Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 páginas |
Dentro del libro
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Página 3
... meets the third point . The separation or opening of two straight lines at their point of intersection , constitutes an angle . If we obtain the idea of distance , or linear extent , from contemplating progressive motion , we derive ...
... meets the third point . The separation or opening of two straight lines at their point of intersection , constitutes an angle . If we obtain the idea of distance , or linear extent , from contemplating progressive motion , we derive ...
Página 7
... meet when produced ; and the an- gle so formed is called their inclination . 12. Straight lines which have no in- clination , are termed parallel . 13. A figure is a plane surface included by a linear boun- dary called its perimeter ...
... meet when produced ; and the an- gle so formed is called their inclination . 12. Straight lines which have no in- clination , are termed parallel . 13. A figure is a plane surface included by a linear boun- dary called its perimeter ...
Página 12
... meet below it ; thus marking two positions for the required tri- angle . Corollary . If the radii G and H be equal to each other , the triangle will evidently be isosceles ; and if those lines be likewise equal to the base AB , the ...
... meet below it ; thus marking two positions for the required tri- angle . Corollary . If the radii G and H be equal to each other , the triangle will evidently be isosceles ; and if those lines be likewise equal to the base AB , the ...
Página 23
... meet CB in E. The two sides AB and BE of the triangle ABE are greater than the third side AE ( I. 14. ) ; add EC to each , and AB , BE , EC , or AB and BC , are greater than AE and EC . But the sides CE and ED of the triangle DEC are ...
... meet CB in E. The two sides AB and BE of the triangle ABE are greater than the third side AE ( I. 14. ) ; add EC to each , and AB , BE , EC , or AB and BC , are greater than AE and EC . But the sides CE and ED of the triangle DEC are ...
Página 30
... meet this line on the other side below G and towards B. In the position IFH , the angle EFH is the exterior angle of ... meets AB above the point G , it makes an angle EFH greater than EGA ; G H I K and when it meets AB below that B ...
... meet this line on the other side below G and towards B. In the position IFH , the angle EFH is the exterior angle of ... meets AB above the point G , it makes an angle EFH greater than EGA ; G H I K and when it meets AB below that B ...
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Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Sin vista previa disponible - 2016 |
Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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...
Página 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...
Página 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Página 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.
Página 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.
Página 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Página 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Página 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.
Página 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.