Elements of Plane Geometry: For the Use of SchoolsLewis & Sampson, 1844 - 96 sider |
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Resultat 1-5 av 13
Side 11
... angles , hence ACD + DCB must be equal to two right angles . Fig . 2 . Corollary 1 . The sum of all the angles , H formed by any number of straight lines , drawn on the same side of another straight line , from any point in it , is A ...
... angles , hence ACD + DCB must be equal to two right angles . Fig . 2 . Corollary 1 . The sum of all the angles , H formed by any number of straight lines , drawn on the same side of another straight line , from any point in it , is A ...
Side 57
... sides . 7. A rectangle is said to be contained by its adjacent sides . Thus the rectangle ABCD is contained by the ... number of linear units in the base , by the number of the same linear units in the altitude . Fig . 58 . D Ι L H A K ...
... sides . 7. A rectangle is said to be contained by its adjacent sides . Thus the rectangle ABCD is contained by the ... number of linear units in the base , by the number of the same linear units in the altitude . Fig . 58 . D Ι L H A K ...
Side 58
... number of linear units in the base , by the number of the same units in the altitude . In the case before us , the area contains thirty- two times the superficial unit , which is a square whose side is the assumed linear unit . Scholium ...
... number of linear units in the base , by the number of the same units in the altitude . In the case before us , the area contains thirty- two times the superficial unit , which is a square whose side is the assumed linear unit . Scholium ...
Side 83
... number of sides , are similar . Let the figures in the margin be two regular polygons , having the same number of sides . The sum of all the angles in each figure is equal Fig . 88 . to twice as many right an- B b gles as the figure has ...
... number of sides , are similar . Let the figures in the margin be two regular polygons , having the same number of sides . The sum of all the angles in each figure is equal Fig . 88 . to twice as many right an- B b gles as the figure has ...
Side 85
... sided figure , one of twenty - four sides will be formed , which will ap- proach still nearer to the circle than the last ; therefore we may conclude generally , that the greater number of sides , which a regular inscribed figure has ...
... sided figure , one of twenty - four sides will be formed , which will ap- proach still nearer to the circle than the last ; therefore we may conclude generally , that the greater number of sides , which a regular inscribed figure has ...
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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.