The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick |
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Αποτελέσματα 1 - 5 από τα 58.
Σελίδα 2
... and the circumference it cuts off . 20 . Rectilineal figures are those which are
contained by straight lines . 21 . Trilateral figures , or triangles , by three straight
lines . 22 . Quadrilateral by four straight lines . 23 . Multilateral figures , or
polygons ...
... and the circumference it cuts off . 20 . Rectilineal figures are those which are
contained by straight lines . 21 . Trilateral figures , or triangles , by three straight
lines . 22 . Quadrilateral by four straight lines . 23 . Multilateral figures , or
polygons ...
Σελίδα 3
Of four - sided figures , a square is that which has all its sides equal , and all its
angles right angles . 31 . An oblong is that which has all its angles right angles ,
but has not all its sides equal . 32 . A rhombus is that which has all its sides equal
...
Of four - sided figures , a square is that which has all its sides equal , and all its
angles right angles . 31 . An oblong is that which has all its angles right angles ,
but has not all its sides equal . 32 . A rhombus is that which has all its sides equal
...
Σελίδα 12
From this it is manifest , that , if two straight lines cut one another , the angles they
make at the point where they cut , are together equal to four right angles . Cor . 2 .
And consequently that all the angles inade by any number of lines meeting in ...
From this it is manifest , that , if two straight lines cut one another , the angles they
make at the point where they cut , are together equal to four right angles . Cor . 2 .
And consequently that all the angles inade by any number of lines meeting in ...
Σελίδα 20
All the interior angles of any rectilineal figure , together with four right angles , are
equal to twice as many right angles as the figure has sides . For any rectilineal
figure ABCDE can be divided into as many triangles as the figure has sides , by ...
All the interior angles of any rectilineal figure , together with four right angles , are
equal to twice as many right angles as the figure has sides . For any rectilineal
figure ABCDE can be divided into as many triangles as the figure has sides , by ...
Σελίδα 21
together with four right angles . Therefore all the angles of the figure , together
with four right angles , are equal to twice as many right angles as the figure has
sides . Cor . 2 . All the exterior angles of any rectilineal figure are together equal
to ...
together with four right angles . Therefore all the angles of the figure , together
with four right angles , are equal to twice as many right angles as the figure has
sides . Cor . 2 . All the exterior angles of any rectilineal figure are together equal
to ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD angle ABC axis base bisected called centre circle circumference coincide common cone construction contained coordinate planes describe diameter difference dihedral angles distance divided double draw drawn edges equal equal angles equimultiples extremities faces figure four fourth given line given point greater hence horizontal inclination intersection join less likewise magnitudes manner means meet method multiple opposite parallel parallel planes parallelogram pass perpendicular perspective picture plane MN plane of projection position preceding prism problem produced projection Prop proportionals PROPOSITION ratio reason rectangle rectilineal remaining respectively right angles segment shadow shown sides similar sphere square straight line surface taken tangent THEOR third touch trace triangle triangle ABC vertical Whence Wherefore whole
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.
Πληροφορίες βιβλιογραφίας
| Τίτλος | The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick Τόμος 2 του An Elementary Course of Mathematics, Royal Military Academy, Woolwich |
| Συγγραφέας | Royal Military Academy, Woolwich |
| Εκδότης | J. Weale, 1853 |
| Πρωτότυπο από | Πανεπιστήμιο Χάρβαρντ |
| Ψηφιοποιήθηκε στις | 14 Ιουλ. 2007 |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |