles.
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.