The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick |
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Αποτελέσματα 1 - 5 από τα 72.
Σελίδα 5
to AD ; but the straight line C is likewise equal ( Constr . ) to AD ; whence AE and
C are each of them equal to AD ; wherefore the straight line AE is equal ( 1 Ax . )
to C , and from AB , the greater of two straight lines , a part AE has been cut off ...
to AD ; but the straight line C is likewise equal ( Constr . ) to AD ; whence AE and
C are each of them equal to AD ; wherefore the straight line AE is equal ( 1 Ax . )
to C , and from AB , the greater of two straight lines , a part AE has been cut off ...
Σελίδα 6
Therefore , if two triangles have two sides of the one equal to two sides of the
other , each to each , and have likewise the angles contained by those sides
equal to one another , their bases shall likewise be equal , and the triangles be
equal ...
Therefore , if two triangles have two sides of the one equal to two sides of the
other , each to each , and have likewise the angles contained by those sides
equal to one another , their bases shall likewise be equal , and the triangles be
equal ...
Σελίδα 7
Upon the same base , and on the same side of it , there cannot be two triangles
that have their sides which are terminated in one extremity of the base equal to
one another , and likewise those which are terminated in the other extremity .
Upon the same base , and on the same side of it , there cannot be two triangles
that have their sides which are terminated in one extremity of the base equal to
one another , and likewise those which are terminated in the other extremity .
Σελίδα 8
Ax . ) is greater than the angle BCD : wherefore the angle FDC is likewise greater
than BCD ; much more then is the angle BDC greater than the angle BCD . Again
, because CB is equal ( Hyp . ) to DB , the angle BDC is equal ( 5 . 1 . ) to the ...
Ax . ) is greater than the angle BCD : wherefore the angle FDC is likewise greater
than BCD ; much more then is the angle BDC greater than the angle BCD . Again
, because CB is equal ( Hyp . ) to DB , the angle BDC is equal ( 5 . 1 . ) to the ...
Σελίδα 11
to two right angles ; but the angles ABC , ABD are likewise together equal ( Hyp .
) to two right angles ; therefore the angles CBA , ABE are equal to the angles
CBA , ABD : take away the common angle ABC , the remaining angle ABE is
equal ...
to two right angles ; but the angles ABC , ABD are likewise together equal ( Hyp .
) to two right angles ; therefore the angles CBA , ABE are equal to the angles
CBA , ABD : take away the common angle ABC , the remaining angle ABE is
equal ...
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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 |