The geometry, by T. S. Davies. Conic sections, by Stephen FenwickJ. Weale, 1853 |
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... METHOD OF CONTOURS . CONTOURS General Principles Graduation of Horizontally Projected Lines Planes 339 · 344 349 General Principles Practical Perspective Miscellaneous Propositions Isometric Projection Projections of the Sphere ...
... METHOD OF CONTOURS . CONTOURS General Principles Graduation of Horizontally Projected Lines Planes 339 · 344 349 General Principles Practical Perspective Miscellaneous Propositions Isometric Projection Projections of the Sphere ...
Página 84
... method like to that used for the pentagon . PROPOSITION XVI . PROB . To inscribe an equilateral and equiangular quindecagon in a given circle . Let ABCD be the given circle ; it is required to inscribe an equi- lateral and equiangular ...
... method like to that used for the pentagon . PROPOSITION XVI . PROB . To inscribe an equilateral and equiangular quindecagon in a given circle . Let ABCD be the given circle ; it is required to inscribe an equi- lateral and equiangular ...
Página 110
... be also the same . [ This theorem is important , and must be demonstrated by the pupil . The method ex absurdo is perhaps the most simple . ] BOOK VI . DEFINITIONS . 1. SIMILAR rectilineal figures are 110 EUCLID'S ELEMENTS .
... be also the same . [ This theorem is important , and must be demonstrated by the pupil . The method ex absurdo is perhaps the most simple . ] BOOK VI . DEFINITIONS . 1. SIMILAR rectilineal figures are 110 EUCLID'S ELEMENTS .
Página 139
... method we employ , the description must be adequate , complete , and devoid of superfluous con- ditions . The postulate simply predicates that the elementary figures are con- structible , leaving out all implication of the means of ...
... method we employ , the description must be adequate , complete , and devoid of superfluous con- ditions . The postulate simply predicates that the elementary figures are con- structible , leaving out all implication of the means of ...
Página 157
... method of putting a point in perspective . PROPOSITION XXVI . Let there be a point E on one side of the plane MN , and any number of parallel lines AB , A'B ' , etc. , on the other ; and let EF be drawn parallel to them meeting the ...
... method of putting a point in perspective . PROPOSITION XXVI . Let there be a point E on one side of the plane MN , and any number of parallel lines AB , A'B ' , etc. , on the other ; and let EF be drawn parallel to them meeting the ...
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Términos y frases comunes
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
Pasajes populares
Página 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.
Página 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.
Página 4 - AB; but things which are equal to the same are equal to one another...
Página 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.
Página 8 - If two triangles have two sides of the one equal to two sides of the...
Página 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...
Página 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.
Página 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.
Página 4 - Magnitudes which coincide with one another, that is, which exactly fill the same space, are equal to one another.
Página 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.