The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Αποτελέσματα 1 - 5 από τα 32.
Σελίδα 46
... touch a circle when it meets the circle , and being produced , does not cut it . 3. Circles are said to touch one another which meet but do not cut one another . 4. Straight lines are said to be equally distant from the centre of a ...
... touch a circle when it meets the circle , and being produced , does not cut it . 3. Circles are said to touch one another which meet but do not cut one another . 4. Straight lines are said to be equally distant from the centre of a ...
Σελίδα 50
... touch another internally , they shall not have the same centre . Let the two circles ABC , CDE touch one another in the point C : they have not the same centre . For if they have , let it be F ; join FC , and draw any straight line FEB ...
... touch another internally , they shall not have the same centre . Let the two circles ABC , CDE touch one another in the point C : they have not the same centre . For if they have , let it be F ; join FC , and draw any straight line FEB ...
Σελίδα 53
... touch another internally , the straight line which joins their centres , being produced , shall pass through the point of contact . Let the two circles ABC , ADE touch each other in the point A ; and let F be the centre of the circle ...
... touch another internally , the straight line which joins their centres , being produced , shall pass through the point of contact . Let the two circles ABC , ADE touch each other in the point A ; and let F be the centre of the circle ...
Σελίδα 54
... touch each other externally , the straight line which joins their centres shall pass through the point of contact . Let the two circles ABC , ADE touch each other externally in the point A ; and let F be the centre of the circle ABC ...
... touch each other externally , the straight line which joins their centres shall pass through the point of contact . Let the two circles ABC , ADE touch each other externally in the point A ; and let F be the centre of the circle ABC ...
Σελίδα 55
... touch another on the outside in more than one point : and it has been shown that they cannot touch on the inside in more points than one . Therefore , one circle , etc. Q. E. D. PROPOSITION XIV . THEOR . Equal straight lines in a circle ...
... touch another on the outside in more than one point : and it has been shown that they cannot touch on the inside in more points than one . Therefore , one circle , etc. Q. E. D. PROPOSITION XIV . THEOR . Equal straight lines in a circle ...
Άλλες εκδόσεις - Προβολή όλων
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.