An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in Algebra. Part I, Containing Plane Geometry, with Its Application to the Solution of Problems, Del 1Carter, Hendee, 1834 - 190 sider |
Inni boken
Resultat 1-5 av 27
Side 24
... lines , for in- C- a b B db D e a A M P stance the perpendicular MN , to the line OP , all the angles , a , b , c , d , e , f , taken together , occupy the same space , which is occupied by the four right angles 24 GEOMETRY .
... lines , for in- C- a b B db D e a A M P stance the perpendicular MN , to the line OP , all the angles , a , b , c , d , e , f , taken together , occupy the same space , which is occupied by the four right angles 24 GEOMETRY .
Side 25
... MN , OP . QUERY VI . If a triangle has one side , and the two adjacent angles , equal to one side and the two ... lines are both perpendicular GEOMETRY . 25.
... MN , OP . QUERY VI . If a triangle has one side , and the two adjacent angles , equal to one side and the two ... lines are both perpendicular GEOMETRY . 25.
Side 27
... line must be parallel to each other ; and two lines , parallel to each other , cannot be drawn from one and the same point . QUERY VIII . If a straight line , MN , cuts two other straight lines at equal angles ; that is , so as to make ...
... line must be parallel to each other ; and two lines , parallel to each other , cannot be drawn from one and the same point . QUERY VIII . If a straight line , MN , cuts two other straight lines at equal angles ; that is , so as to make ...
Side 28
... lines AB , CD , are both perpendicular to the same straight line PR , and therefore parallel to each other . ( Last query . ) Q. Supposing , now , two straight lines , AB , CD , to be cut by a third line , MN , so E as to make the ...
... lines AB , CD , are both perpendicular to the same straight line PR , and therefore parallel to each other . ( Last query . ) Q. Supposing , now , two straight lines , AB , CD , to be cut by a third line , MN , so E as to make the ...
Side 29
... lines cut by a third line at equal angles ; consequently they are parallel to each other . Q. There is one more case , and that is : If the two straight lines AB , CD ( in our last figure ) , are cut by a third line MN , so as to make ...
... lines cut by a third line at equal angles ; consequently they are parallel to each other . Q. There is one more case , and that is : If the two straight lines AB , CD ( in our last figure ) , are cut by a third line MN , so as to make ...
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An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Del 1 Francis Joseph Grund Uten tilgangsbegrensning - 1834 |
An Elementary Treatise on Geometry: Simplified for Beginners Not ..., Del 1 Francis Joseph Grund Uten tilgangsbegrensning - 1832 |
An Elementary Treatise on Geometry: Simplified for Beginners Not Versed in ... Francis Joseph Grund Uten tilgangsbegrensning - 1831 |
Vanlige uttrykk og setninger
adjacent angles angle ABC angle ACB angle x basis bisected called centre chord circle whose radius circum circumference circumscribed circles consequently degrees DEMON diagonal diameter dividing the product draw the lines equal angles equal sides equal triangles exterior angle feet figure ABCDEF found by multiplying fourth term geometrical proportion given angle given circle given straight line given triangle gles height hypothenuse inches isosceles triangle length let fall line AB line AC line CD line MN mean proportional measures half number of sides parallel lines parallelogram ABCD perpendicular points of division PROBLEM prove quadrilateral radii radius rectangle rectilinear figure regular polygon ABCDEF Remark rhombus right angles right-angled triangle second term Sect semicircle side AB side AC similar triangles smaller SOLUTION subtended tangent third line third term three angles three sides trapezoid triangle ABC triangles are equal Truth vertex
Populære avsnitt
Side 78 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
Side 2 - District Clerk's Office. BE IT REMEMBERED, That on the seventh day of May, AD 1828, in the fifty-second year of the Independence of the UNITED STATES OF AMERICA, SG Goodrich, of the said District, has deposited in this office the...
Side 136 - The circumference of every circle is supposed to be divided into 360 equal parts, called degrees ; each degree into 60 equal parts, called minutes ; and each minute into 60 equal parts, called seconds.
Side 154 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Side 138 - 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 116 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
Side 101 - Now, since the areas of similar polygons are to each other as the squares of their homologous sides...
Side 127 - The areas of two regular polygons of the same number of sides are to each other as the squares of their radii, or as the squares of their apothems.
Side 154 - A, with a radius equal to the sum of the radii of the given circles, describe a circle.
Side 137 - P is at the center of the circle. II. 18. The sum of the arcs subtending the vertical angles made by any two chords that intersect, is the same, as long as the angle of intersection is the same. 19. From a point without a circle two straight lines are drawn cutting the convex and concave circumferences, and also respectively parallel to two radii of the circle. Prove that the difference of the concave and convex arcs intercepted by the cutting lines, is equal to twice the arc intercepted by the radii.