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 78
Side 15
... 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 angle may be continually multiplied . Two circles CEG and ADF being described ...
... 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 angle may be continually multiplied . Two circles CEG and ADF being described ...
Side 42
... segments AH , HI , IK , KL , and LB , into which the straight line AB is di- vided , are all equal to each other ... segment AD , but only four times , or one fewer than the number of di- visions required ; then joining D , the first ...
... segments AH , HI , IK , KL , and LB , into which the straight line AB is di- vided , are all equal to each other ... segment AD , but only four times , or one fewer than the number of di- visions required ; then joining D , the first ...
Side 56
... segments into which the other is divided , The rectangle under AC and AB , is equivalent to the rectangles contained by AC and the segments AD , DE , and EB . For , through the points D and E , draw DF and EG parallel and equal to AC ...
... segments into which the other is divided , The rectangle under AC and AB , is equivalent to the rectangles contained by AC and the segments AD , DE , and EB . For , through the points D and E , draw DF and EG parallel and equal to AC ...
Side 59
... segments AD , DB , together with the square of CD , the interval between the points of section , is equivalent to the square of AC , the half line . For AD is the sum of AC , CD , and DB is evidently their difference ; whence , by the ...
... segments AD , DB , together with the square of CD , the interval between the points of section , is equivalent to the square of AC , the half line . For AD is the sum of AC , CD , and DB is evidently their difference ; whence , by the ...
Side 61
... segments AD and DB are together equivalent to twice the of the half line AC , and twice the square of CD square the interval between the points of division . PROP . XIX . PROB . To cut a given straight line , such that the square of one ...
... segments AD and DB are together equivalent to twice the of the half line AC , and twice the square of CD square the interval between the points of division . PROP . XIX . PROB . To cut a given straight line , such that the square of one ...
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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.