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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Σελίδα vii
... propositions , not only beautiful in themselves , but which pave the way to the higher branches of Geometry , or lead ... proposition which has a distinct reference to practice . Some of the pro- blems annexed to the treatise are of ...
... propositions , not only beautiful in themselves , but which pave the way to the higher branches of Geometry , or lead ... proposition which has a distinct reference to practice . Some of the pro- blems annexed to the treatise are of ...
Σελίδα 10
... when , being applied to each other , they wholly coincide ; they are equivalent , if , without coinciding , they yet contain the same space . A PROPOSITION is a distinct portion of abstract science : 10 ELEMENTS OF GEOMETRY .
... when , being applied to each other , they wholly coincide ; they are equivalent , if , without coinciding , they yet contain the same space . A PROPOSITION is a distinct portion of abstract science : 10 ELEMENTS OF GEOMETRY .
Σελίδα 11
... proposition . A SCHOLIUM is an excursive remark on the nature and application of a train of reasoning . An HYPOTHESIS is a condition premised , or a supposi- tion advanced . The operations in Geometry suppose the drawing of straight ...
... proposition . A SCHOLIUM is an excursive remark on the nature and application of a train of reasoning . An HYPOTHESIS is a condition premised , or a supposi- tion advanced . The operations in Geometry suppose the drawing of straight ...
Σελίδα 12
With an Appendix, and Very Copious Notes and Illustrations Sir John Leslie. " PROPOSITION I. PROBLEM . To construct a triangle , of which the three sides are given . Let AB represent the base , and G , H two sides of the triangle which ...
With an Appendix, and Very Copious Notes and Illustrations Sir John Leslie. " PROPOSITION I. PROBLEM . To construct a triangle , of which the three sides are given . Let AB represent the base , and G , H two sides of the triangle which ...
Σελίδα 13
... proposition is only the preceding one changed into a theorem , It may be applied to the con- struction of complex rectilineal figures ; for since any such figure may be divided into triangles , these , being sepa- rately constituted ...
... proposition is only the preceding one changed into a theorem , It may be applied to the con- struction of complex rectilineal figures ; for since any such figure may be divided into triangles , these , being sepa- rately constituted ...
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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.