Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very Copious Notes and IllustrationsW. & C. Tait, and Longman, Hurst, Rees, Orme, & Brown, London, 1820 - 465 sider |
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Side vii
... Ratios , contains a copious selection of propositions , not only beautiful in themselves , but which pave the way to the higher branches of Geometry , or lead immediately to valuable practical results . The Appendix , without claiming ...
... Ratios , contains a copious selection of propositions , not only beautiful in themselves , but which pave the way to the higher branches of Geometry , or lead immediately to valuable practical results . The Appendix , without claiming ...
Side 128
... ratio . 8. When both terms of comparison are equal , it is call- ed a ratio of equality ; if the first of these be greater than the second , it is a ratio of majority ; 128 ELEMENTS OF GEOMETRY . DEFINITIONS. ...
... ratio . 8. When both terms of comparison are equal , it is call- ed a ratio of equality ; if the first of these be greater than the second , it is a ratio of majority ; 128 ELEMENTS OF GEOMETRY . DEFINITIONS. ...
Side 129
... ratio of majority ; and if the first be less than the second , it is a ratio of minority . 9. A proportion or analogy consists in the identity of ratios . 10. Four quantities are said to be proportional , when a submultiple of the first ...
... ratio of majority ; and if the first be less than the second , it is a ratio of minority . 9. A proportion or analogy consists in the identity of ratios . 10. Four quantities are said to be proportional , when a submultiple of the first ...
Side 130
... ratio which one quantity has to another may be considered as compounded of all the connecting ratios among any interposed quantities . Thus , the ratio of A to D is viewed as compounded of that of A to B , that of B to C , and that of C ...
... ratio which one quantity has to another may be considered as compounded of all the connecting ratios among any interposed quantities . Thus , the ratio of A to D is viewed as compounded of that of A to B , that of B to C , and that of C ...
Side 132
... Ratios and analogies are expressed , by inserting points in pairs between the terms . Thus A B denotes the ra- tio of A to B ; and the compound symbols A : B :: C : D , signify that the ratio of A to B is the same as that of C to D , or ...
... Ratios and analogies are expressed , by inserting points in pairs between the terms . Thus A B denotes the ra- tio of A to B ; and the compound symbols A : B :: C : D , signify that the ratio of A to B is the same as that of C to D , or ...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... Sir John Leslie Uten tilgangsbegrensning - 1820 |
Elements of Geometry and Plane Trigonometry. with an Appendix, and Copious ... University Professor Emeritus John Leslie, Sir Ingen forhåndsvisning tilgjengelig - 2016 |
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Copious ... John Leslie,University Professor Emeritus John Leslie, Sir Ingen forhåndsvisning tilgjengelig - 2017 |
Vanlige uttrykk og setninger
ABCD adjacent angle altitude angle ABC angle ACB angle BAC base AC bisect centre chord circle circumference consequently construction contained angle corresponding cosine decagon denote describe diameter difference distance diverging lines divided draw equal to BC evidently expressed exterior angle Geometry given greater half Hence hypotenuse inscribed isosceles triangle join let fall likewise mean proportional measure multiple parallel perpendicular point G polygon PROB PROP proposition quadrant quadrilateral figure quantities radius ratio rectangle rectangle contained rectilineal figure rhomboid right angles right-angled triangle Scholium segments semicircle semiperimeter sexagesimal side AC sine square of AB square of AC straight line tangent THEOR tion toises triangle ABC Trigonometry twice the rectangle twice the square vertex vertical angle whence Wherefore
Populære avsnitt
Side 110 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Side 30 - 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 334 - 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 293 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Side 88 - ... a circle. The angle in a semicircle is a right angle; the angle in a segment greater than a semicircle is less than a right angle; and the angle in a segment less than a semicircle is greater than a right angle. The opposite angles of any quadrilateral inscribed in a circle are supplementary; and the converse.
Side 295 - 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 129 - The first and last terms of a proportion are called the extremes, and the two middle terms are called the means.
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.