The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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Αποτελέσματα 6 - 10 από τα 40.
Σελίδα 28
Royal Military Academy, Woolwich. figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle ...
Royal Military Academy, Woolwich. figure ABCD , having the angle FKM equal to the given angle E. Which was to be done . COR . From this it is manifest how to a given straight line to apply a parallelogram , which shall have an angle ...
Σελίδα 49
... ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do not both pass through the centre : AC , BD do not bisect one another . For , if it is possible , let AE be equal to EC , and BE to ...
... ABCD be a circle , and AC , BD two straight lines in it , which cut one another in the point E , and do not both pass through the centre : AC , BD do not bisect one another . For , if it is possible , let AE be equal to EC , and BE to ...
Σελίδα 50
... the shortest line . Let ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : let the centre be E ; of all the straight lines FB , FC , FG , etc. that 50 EUCLID'S ELEMENTS .
... the shortest line . Let ABCD be a circle , and AD its diameter , in which let any point F be taken which is not the centre : let the centre be E ; of all the straight lines FB , FC , FG , etc. that 50 EUCLID'S ELEMENTS .
Σελίδα 56
... ABCD be a circle , of which the diameter is AD , and the centre E ; and let BC be nearer to the centre than FG : AD is greater than any straight line BC , which is not a diameter , and BC greater than FG . From the centre draw ( 12. 1 ...
... ABCD be a circle , of which the diameter is AD , and the centre E ; and let BC be nearer to the centre than FG : AD is greater than any straight line BC , which is not a diameter , and BC greater than FG . From the centre draw ( 12. 1 ...
Σελίδα 59
... ABCD be a circle , and BAD , BED angles in the same seg- ment BAED : the angles BAD , BED are equal to one another . Take ( 1. 1. ) F , the centre of the circle ABCD : and , first , let the segment BAED be greater than a semicircle ...
... ABCD be a circle , and BAD , BED angles in the same seg- ment BAED : the angles BAD , BED are equal to one another . Take ( 1. 1. ) F , the centre of the circle ABCD : and , first , let the segment BAED be greater than a semicircle ...
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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.