Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 sider |
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Side 12
... equal , AC is equal to G ; and , for the same reason , BC is equal to H. Consequently the triangle ACB answers the conditions of the problem . The limiting circles , after mutually intersect- ing , must obviously diverge from each other ...
... equal , AC is equal to G ; and , for the same reason , BC is equal to H. Consequently the triangle ACB answers the conditions of the problem . The limiting circles , after mutually intersect- ing , must obviously diverge from each other ...
Side 13
... equal , which have all the sides of the one equal to those of the other . Let the two triangles ABC and DFE have the side AB equal to DF , AC to DE , and BC to FE : These triangles are equal . For conceive the triangle ACB to be applied ...
... equal , which have all the sides of the one equal to those of the other . Let the two triangles ABC and DFE have the side AB equal to DF , AC to DE , and BC to FE : These triangles are equal . For conceive the triangle ACB to be applied ...
Side 14
... equal , if two sides and the angle contained by these in the one be respective- ly equal to two sides and the contained angle in the other . Let ABC and DEF be two triangles , of which the side AB is equal to DE , the side BC to EF ...
... equal , if two sides and the angle contained by these in the one be respective- ly equal to two sides and the contained angle in the other . Let ABC and DEF be two triangles , of which the side AB is equal to DE , the side BC to EF ...
Side 15
... equal to a given angle . At the point D in the given straight line DE , to form an angle equal to the given angle BAC . In the sides AB and AC of the given angle , assume the points G and H , join GH , from DE cut off DI equal to AG ...
... equal to a given angle . At the point D in the given straight line DE , to form an angle equal to the given angle BAC . In the sides AB and AC of the given angle , assume the points G and H , join GH , from DE cut off DI equal to AG ...
Side 16
... equal , only one circle would be required , a series of equal isosceles triangles being constituted about its centre . It is evi- dent that this addition is without limit , and that the angle so produced may con- tinue to spread out ...
... equal , only one circle would be required , a series of equal isosceles triangles being constituted about its centre . It is evi- dent that this addition is without limit , and that the angle so produced may con- tinue to spread out ...
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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.