First lessons in Plane Geometry. Together with an application of them to the solution of problems, etcCarter and Hendee, 1830 - 12 sider |
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Side 21
... common ; that is , could not a part of the line ED bend over and touch the line AB in M ? A. No. Q. Why not ? A. Because there would be two straight lines , drawn between the same points E and M , which is impossible . ( Truth 8 ...
... common ; that is , could not a part of the line ED bend over and touch the line AB in M ? A. No. Q. Why not ? A. Because there would be two straight lines , drawn between the same points E and M , which is impossible . ( Truth 8 ...
Side 22
... common ? A. Because , between the two points A and M they cannot vary ; otherwise there would be more than one straight line drawn between the two points M and A. Q. But is it not possible for either of the parts MC or AB to vary from ...
... common ? A. Because , between the two points A and M they cannot vary ; otherwise there would be more than one straight line drawn between the two points M and A. Q. But is it not possible for either of the parts MC or AB to vary from ...
Side 31
... common angle EFC , the two remain- ing angles AEF and CFN must be equal ( truth 7 ) ; and you have again the first case , viz : two straight lines cut by a third line at equal angles . Q. Will you now state the different cases in which ...
... common angle EFC , the two remain- ing angles AEF and CFN must be equal ( truth 7 ) ; and you have again the first case , viz : two straight lines cut by a third line at equal angles . Q. Will you now state the different cases in which ...
Side 34
... common ; and the angle a is equal to the angle b ; because a and b are alternate angles , formed by the two paral- lel lines MI , OP ( query 11 ) ; and the angle c is equal to the angle d ; because these angles are formed in a similar ...
... common ; and the angle a is equal to the angle b ; because a and b are alternate angles , formed by the two paral- lel lines MI , OP ( query 11 ) ; and the angle c is equal to the angle d ; because these angles are formed in a similar ...
Side 38
... common , must coincide with each other through- out . 3. The sum of the two adjacent angles , which one straight line makes with another , is equal to two right angles . 4. The sum of all the angles , made by any number of straight ...
... common , must coincide with each other through- out . 3. The sum of the two adjacent angles , which one straight line makes with another , is equal to two right angles . 4. The sum of all the angles , made by any number of straight ...
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First lessons in Plane Geometry. Together with an application of them to the ... Francis Joseph Grund Uten tilgangsbegrensning - 1830 |
First Lessons in Plane Geometry: Together with an Application of Them to the ... Francis Joseph Grund Ingen forhåndsvisning tilgjengelig - 2009 |
First Lessons in Plane Geometry: Together with an Application of Them to the ... Francis Joseph Grund Ingen forhåndsvisning tilgjengelig - 2009 |
Vanlige uttrykk og setninger
adjacent angles angle ABC angle ACB angle opposite angle x basis and height bisected called centre chord circum circumference circumscribed circle consequently construct the triangle DEMON diagonal diameter draw the lines equal angles exterior angle figure ABCDEF found by multiplying fourth term geometrical figures geometrical proportion given angle given circle given straight line given triangle hypothenuse isosceles triangle line AB line AC line CD line MN LUDOLPH VAN CEULEN mean proportional number of sides parallel lines parallelogram perpendicular points of division PROBLEM prove quadrilateral Query 11 radii radius ratio rectilinear figure regular polygon ABCDEF remaining sides Remark right angles right-angular triangle Sect semicircle side AB side AC similar triangles smaller SOLUTION square feet square inches square seconds tangent third line three angles three sides trapezoid trian triangle ABC triangle are equal vertex zoid
Populære avsnitt
Side 195 - Upon a given straight line to describe a segment of a circle, which shall contain an angle equal to a given rectilineal angle.
Side 94 - If two triangles have two sides of the one equal to two sides of the other, each to each, but the...
Side 211 - HDG, the corresponding sides are proportional (page 70, 4thly) ; therefore we have the proportion ED : DG =AD : HD (II.) This last proportion has the first ratio common with the first proportion ; consequently the two remaining ratios are in a geometrical proportion (Theory of Prop., Prin. 3d) ; that is, we have AD : HD = DG: BD; and as, in...
Side 173 - 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 176 - 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 175 - The side of a regular hexagon inscribed in a circle is equal to the radius of the circle.
Side 129 - Now, since the areas of similar polygons are to each other as the squares of their homologous sides...