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 59.
Σελίδα vii
... successive im- provements , arrived at such a state of maturity , that I shall hardly be tempted in any future ́edi- tion to alter it . It will be followed , without delay , by another volume , which is to contain the tract on ...
... successive im- provements , arrived at such a state of maturity , that I shall hardly be tempted in any future ́edi- tion to alter it . It will be followed , without delay , by another volume , which is to contain the tract on ...
Σελίδα 2
... successive acts of abstraction , reduce the com- plex idea which arises in the mind into others that are successively simpler . Body , divested of all its essential characters , presents the mere idea of sur- face ; a surface ...
... successive acts of abstraction , reduce the com- plex idea which arises in the mind into others that are successively simpler . Body , divested of all its essential characters , presents the mere idea of sur- face ; a surface ...
Σελίδα 6
... successive openings , would return into its original place , -and consequently each of those angles is a right angle . E The angle contained by the opposite portions DA and DB of a straight line is hence equal to two right angles ; and ...
... successive openings , would return into its original place , -and consequently each of those angles is a right angle . E The angle contained by the opposite portions DA and DB of a straight line is hence equal to two right angles ; and ...
Σελίδα 15
... successive application of this problem an angle may be continually multiplied . Two circles CEG and ADF being described from the vertex B of the given angle with radii BC and BA equal to its sides , and the base AC being repeatedly ...
... successive application of this problem an angle may be continually multiplied . Two circles CEG and ADF being described from the vertex B of the given angle with radii BC and BA equal to its sides , and the base AC being repeatedly ...
Σελίδα 37
... successive application of triangles , by which the figure , at each accession , has the number of its sides increased by one , and the amount of its interior angles augmented by two right angles . PROP . XXXII . THEOR . The exterior ...
... successive application of triangles , by which the figure , at each accession , has the number of its sides increased by one , and the amount of its interior angles augmented by two right angles . PROP . XXXII . THEOR . The exterior ...
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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 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 given greater half Hence hypotenuse inscribed 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 sine square of AC squares of AB straight line 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.