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 29.
Σελίδα 51
... twice AE with ED , or to twice AE and twice EF , that is , to twice AF ; con sequently AF is half the sum of BC and AD . Wherefore the rectangle contained by the altitude of the A trapezoid and half the sum of its pa- B C G E F D rallel ...
... twice AE with ED , or to twice AE and twice EF , that is , to twice AF ; con sequently AF is half the sum of BC and AD . Wherefore the rectangle contained by the altitude of the A trapezoid and half the sum of its pa- B C G E F D rallel ...
Σελίδα 56
... rectangle contained by two straight lines , is equivalent to the rectangles contained under one of them and the ... twice their rectangle . If AB and BC be two straight lines placed continuous ; the square described on their sum AC ...
... rectangle contained by two straight lines , is equivalent to the rectangles contained under one of them and the ... twice their rectangle . If AB and BC be two straight lines placed continuous ; the square described on their sum AC ...
Σελίδα 57
... twice the rectangle contained by these lines . PROP . XVI . THEOR . The square described on the difference of two straight lines , is equivalent to the squares of those lines , diminished by twice their rectangle . Let AC be the ...
... twice the rectangle contained by these lines . PROP . XVI . THEOR . The square described on the difference of two straight lines , is equivalent to the squares of those lines , diminished by twice their rectangle . Let AC be the ...
Σελίδα 58
... twice the rectangle under AB and BC , -and there remains ADEC , or the square of the difference AC of the two lines AB and BC . PROP . XVII . THEOR . The rectangle ... square of BC ; and the rectangle AH 58 ELEMENTS OF GEOMETRY .
... twice the rectangle under AB and BC , -and there remains ADEC , or the square of the difference AC of the two lines AB and BC . PROP . XVII . THEOR . The rectangle ... square of BC ; and the rectangle AH 58 ELEMENTS OF GEOMETRY .
Σελίδα 61
... twice the square of GF or of DB ; and the square of AE , in the right angled tri- angle ADE , is equivalent to the ... rectangle contained by the whole line and the other . Produce AB till BC be equal to it , erect BOOK II . 61.
... twice the square of GF or of DB ; and the square of AE , in the right angled tri- angle ADE , is equivalent to the ... rectangle contained by the whole line and the other . Produce AB till BC be equal to it , erect BOOK II . 61.
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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.