The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Σελίδα 26
... passes , and BK , KD the other parallelograms which make up the whole figure ABCD , which are therefore called the complements . The complement BK is equal to the complement KD . H D Because ABCD is a parallelogram , and AC its diameter ...
... passes , and BK , KD the other parallelograms which make up the whole figure ABCD , which are therefore called the complements . The complement BK is equal to the complement KD . H D Because ABCD is a parallelogram , and AC its diameter ...
Σελίδα 49
... pass through the centre , it shall cut it at right angles : and if it cut it at right angles , it shall bisect it . Let ABC be a circle ; and let CD , a straight line drawn through the centre , bisect any straight line AB , which does ...
... pass through the centre , it shall cut it at right angles : and if it cut it at right angles , it shall bisect it . Let ABC be a circle ; and let CD , a straight line drawn through the centre , bisect any straight line AB , which does ...
Σελίδα 50
... passes through the centre is always greater than one more remote : and from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and ...
... passes through the centre is always greater than one more remote : and from the same point there can be drawn only two straight lines that are equal to one another , one upon each side of the shortest line . Let ABCD be a circle , and ...
Σελίδα 51
... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through the centre ; and of the rest , that which is nearer to that through the centre is always greater than the more ...
... passes through the centre ; of those which fall upon the concave circumference , the greatest is that which passes through the centre ; and of the rest , that which is nearer to that through the centre is always greater than the more ...
Σελίδα 52
Royal Military Academy, Woolwich. whereof DA passes through the centre . Of those which fall upon the concave part of the circumference AEFC , the greatest is AD which passes through the centre ; and the nearer to it is always greater ...
Royal Military Academy, Woolwich. whereof DA passes through the centre . Of those which fall upon the concave part of the circumference AEFC , the greatest is AD which passes through the centre ; and the nearer to it is always greater ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
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
Δημοφιλή αποσπάσματα
Σελίδα 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.
Σελίδα 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.
Σελίδα 4 - AB; but things which are equal to the same are equal to one another...
Σελίδα 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.
Σελίδα 8 - If two triangles have two sides of the one equal to two sides of the...
Σελίδα 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...
Σελίδα 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.
Σελίδα 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.
Σελίδα 4 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Σελίδα 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.