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 18
... similar to the same thing , are similar to one another . TRUTH III . If equals be added to equals , the wholes are equal . TRUTH IV . If equals be taken from equals , the re- mainders are equal . TRUTH V. The whole is greater than any ...
... similar to the same thing , are similar to one another . TRUTH III . If equals be added to equals , the wholes are equal . TRUTH IV . If equals be taken from equals , the re- mainders are equal . TRUTH V. The whole is greater than any ...
Side 34
... similar manner by the parallel lines AB , CD therefore we have a side and the two adjacent angles in the triangle MPO , equal to a side and the two adjacent angles in the triangle MPI ; consequently these two triangles must be equal ...
... similar manner by the parallel lines AB , CD therefore we have a side and the two adjacent angles in the triangle MPO , equal to a side and the two adjacent angles in the triangle MPI ; consequently these two triangles must be equal ...
Side 58
... angles are formed in a similar man- ner , by the parallel lines AC , DB ( Query 11 , Sect . I. ) therefore , because the triangle ABC has a side CB , and the two adjacent angles , x and w , equal to the side CB , and the 58 GEOMETRY .
... angles are formed in a similar man- ner , by the parallel lines AC , DB ( Query 11 , Sect . I. ) therefore , because the triangle ABC has a side CB , and the two adjacent angles , x and w , equal to the side CB , and the 58 GEOMETRY .
Side 65
... similar to each other , it is necessary that they should be constructed after the same manner , and that the side AC should be exactly as many times greater than the side a c , as the side BC greater than b c , and the side AB , than ...
... similar to each other , it is necessary that they should be constructed after the same manner , and that the side AC should be exactly as many times greater than the side a c , as the side BC greater than b c , and the side AB , than ...
Side 66
... similar to each other . The same holds true of all other geometrical figures , composed of any number of sides . If they are similar , their sides are proportional to each other . There are different ways of denoting a geo- metrical ...
... similar to each other . The same holds true of all other geometrical figures , composed of any number of sides . If they are similar , their sides are proportional to each other . There are different ways of denoting a geo- metrical ...
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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...