Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 sider |
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Side 3
... join two points ; and if a straight line be conceived to turn as an axis about both extremities , none of its ... joins two of the points , may be made to re- volve , till it meets the third point . The separation or opening of two ...
... join two points ; and if a straight line be conceived to turn as an axis about both extremities , none of its ... joins two of the points , may be made to re- volve , till it meets the third point . The separation or opening of two ...
Side 15
... join GH , from DE cut off DI equal to AG , and on DI consti- tute ( I. 1. ) a triangle DKI , having the sides DK and IK equal to AH and GH : A A EDK or EDF is the angle required . For all the sides of the triangles GAH and IDK being ...
... join GH , from DE cut off DI equal to AG , and on DI consti- tute ( I. 1. ) a triangle DKI , having the sides DK and IK equal to AH and GH : A A EDK or EDF is the angle required . For all the sides of the triangles GAH and IDK being ...
Side 16
... join DE , on which construct ( I. 1. ) the isosceles triangle DFE , and draw the straight line BF : The angle ABC is bisected by BF . For the two triangles DBF and EBF , having the side DB equal to EB , the side DF to EF , and BF common ...
... join DE , on which construct ( I. 1. ) the isosceles triangle DFE , and draw the straight line BF : The angle ABC is bisected by BF . For the two triangles DBF and EBF , having the side DB equal to EB , the side DF to EF , and BF common ...
Side 17
... joins the vertex of the triangle , is perpendicular to AC . Schol . In the general construction , the isosceles ... join CF , crossing the gi- ven line in G : CG is perpendicular to AB . For the straight lines DC , DF and EC , EF ...
... joins the vertex of the triangle , is perpendicular to AC . Schol . In the general construction , the isosceles ... join CF , crossing the gi- ven line in G : CG is perpendicular to AB . For the straight lines DC , DF and EC , EF ...
Side 18
... join their vertices C and D by a straight line cutting AB in the point E : AB is bisected in E. E B For the sides AC and AD of the triangle CAD being respectively equal to BC and BD of the triangle CBD , and the side CD common to them ...
... join their vertices C and D by a straight line cutting AB in the point E : AB is bisected in E. E B For the sides AC and AD of the triangle CAD being respectively equal to BC and BD of the triangle CBD , and the side CD common to them ...
Andre utgaver - Vis alle
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... Sir John Leslie Uten tilgangsbegrensning - 1817 |
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... Sir John Leslie Uten tilgangsbegrensning - 1817 |
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
ABCD adjacent angle altitude angle ABC angle ADB angle BAC base AC bisect centre chord circle circumference consequently construction contained angle cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC equilateral triangle equivalent to twice evidently exterior angle given greater half Hence hypotenuse inscribed isosceles triangle join let fall likewise measure parallel perpendicular point G polygon PROB PROP Proposition quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter side AC sides AB sine square of AC squares of AB straight line tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore
Populære avsnitt
Side 30 - ... if a straight line, &c. QED PROPOSITION 29. — Theorem. If a straight line fall upon two parallel straight lines, it makes the alternate angles equal to one another ; and the exterior angle equal to the interior and opposite upon the same side ; and likewise the two interior angles upon the same side together equal to two right angles.
Side 333 - The first of four magnitudes is said to have the same ratio to the second which the third has to the fourth, when any...
Side 294 - If a straight line meets two straight lines, so as to " make the two interior angles on the same side of it taken " together less than two right angles...
Side 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 137 - Componendo, by composition ; when there are four proportionals, and it is inferred that the first together with the second, is to the second, as the third together with the fourth, is to the fourth.
Side 84 - The angle at the centre of a circle is double of the angle at the circumference upon the same base, that is, upon the same part of the circumference.
Side 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Side 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Side 38 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Side 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.