Elements of GeometryHilliard and Metcalf, at the University Press, 1819 - 208 sider |
Inni boken
Resultat 1-5 av 78
Side vi
... parallel lines , & c . The second section , entitled the circle , treats of the most sim- ple properties of the circle , and those of chords , of tangents and of the measure of angles , by the arcs of a circle . These two sections are ...
... parallel lines , & c . The second section , entitled the circle , treats of the most sim- ple properties of the circle , and those of chords , of tangents and of the measure of angles , by the arcs of a circle . These two sections are ...
Side 2
... parallel ( fig . 5 ) , when , being situ- ated in the same plane and produced ever so far both ways , they do not meet . 13. A plane figure is a plane terminated on all sides by lines . If the lines are straight , the space which they ...
... parallel ( fig . 5 ) , when , being situ- ated in the same plane and produced ever so far both ways , they do not meet . 13. A plane figure is a plane terminated on all sides by lines . If the lines are straight , the space which they ...
Side 2
... parallel ( fig . 5 ) , when , being situ- ated in the same plane and produced ever so far both ways , they do not meet . 13. A plane figure is a plane terminated on all sides by lines . If the lines are straight , the space which they ...
... parallel ( fig . 5 ) , when , being situ- ated in the same plane and produced ever so far both ways , they do not meet . 13. A plane figure is a plane terminated on all sides by lines . If the lines are straight , the space which they ...
Side 4
... parallel lines . THEOREM . 27. ALL right angles are equal . Demonstration . Let the straight line CD be perpendicular to Fig . 16. AB ( fig . 16 ) , and GH to EF , the angles ACD , EGH , will be equal . Take the four distances CA , CB ...
... parallel lines . THEOREM . 27. ALL right angles are equal . Demonstration . Let the straight line CD be perpendicular to Fig . 16. AB ( fig . 16 ) , and GH to EF , the angles ACD , EGH , will be equal . Take the four distances CA , CB ...
Side 13
... parallel , that is , they will not meet , however far they are produced ( 12 ) . Demonstration . If they could meet in a point 0 on one side or the other of the line AB , there would be two perpendicu- lars drawn from the same point 0 ...
... parallel , that is , they will not meet , however far they are produced ( 12 ) . Demonstration . If they could meet in a point 0 on one side or the other of the line AB , there would be two perpendicu- lars drawn from the same point 0 ...
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Vanlige uttrykk og setninger
ABCD adjacent angles algebraic algebraic quantities altitude angle ACB base centre chord circ circle circular sector circumference coefficient common divisor cone consequently contains Corollary cube cylinder Demonstration denominator denoted diameter divided dividend division equal equivalent evident example exponent expression factors figure fraction frustum given gives greater greatest common divisor homologous sides inscribed less letters logarithm manner measure multiplied obtain parallel parallelogram parallelopiped perpendicular plane MN polyedron preceding prism proportion proposed equation proposition quotient radical sign radii radius ratio rectangle reduced regular polygon remainder result right angles Scholium side BC similar solid angle sphere spherical square root straight line substitute subtract suppose term THEOREM third tion triangle ABC triangular pyramids unity unknown quantity vertex whence
Populære avsnitt
Side 63 - The square of the hypothenuse is equal to the sum of the squares of the other two sides ; as, 5033 402+302.
Side 7 - If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles are congruent.
Side 151 - THE sphere is a solid terminated by a curve surface, all the points of which are equally distant from a point within, called the centre.
Side 76 - 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 25 - Two equal chords are equally distant from the centre ; and of two unequal chords, the less is at the greater distance from the centre.
Side 52 - The sum of the squares on the sides of a parallelogram is equal to the sum of the squares on the diagonals.
Side 160 - If two triangles have two sides and the inchtded angle of the one respectively equal to two sides and the included angle of the other, the two triangles are equal in all respects.
Side 203 - In every triangle the sum of the three angles is equal to two right angles.
Side 162 - In any spherical triangle, the greater side is opposite the greater angle ; and conversely, the greater angle is opposite the greater side.
Side 141 - If a pyramid is cut by a plane parallel to its base, the...