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 |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 58.
Σελίδα 11
... . The operations in Geometry suppose the drawing of straight lines and the description of circles , or they require in practice the use of the rule and compasses . " PROPOSITION I. PROBLEM . To construct a triangle , BOOK I. 11.
... . The operations in Geometry suppose the drawing of straight lines and the description of circles , or they require in practice the use of the rule and compasses . " PROPOSITION I. PROBLEM . To construct a triangle , BOOK I. 11.
Σελίδα 20
... . 3. ) are , therefore , equal . But this con- clusion is manifestly absurd . To suppose then the inequality of AB and BC , would Λ involve a contradiction ; and consequently those sides must be 20 ELEMENTS OF GEOMETRY .
... . 3. ) are , therefore , equal . But this con- clusion is manifestly absurd . To suppose then the inequality of AB and BC , would Λ involve a contradiction ; and consequently those sides must be 20 ELEMENTS OF GEOMETRY .
Σελίδα 25
... of the latter . In the triangles ABC and DEF , let the sides AB and BC be equal to DE and EF , but the angle ABC greater than DEF ; then is the base AC likewise greater than DF . For , suppose AB one of the sides to be BOOK I. 25.
... of the latter . In the triangles ABC and DEF , let the sides AB and BC be equal to DE and EF , but the angle ABC greater than DEF ; then is the base AC likewise greater than DF . For , suppose AB one of the sides to be BOOK I. 25.
Σελίδα 26
... suppose AB one of the sides to be not greater than the other side BC or EF ; draw BG equal to EF , and ( I. 4. ) making an angle ABG equal to DEF , join AG and GC . Because AB and BG are equal to DE and EF , and their contained angle ...
... suppose AB one of the sides to be not greater than the other side BC or EF ; draw BG equal to EF , and ( I. 4. ) making an angle ABG equal to DEF , join AG and GC . Because AB and BG are equal to DE and EF , and their contained angle ...
Σελίδα 27
... suppose the angle ABC less than DEF , since the triangles BAC and EDF , having their sides AB , BC equal to DE , EF , but the contained angle ABC less than DEF , or DEF great- er than ABC , the base DF would , from the preceding ...
... suppose the angle ABC less than DEF , since the triangles BAC and EDF , having their sides AB , BC equal to DE , EF , but the contained angle ABC less than DEF , or DEF great- er than ABC , the base DF would , from the preceding ...
Περιεχόμενα
225 | |
260 | |
262 | |
283 | |
285 | |
302 | |
319 | |
328 | |
125 | |
128 | |
155 | |
201 | |
202 | |
215 | |
221 | |
223 | |
339 | |
352 | |
362 | |
370 | |
378 | |
431 | |
444 | |
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.