Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 σελίδες |
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Αποτελέσματα 1 - 5 από τα 56.
Σελίδα 71
... chord . 2. The space included between an arc and its chord , is named a segment . 3. A sector is the portion of a circle con- tained by two radii and the arc lying be- tween them . 4. The tangent to a circle is a straight line which ...
... chord . 2. The space included between an arc and its chord , is named a segment . 3. A sector is the portion of a circle con- tained by two radii and the arc lying be- tween them . 4. The tangent to a circle is a straight line which ...
Σελίδα 74
... chord of an arc lies wholly within the cir- cle . The straight line AB which joins two points A , B in t ... chord , likewise bisects it ; and , conversely , the straight line which joins the centre with the middle of a chord , is ...
... chord of an arc lies wholly within the cir- cle . The straight line AB which joins two points A , B in t ... chord , likewise bisects it ; and , conversely , the straight line which joins the centre with the middle of a chord , is ...
Σελίδα 75
... chord AB , cuts it into two equal parts AD , DB . For join CA , CB : And , in the triangles ACD , BCD , the side AC ... chord at right angles , passes through the centre of the circle . If the perpendicular FE bisect a chord AB ...
... chord AB , cuts it into two equal parts AD , DB . For join CA , CB : And , in the triangles ACD , BCD , the side AC ... chord at right angles , passes through the centre of the circle . If the perpendicular FE bisect a chord AB ...
Σελίδα 76
... chord AB by the diameter EF ( I. 7. ) , and bi- secting this again in G. PROP . VI . THEOR . The diameter is the greatest line that can be inflected within a circle . The diameter AB is greater than any chord DE . For join CD and CE ...
... chord AB by the diameter EF ( I. 7. ) , and bi- secting this again in G. PROP . VI . THEOR . The diameter is the greatest line that can be inflected within a circle . The diameter AB is greater than any chord DE . For join CD and CE ...
Σελίδα 80
... chords are equidistant from the centre of a circle ; and chords which are equidistant from the centre , are likewise equal . Let AB , DE be equal chords inflected within the same circle ; their ... chord is 80 ELEMENTS OF GEOMETRY .
... chords are equidistant from the centre of a circle ; and chords which are equidistant from the centre , are likewise equal . Let AB , DE be equal chords inflected within the same circle ; their ... chord is 80 ELEMENTS OF GEOMETRY .
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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.