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 σελίδες |
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Αποτελέσματα 1 - 5 από τα 36.
Σελίδα 55
... excess of the square of CF above that of CD is equivalent to the square of DF , or the square of DF is equivalent to the excess of the square of the line A above that of B. PROP . XIV . THEOR . The rectangle contained by BOOK II . 55.
... excess of the square of CF above that of CD is equivalent to the square of DF , or the square of DF is equivalent to the excess of the square of the line A above that of B. PROP . XIV . THEOR . The rectangle contained by BOOK II . 55.
Σελίδα 57
... excess of the two squares of AB and BC above twice their rectangle . For let the squares of AB , BC , and AC be completed , and produce CE and DE the sides of the latter to H and I. D F H G 1 E It is evident , BOOK II . 57.
... excess of the two squares of AB and BC above twice their rectangle . For let the squares of AB , BC , and AC be completed , and produce CE and DE the sides of the latter to H and I. D F H G 1 E It is evident , BOOK II . 57.
Σελίδα 58
... excess of the square of AB above that of BC . For , having made AG equal to AC , draw GH parallel to AD ( I. 23. ) , and CI , DH , parallel to AE . E Because GK is equal to KC or HD , and EG is equal to CB or BD , the rectangle EK is ...
... excess of the square of AB above that of BC . For , having made AG equal to AC , draw GH parallel to AD ( I. 23. ) , and CI , DH , parallel to AE . E Because GK is equal to KC or HD , and EG is equal to CB or BD , the rectangle EK is ...
Σελίδα 59
... excess of the square of AC above that of CD , and consequently the rectangle AD , DB , with the square of CD , is equivalent to the square of AC . Cor . 2. If a straight line AB be bisected in C and pro- duced to D , the rectangle ...
... excess of the square of AC above that of CD , and consequently the rectangle AD , DB , with the square of CD , is equivalent to the square of AC . Cor . 2. If a straight line AB be bisected in C and pro- duced to D , the rectangle ...
Σελίδα 65
... excess of the square of AB above that of BC is equivalent to the excess of the square of AE above that of CE . But the excess of the square of AE above that of CE is ( II , 17. ) equiva- lent to the rectangle contained by their F B DE ...
... excess of the square of AB above that of BC is equivalent to the excess of the square of AE above that of CE . But the excess of the square of AE above that of CE is ( II , 17. ) equiva- lent to the rectangle contained by their F B DE ...
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Άλλες εκδόσεις - Προβολή όλων
Elements of Geometry and Plane Trigonometry. with an Appendix, and Copious ... University Professor Emeritus John Leslie, Sir Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2016 |
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Copious ... John Leslie,University Professor Emeritus John Leslie, Sir Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2017 |
Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 110 - To describe an isosceles triangle, having each of the angles at the base double of the third angle.
Σελίδα 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.
Σελίδα 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...
Σελίδα 293 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Σελίδα 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.
Σελίδα 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...
Σελίδα 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Σελίδα 129 - The first and last terms of a proportion are called the extremes, and the two middle terms are called the means.
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.