Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious Notes and IllustrationsA. Constable & Company, 1817 - 432 sider |
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Resultat 1-5 av 91
Side 16
... perpendicular from a given point B in the straight line AC ; for the angle ABC , which the opposite seg- F ments BA and BC make with each other , being equal to two right angles , the straight line that bisects it must be the per ...
... perpendicular from a given point B in the straight line AC ; for the angle ABC , which the opposite seg- F ments BA and BC make with each other , being equal to two right angles , the straight line that bisects it must be the per ...
Side 17
... perpendicular to AC . Schol . In the general construction , the isosceles triangle DFE may stand either below or ... perpendicular upon a straight line , from a given point above it . 4 From the point C , to let fall a perpendicular upon ...
... perpendicular to AC . Schol . In the general construction , the isosceles triangle DFE may stand either below or ... perpendicular upon a straight line , from a given point above it . 4 From the point C , to let fall a perpendicular upon ...
Side 24
... perpendicular is the shortest of them all ; the lines equidistant from it on both sides are equal ; and those more remote are greater than such as are nearer . Of the straight lines CG , CE , CD , and CF drawn from a given point C to ...
... perpendicular is the shortest of them all ; the lines equidistant from it on both sides are equal ; and those more remote are greater than such as are nearer . Of the straight lines CG , CE , CD , and CF drawn from a given point C to ...
Side 25
... perpendicular CD can be 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 ...
... perpendicular CD can be 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 ...
Side 29
... perpendicular EF ( I. 17. cor . ) CD and , in like manner , if this angle at F be either obtuse or acute , the line EF , which forms it , can , for the same rea- son , have only one corresponding position . - Whence , in each of these ...
... perpendicular EF ( I. 17. cor . ) CD and , in like manner , if this angle at F be either obtuse or acute , the line EF , which forms it , can , for the same rea- son , have only one corresponding position . - Whence , in each of these ...
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Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... Sir John Leslie Uten tilgangsbegrensning - 1817 |
Elements of Geometry and Plane Trigonometry: With an Appendix, and Copious ... Sir John Leslie Uten tilgangsbegrensning - 1817 |
Elements of Geometry, and Plane Trigonometry: With an Appendix, and Very ... University Professor Emeritus John Leslie, Sir Ingen forhåndsvisning tilgjengelig - 2016 |
Vanlige uttrykk og setninger
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
Populære avsnitt
Side 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.
Side 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...
Side 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...
Side 10 - A diameter of a circle is a straight line drawn through the centre, and terminated both ways by the circumference.
Side 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.
Side 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.
Side 292 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Side 93 - UPON a given straight line to describe a segment of a circle containing an angle equal to a given rectilineal angle.
Side 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.
Side 58 - The rectangle contained by the sum and difference of two straight lines is equivalent to the difference of the squares of these lines.