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 132
... centres , O and P , is less than the sum of their radii OM , PM . QUERY III . When do two circles touch each other inte- riorly ? A. When the dis- tance OP , between their centres , O and P , 0 M is equal to the sum of their radii OM ...
... centres , O and P , is less than the sum of their radii OM , PM . QUERY III . When do two circles touch each other inte- riorly ? A. When the dis- tance OP , between their centres , O and P , 0 M is equal to the sum of their radii OM ...
Side 133
... centre ; that is , when they are concentric . QUERY VI . C If from the centre C of a circle , a perpendicular CD is dropped upon a chord , AB , in that circle , what relation do the two parts AD , BD , A into which the chord AB is ...
... centre ; that is , when they are concentric . QUERY VI . C If from the centre C of a circle , a perpendicular CD is dropped upon a chord , AB , in that circle , what relation do the two parts AD , BD , A into which the chord AB is ...
Side 134
... centre of the circle . 3. Two perpendiculars , each drawn through the middle of a chord in the same circle , intersect each other at the centre ; for each of them must go through the centre . 4. The two angles , x and y , which the ...
... centre of the circle . 3. Two perpendiculars , each drawn through the middle of a chord in the same circle , intersect each other at the centre ; for each of them must go through the centre . 4. The two angles , x and y , which the ...
Side 135
... centre C , of the circle . Remark . It is to be observed that each chord subtends two arcs , one of which is smaller and the other greater than the semi - circumference , both together completing the whole circum- ference . In speaking ...
... centre C , of the circle . Remark . It is to be observed that each chord subtends two arcs , one of which is smaller and the other greater than the semi - circumference , both together completing the whole circum- ference . In speaking ...
Side 136
... centre C of a circle , and the arcs AB , BD ? Ans . The angles ACB , BCD , at the centre of the cir- A m m Q B cle , are to each other in the same ratio as the arcs AB , BD , intercepted by their legs . Q. How can you show this ? A. I ...
... centre C of a circle , and the arcs AB , BD ? Ans . The angles ACB , BCD , at the centre of the cir- A m m Q B cle , are to each other in the same ratio as the arcs AB , BD , intercepted by their legs . Q. How can you show this ? A. I ...
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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...
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