Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 26.
Σελίδα 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 ...
Σελίδα 227
... cosine C I BG or OD , the versed sine AD , G B the coversed sine CG , and the sup- plementary versed sine FD ; the ... cosine of an arc are together equal to the square of the radius . 3. The triangle ODB being evidently similar to ...
... cosine C I BG or OD , the versed sine AD , G B the coversed sine CG , and the sup- plementary versed sine FD ; the ... cosine of an arc are together equal to the square of the radius . 3. The triangle ODB being evidently similar to ...
Σελίδα 228
... cosine . 6. Hence also the chord of an arc is a mean proportional between the versed sine and the diameter ; for AB2 = AD.AF. 7. The triangles OAH and ICO being similar , AH : OA :: 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 AB2 = AD.AF. 7. The triangles OAH and ICO being similar , AH : OA :: OC : CI ; and hence the radius is a mean proportional ...
Σελίδα 229
... cosine OE ; and the sup- plemental arc ABb , and its de- B 6 F A e E b B fect from a whole circumference , have likewise the same cosine , although with an inverted position . AH and OH are respectively the tangent and secant not only ...
... cosine OE ; and the sup- plemental arc ABb , and its de- B 6 F A e E b B fect from a whole circumference , have likewise the same cosine , although with an inverted position . AH and OH are respectively the tangent and secant not only ...
Σελίδα 230
... cosine shifts to the opposite 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 ...
... cosine shifts to the opposite 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 ...
Περιεχόμενα
| 221 | |
| 225 | |
| 226 | |
| 243 | |
| 244 | |
| 256 | |
| 260 | |
| 262 | |
| 101 | |
| 125 | |
| 128 | |
| 155 | |
| 181 | |
| 183 | |
| 199 | |
| 200 | |
| 204 | |
| 268 | |
| 283 | |
| 311 | |
| 318 | |
| 338 | |
| 365 | |
| 371 | |
| 392 | |
Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD adjacent angle altitude angle ABC angle ADB angle BAC angle BCD 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 Geometry greater half Hence hypotenuse inscribed intercepted 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 sinAC sinB sine square of AB square of AC tangent THEOR tion triangle ABC twice the rectangle twice the square vertex vertical angle whence Wherefore
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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...
Σελίδα 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...
Σελίδα 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 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.
Σελίδα 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.
Σελίδα 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Σελίδα 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Σελίδα 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.
Σελίδα 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.