The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Seite 9
... divided into two equal parts in the point D. Which was to be done . PROPOSITION XI . A PROB . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a ...
... divided into two equal parts in the point D. Which was to be done . PROPOSITION XI . A PROB . To draw a straight line at right angles to a given straight line , from a given point in the same . Let AB be a given straight line , and C a ...
Seite 20
... divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition , all the angles of these triangles are A D C equal to twice ...
... divided into as many triangles as the figure has sides , by drawing straight lines from a point F within the figure to each of its angles . And , by the preceding proposition , all the angles of these triangles are A D C equal to twice ...
Seite 30
... divided into any number of equal parts , and lines be drawn through the several points of division parallel to the base , these parallels will divide the other side into the same number of equal parts . Also ( b ) , the second , third ...
... divided into any number of equal parts , and lines be drawn through the several points of division parallel to the base , these parallels will divide the other side into the same number of equal parts . Also ( b ) , the second , third ...
Seite 33
... divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and BC be two straight lines ; and let ...
... divided into any number of parts ; the rectangle contained by the two straight lines is equal to the rectangles contained by the undivided line , and the several parts of the divided line . Let A and BC be two straight lines ; and let ...
Seite 34
... divided into any two parts , the rect- angles contained by the whole and each of the parts are together equal to the square of the whole line . Let the straight line AB be divided into any two parts in the point C ; the rectangle ...
... divided into any two parts , the rect- angles contained by the whole and each of the parts are together equal to the square of the whole line . Let the straight line AB be divided into any two parts in the point C ; the rectangle ...
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Häufige Begriffe und Wortgruppen
ABC is equal ABCD angle ABC angle BAC axis bisected centre circle ABC circumference coincide cone conic section construction coordinate planes curve described Descriptive Geometry dicular dihedral angles directrix distance draw edges ellipse equal angles equiangular equimultiples given line given point given straight line greater hence inclination intersection join less Let ABC Let the plane line BC lines drawn magnitudes meet multiple opposite orthograph parabola parallel planes parallelogram parallelopiped perpen perpendicular plane MN plane of projection plane parallel plane PQ prisms profile angles profile plane projecting plane projector Prop Q. E. D. PROPOSITION ratio rectangle rectangle contained rectilineal figure remaining angle respectively right angles SCHOLIUM segment sides six right sphere spherical spherical angle tangent THEOR trace triangle ABC trihedral vertex vertical plane Whence Wherefore
Beliebte Passagen
Seite 19 - That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.
Seite 35 - If a straight line be divided into two equal parts, and also into two unequal parts ; the rectangle contained by the unequal parts, together with the square on the line between the points of section, is equal to the square on half the line.
Seite 4 - AB; but things which are equal to the same are equal to one another...
Seite 128 - EQUIANGULAR parallelograms have to one another the ratio which is compounded of the ratios of their sides.* Let AC, CF be equiangular parallelograms, having the angle BCD equal to the angle ECG : the ratio of the parallelogram AC to the parallelogram CF, is the same with the ratio which is compounded of the ratios of their sides. Let BG, CG, be placed in a straight line ; therefore DC and CE are also in a straight line (14.
Seite 8 - If two triangles have two sides of the one equal to two sides of the...
Seite 36 - If a straight line be bisected and produced to any point, the rectangle contained by the whole line thus produced and the part of it produced...
Seite 21 - BCD, and the other angles to the other angles, (4. 1.) each to each, to which the equal sides are opposite : therefore the angle ACB is equal to the angle CBD ; and because the straight line BC meets the two straight lines AC, BD, and makes the alternate angles ACB, CBD equal to one another, AC is parallel (27. 1 .) to DB ; and it was shown to be equal to it. Therefore straight lines, &c.
Seite 65 - If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the circle, the angles which this line makes with the line touching the circle shall be equal to the angles which are in the alternate segments of the circle.
Seite 4 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Seite 116 - If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.