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 38.
Σελίδα 14
... Let ABC and DEF be two triangles , of which the side AB is equal to DE , the side BC to EF , and the angle ABC ... fall upon D , E B since AB is equal to DE . And because the angle or divergence ABC is equal to DEF , and the side ...
... Let ABC and DEF be two triangles , of which the side AB is equal to DE , the side BC to EF , and the angle ABC ... fall upon D , E B since AB is equal to DE . And because the angle or divergence ABC is equal to DEF , and the side ...
Σελίδα 17
... let fall a perpendicular upon a straight line , from a given point above it . 4 From the point C , to let fall a perpendicular upon the given straight line AB . In AB take towards A the point D , and with the distance DC describe a ...
... let fall a perpendicular upon a straight line , from a given point above it . 4 From the point C , to let fall a perpendicular upon the given straight line AB . In AB take towards A the point D , and with the distance DC describe a ...
Σελίδα 25
... let fall from the same point C upon a given straight line AB ; and hence also a pair only of equal straight lines greater than CD can at once be extended from C to AB , making on the same side , the one an obtuse angle CEA , and the ...
... let fall from the same point C upon a given straight line AB ; and hence also a pair only of equal straight lines greater than CD can at once be extended from C to AB , making on the same side , the one an obtuse angle CEA , and the ...
Σελίδα 28
... fall upon the corresponding vertex E. The two triangles ABC and DEF , thus mu- tually adapting , are hence entirely equal . Next , let the equal sides be AB and DE , which are op- posite to the equal angles BCA and EFD . The triangle ...
... fall upon the corresponding vertex E. The two triangles ABC and DEF , thus mu- tually adapting , are hence entirely equal . Next , let the equal sides be AB and DE , which are op- posite to the equal angles BCA and EFD . The triangle ...
Σελίδα 30
... fall upon two parallel straight lines , it will make the alternate angles equal , the exterior angle equal to the interior opposite one , and the two interior angles on the same side to- gether equal to two right angles . Let the ...
... fall upon two parallel straight lines , it will make the alternate angles equal , the exterior angle equal to the interior opposite one , and the two interior angles on the same side to- gether equal to two right angles . Let the ...
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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.