Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
Im Buch
Ergebnisse 6-10 von 100
Seite 10
... likewise appears , from the slightest inspection , that a circle can only have one centre , and that circles are equal which have equal diameters . 36. Figures are said to be equal , when , applied to each other , they wholly coincide ...
... likewise appears , from the slightest inspection , that a circle can only have one centre , and that circles are equal which have equal diameters . 36. Figures are said to be equal , when , applied to each other , they wholly coincide ...
Seite 12
... 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 triangle must be equi- lateral . PROP . II . THEOREM . Two triangles are equal 12 ELEMENTS OF GEOMETRY .
... 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 triangle must be equi- lateral . PROP . II . THEOREM . Two triangles are equal 12 ELEMENTS OF GEOMETRY .
Seite 15
... likewise equal ( I. 2. ) , and consequently IDK is equal to GAH . Cor . If the segments AG , AH be taken equal , the con- struction will be rendered simpler and more commodious . Schol . By the successive application of this problem an ...
... likewise equal ( I. 2. ) , and consequently IDK is equal to GAH . Cor . If the segments AG , AH be taken equal , the con- struction will be rendered simpler and more commodious . Schol . By the successive application of this problem an ...
Seite 19
... likewise greater than three right angles . PROP . IX . THEOR . Any two angles of a triangle are together less than two right angles . The two angles BAC and BCA of the triangle ABC are together less than two right angles . For produce ...
... likewise greater than three right angles . PROP . IX . THEOR . Any two angles of a triangle are together less than two right angles . The two angles BAC and BCA of the triangle ABC are together less than two right angles . For produce ...
Seite 20
... likewise equal . Let the triangle ABC have two equal angles BCA and BAC ; the opposite sides AB and BC are also equal . For if AB be not equal to CB , let it be equal to CD , and join AD . B Comparing now the triangles BAC and DCA , the ...
... likewise equal . Let the triangle ABC have two equal angles BCA and BAC ; the opposite sides AB and BC are also equal . For if AB be not equal to CB , let it be equal to CD , and join AD . B Comparing now the triangles BAC and DCA , the ...
Andere Ausgaben - Alle anzeigen
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Keine Leseprobe verfügbar - 2016 |
Häufige Begriffe und Wortgruppen
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
Beliebte Passagen
Seite 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.
Seite 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...
Seite 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...
Seite 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Seite 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.
Seite 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.
Seite 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Seite 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Seite 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.
Seite 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.