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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Resultat 1-5 av 28
Side 226
... cosine , cotan- gent and cosecant . A farther contraction is frequently made in noting the radius and other lines connected with the circle , by retaining only the first syllable of the word , or even the mere initial letter . Let ACFE ...
... cosine , cotan- gent and cosecant . A farther contraction is frequently made in noting the radius and other lines connected with the circle , by retaining only the first syllable of the word , or even the mere initial letter . Let ACFE ...
Side 227
... cosine of an arc are together equal to the square of the radius . 3. The triangle ODB being evidently similar to OAH , OD : DB :: OA : AH ; that is , the cosine of an arc is to the sine , as the radius to the tangent . 4. From the ...
... cosine of an arc are together equal to the square of the radius . 3. The triangle ODB being evidently similar to OAH , OD : DB :: OA : AH ; that is , the cosine of an arc is to the sine , as the radius to the tangent . 4. From the ...
Side 228
... cosine . 6. Hence also the chord of an arc is a mean proportional between the versed sine and the diameter ; for AB ' = AD.AF. 7. The triangles OAH and ICO being similar , AH : ÖA :: OC : CI ; and hence the radius is a mean proportional ...
... cosine . 6. Hence also the chord of an arc is a mean proportional between the versed sine and the diameter ; for AB ' = AD.AF. 7. The triangles OAH and ICO being similar , AH : ÖA :: OC : CI ; and hence the radius is a mean proportional ...
Side 229
... cosine OE ; and the supplemental arc ABỏ , and its defect from a whole circum → F B E ference , have likewise the same cosine , although with an inverted position . AH and OH are respectively the tan- gent and secant not only of AB ...
... cosine OE ; and the supplemental arc ABỏ , and its defect from a whole circum → F B E ference , have likewise the same cosine , although with an inverted position . AH and OH are respectively the tan- gent and secant not only of AB ...
Side 230
... cosine Oe shifts to the other side , and the secant shoots from the centre in a direction opposite to the ... cosine and secant of an arc a are equal to the cosine and secant of 2m.180 ° -a , and to the opposite cosines and secants of ...
... cosine Oe shifts to the other side , and the secant shoots from the centre in a direction opposite to the ... cosine and secant of an arc a are equal to the cosine and secant of 2m.180 ° -a , and to the opposite cosines and secants of ...
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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.