Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 Seiten |
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Seite 8
... isosceles triangle is that which has two of its sides equal . 16. An equilateral triangle is that which has all its sides equal . 17. A triangle whose sides are une- qual , is named scalene . It will be shown ( I. 9. cor . ) that every ...
... isosceles triangle is that which has two of its sides equal . 16. An equilateral triangle is that which has all its sides equal . 17. A triangle whose sides are une- qual , is named scalene . It will be shown ( I. 9. cor . ) that every ...
Seite 20
... triangle are equal . The angles BAC and BCA at the base of the isosceles triangle ABC are equal . For draw ( I. 5 ... equilateral triangle is also equiangular . PROP . XI . THEOR . If two angles of a triangle be equal , the sides ...
... triangle are equal . The angles BAC and BCA at the base of the isosceles triangle ABC are equal . For draw ( I. 5 ... equilateral triangle is also equiangular . PROP . XI . THEOR . If two angles of a triangle be equal , the sides ...
Seite 21
... triangle is also equilateral . Schol . By the application of this proposition , the dis- tance of an object inaccessible from one side may in some cases be measured . PROP . XII . THEOR . In any triangle , that angle is the greater ...
... triangle is also equilateral . Schol . By the application of this proposition , the dis- tance of an object inaccessible from one side may in some cases be measured . PROP . XII . THEOR . In any triangle , that angle is the greater ...
Seite 36
... triangle is equal to both its opposité interior angles , and all the interior angles of a triangle are together ... equilateral triangle is two - third parts of a right angle . Cor . 2. Hence if a triangle have its exterior angle , and ...
... triangle is equal to both its opposité interior angles , and all the interior angles of a triangle are together ... equilateral triangle is two - third parts of a right angle . Cor . 2. Hence if a triangle have its exterior angle , and ...
Seite 102
... equilateral , when their sides , in the same order , are respectively equal : They are equiangular , if an equality obtains between their corresponding angles . 6. Polygons are said to be ... isosceles triangle , 102 ELEMENTS OF GEOMETRY .
... equilateral , when their sides , in the same order , are respectively equal : They are equiangular , if an equality obtains between their corresponding angles . 6. Polygons are said to be ... isosceles triangle , 102 ELEMENTS OF GEOMETRY .
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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
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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.