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 74.
Σελίδα 12
... H be equal to each other , the triangle will evidently be isosceles ; and if those lines be likewise equal to the base AB , the triangle must be equilateral . PROP . II . THEOREM . Two triangles are equal 12 ELEMENTS OF GEOMETRY .
... H be equal to each other , the triangle will evidently be isosceles ; and if those lines be likewise equal to the base AB , the triangle must be equilateral . PROP . II . THEOREM . Two triangles are equal 12 ELEMENTS OF GEOMETRY .
Σελίδα 21
... evidently greater than DAB : A B C but since BA is equal to BD , this angle DAB ( I. 10. ) is equal to ADB , and con- sequently CAB is greater than ADB . Again , the angle ADB , being an exte- rior angle of the triangle CAD , is ( I. 8 ...
... evidently greater than DAB : A B C but since BA is equal to BD , this angle DAB ( I. 10. ) is equal to ADB , and con- sequently CAB is greater than ADB . Again , the angle ADB , being an exte- rior angle of the triangle CAD , is ( I. 8 ...
Σελίδα 31
... evidently pass through the interme- diate limit of equality . Whence there is a single posi- tion CD , in which the line revolving about the point F makes the exterior angle EFC equal to the interior EGA , and at the same instant of ...
... evidently pass through the interme- diate limit of equality . Whence there is a single posi- tion CD , in which the line revolving about the point F makes the exterior angle EFC equal to the interior EGA , and at the same instant of ...
Σελίδα 49
... evidently E F by construction a rhomboid , containing an angle CDE equal to G , and being equivalent ( II . 5. ) to the triangle ABC , is therefore equivalent to the given rectilineal figure . PROP . VII . THEOR . The complements of the ...
... evidently E F by construction a rhomboid , containing an angle CDE equal to G , and being equivalent ( II . 5. ) to the triangle ABC , is therefore equivalent to the given rectilineal figure . PROP . VII . THEOR . The complements of the ...
Σελίδα 50
... evidently complementary rhom- boids about the diagonal AC , and therefore ( II . 7. ) equi- valent ; and because AE and IF are parallel , the angle FID is equal to EAI ( I. 22. ) , which again is equal to BEF or the given angle K. Schol ...
... evidently complementary rhom- boids about the diagonal AC , and therefore ( II . 7. ) equi- valent ; and because AE and IF are parallel , the angle FID is equal to EAI ( I. 22. ) , which again is equal to BEF or the given angle K. Schol ...
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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.