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 100.
Σελίδα 10
... circle is a figure described by the revolution of a straight line about one of its extremities : 34. The fixed point is called the centre of the circle , the describing line its radius , and the boundary traced by the remote end of that ...
... circle is a figure described by the revolution of a straight line about one of its extremities : 34. The fixed point is called the centre of the circle , the describing line its radius , and the boundary traced by the remote end of that ...
Σελίδα 12
... circle , meeting the former in the point C : АСБ is the triangle required . Because all the radii of the same circle are equal , AC is equal to G ; and , for the same reason , BC is equal to H. A G H C B Consequently the triangle ACB ...
... circle , meeting the former in the point C : АСБ is the triangle required . Because all the radii of the same circle are equal , AC is equal to G ; and , for the same reason , BC is equal to H. A G H C B Consequently the triangle ACB ...
Σελίδα 13
... circle described from D with the distance DF ; and , for the same reason , B must be found in the circumference of a circle de- scribed from E with the distance D EA B EF : The vertex of the triangle ACB must , therefore , ap- pear ...
... circle described from D with the distance DF ; and , for the same reason , B must be found in the circumference of a circle de- scribed from E with the distance D EA B EF : The vertex of the triangle ACB must , therefore , ap- pear ...
Σελίδα 17
... circle ; and , in the same line , take towards B another point E , and with the distance EC describe a second circle intersecting the former in F ; join CF , crossing the gi- ven line in G : CG is perpendicular to AB . C For the ...
... circle ; and , in the same line , take towards B another point E , and with the distance EC describe a second circle intersecting the former in F ; join CF , crossing the gi- ven line in G : CG is perpendicular to AB . C For the ...
Σελίδα 72
... circle , or one circle touches another , is called the point of contact . 7. A straight line is said to be inflected from a point , when it terminates in another straight line , or at the circumference of a circle . O . PROP . I. THEOR ...
... circle , or one circle touches another , is called the point of contact . 7. A straight line is said to be inflected from a point , when it terminates in another straight line , or at the circumference of a circle . O . PROP . I. THEOR ...
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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.