Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 páginas |
Dentro del libro
Resultados 1-5 de 29
Página 51
... twice AE with ED , or to twice AE and twice EF , that is , to twice AF ; con sequently AF is half the sum of BC and AD . Wherefore the rectangle contained by the altitude of the A trapezoid and half the sum of its pa- B C G E F D rallel ...
... twice AE with ED , or to twice AE and twice EF , that is , to twice AF ; con sequently AF is half the sum of BC and AD . Wherefore the rectangle contained by the altitude of the A trapezoid and half the sum of its pa- B C G E F D rallel ...
Página 56
... rectangle contained by two straight lines , is equivalent to the rectangles contained under one of them and the ... twice their rectangle . If AB and BC be two straight lines placed continuous ; the square described on their sum AC ...
... rectangle contained by two straight lines , is equivalent to the rectangles contained under one of them and the ... twice their rectangle . If AB and BC be two straight lines placed continuous ; the square described on their sum AC ...
Página 57
... twice the rectangle contained by these lines . PROP . XVI . THEOR . The square described on the difference of two straight lines , is equivalent to the squares of those lines , diminished by twice their rectangle . Let AC be the ...
... twice the rectangle contained by these lines . PROP . XVI . THEOR . The square described on the difference of two straight lines , is equivalent to the squares of those lines , diminished by twice their rectangle . Let AC be the ...
Página 58
... twice the rectangle under AB and BC , -and there remains ADEC , or the square of the difference AC of the two lines AB and BC . PROP . XVII . THEOR . The rectangle ... square of BC ; and the rectangle AH 58 ELEMENTS OF GEOMETRY .
... twice the rectangle under AB and BC , -and there remains ADEC , or the square of the difference AC of the two lines AB and BC . PROP . XVII . THEOR . The rectangle ... square of BC ; and the rectangle AH 58 ELEMENTS OF GEOMETRY .
Página 61
... twice the square of GF or of DB ; and the square of AE , in the right angled tri- angle ADE , is equivalent to the ... rectangle contained by the whole line and the other . Produce AB till BC be equal to it , erect BOOK II . 61.
... twice the square of GF or of DB ; and the square of AE , in the right angled tri- angle ADE , is equivalent to the ... rectangle contained by the whole line and the other . Produce AB till BC be equal to it , erect BOOK II . 61.
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Otras ediciones - Ver todas
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 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
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.