Elements of Geometry and Conic Sections |
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Αποτελέσματα 1 - 5 από τα 8.
Σελίδα 114
Therefore the straight line EF is common to the two planes AB , CD ; that is , it is
their common section . ... Through B draw any line BG , in the plane MN ; let G be
any point of this line , and through G draw DGF , so that DG shall be equal to GF ...
Therefore the straight line EF is common to the two planes AB , CD ; that is , it is
their common section . ... Through B draw any line BG , in the plane MN ; let G be
any point of this line , and through G draw DGF , so that DG shall be equal to GF ...
Σελίδα 115
The perpendicular AB is shorter than any oblique line AD ; it therefore measures
the true distance of the point A from the plane MN . Cor . 2 . Through a given point
B in a plane , only one perpendicular can be drawn to this plane . For , if there ...
The perpendicular AB is shorter than any oblique line AD ; it therefore measures
the true distance of the point A from the plane MN . Cor . 2 . Through a given point
B in a plane , only one perpendicular can be drawn to this plane . For , if there ...
Σελίδα 116
The angle AEB is called the inclination of the line AE to the plane MN . All the
lines AC , AD , AE , & c . ... Suppose any plane , as AE , to pass through AB , and
let EF be the common section of the planes AE , MN . In the plane MN , through
the ...
The angle AEB is called the inclination of the line AE to the plane MN . All the
lines AC , AD , AE , & c . ... Suppose any plane , as AE , to pass through AB , and
let EF be the common section of the planes AE , MN . In the plane MN , through
the ...
Σελίδα 117
For in the plane MN , draw CD inrough the point B perpendicular to EF . Then ,
because the planes AE and MN are perpendicular , the angle ABD M . is a right
angle . Hence the line AB is perpendicular to the two straight lines CD , EF at
their ...
For in the plane MN , draw CD inrough the point B perpendicular to EF . Then ,
because the planes AE and MN are perpendicular , the angle ABD M . is a right
angle . Hence the line AB is perpendicular to the two straight lines CD , EF at
their ...
Σελίδα 118
In the plane MN , draw the straight line BD joining the points B and D . Through
the lines AB , BD pass the plane EF ; it will be perpendicular to m _ the plane MN
( Prop . VI . ) ; also , the line CD will lie in this plane , because it is perpendicular ...
In the plane MN , draw the straight line BD joining the points B and D . Through
the lines AB , BD pass the plane EF ; it will be perpendicular to m _ the plane MN
( Prop . VI . ) ; also , the line CD will lie in this plane , because it is perpendicular ...
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD altitude angle ABC angle ACB angle BAC base bisected called chord circle circumference coincide College common cone consequently construct contained convex surface curve described diagonals diameter difference distance divided draw drawn ellipse equal equivalent extremities faces fall figure foci formed four frustum given greater half hence hyperbola included inscribed intersect join less Loomis major axis manner Mathematics mean measured meet multiplied opposite ordinate parallel parallelogram parallelopiped pass perpendicular plane plane MN polygon prism PROBLEM Professor Prop proportional PROPOSITION proved pyramid radii radius ratio reason rectangle regular represent right angles Scholium segment sides similar solid sphere spherical square straight line tangent THEOREM third triangle ABC vertex vertices VIII whole
Δημοφιλή αποσπάσματα
Σελίδα 60 - Any two rectangles are to each other as the products of their bases by their altitudes.
Σελίδα 17 - If two triangles have two sides, and the included angle of the one, equal to two sides and the included angle of the other, each to each, the two triangles will be equal, their third sides will be equal, and their other angles will be equal, each to each.
Σελίδα 101 - When you have proved that the three angles of every triangle are equal to two right angles...
Σελίδα 63 - IF a straight line be divided into any two parts, the square of the whole line is equal to the squares of the two parts, together with twice the' rectangle contained by the parts.
Σελίδα 18 - BC common to the two triangles, which is adjacent to their equal angles ; therefore their other sides shall be equal, each to each, and the third angle of the one to the third angle of the other, (26.
Σελίδα 10 - When a straight line standing on another straight line makes the adjacent angles equal to one another, each of the angles is called a right angle ; and the straight line which stands on the other is called a perpendicular to it.
Σελίδα 32 - 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.
Σελίδα 37 - Proportional, when the ratio of the first to the second is equal to the ratio of the second to the third.
Σελίδα 15 - Wherefore, when a straight line, &c. QED PROP. XIV. THEOR. If, at a point in a straight line, two other straight lines, upon the opposite sides of it, make the adjacent angles together equal to two right angles, these two straight lines shall be in one and the same straight line.
Σελίδα 44 - A Circle is a plane figure bounded by a curved line every point of which is equally distant from a point within called the center.
Πληροφορίες βιβλιογραφίας
| Τίτλος | Elements of Geometry and Conic Sections |
| Συγγραφέας | Elias Loomis |
| Έκδοση | 15 |
| Εκδότης | Harper, 1858 |
| Πρωτότυπο από | η Δημόσια Βιβλιοθήκη της Νέας Υόρκης |
| Ψηφιοποιήθηκε στις | 22 Ιουν. 2006 |
| Μέγεθος | 234 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |