Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 σελίδες |
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Σελίδα iii
... likewise accustoms the mind to the invaluable exercise of patient at- tention and accurate reasoning .. Of these distinct objects , the last is perhaps the most important in a course of liberal education . For this purpose , the ...
... likewise accustoms the mind to the invaluable exercise of patient at- tention and accurate reasoning .. Of these distinct objects , the last is perhaps the most important in a course of liberal education . For this purpose , the ...
Σελίδα vi
... likewise shown a very simple method of calculating heights from barometrical observa- tions , accompanied by illustrative sections ; and I have been thence led to state the law of climate , as it is modified by elevation . On this ...
... likewise shown a very simple method of calculating heights from barometrical observa- tions , accompanied by illustrative sections ; and I have been thence led to state the law of climate , as it is modified by elevation . On this ...
Σελίδα vii
... likewise to print , with all convenient speed , a short treatise on the Philosophy of Arithmetic . The substance of it is already before the public , in the Supplement to the Encyclopædia Britannica ; but I shall endea- vour to abridge ...
... likewise to print , with all convenient speed , a short treatise on the Philosophy of Arithmetic . The substance of it is already before the public , in the Supplement to the Encyclopædia Britannica ; but I shall endea- vour to abridge ...
Σελίδα viii
... likewise tends uniformly to sim- plicity and concentration . The discoveries of one age are , perhaps in the next , melted down into the mass of elementary truths . What are deemed at first merely objects of enlightened curiosity ...
... likewise tends uniformly to sim- plicity and concentration . The discoveries of one age are , perhaps in the next , melted down into the mass of elementary truths . What are deemed at first merely objects of enlightened curiosity ...
Σελίδα 2
... likewise on external observation ; but such obser- vation is so familiar and obvious , that the primary notions which it furnishes might seem intuitive , and have often been regarded as innate . This science , proceeding from a basis of ...
... likewise on external observation ; but such obser- vation is so familiar and obvious , that the primary notions which it furnishes might seem intuitive , and have often been regarded as innate . This science , proceeding from a basis of ...
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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 angle BCD 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 Geometry greater half Hence hypotenuse inscribed intercepted 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 sinAC sinB sine square of AB square of AC 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.