The synoptical Euclid; being the first four books of Euclid's Elements of geometry, with exercises, by S.A. Good |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 35.
Σελίδα 2
An obtuse angle is that which is greater than a right angle . XII . An acute angle is
that which is less than a right angle . XIII . " A term or boundary is the extremity of
any thing . " XIV . A figure is that which is inclosed by EUCLID ' S ELEMENTS .
An obtuse angle is that which is greater than a right angle . XII . An acute angle is
that which is less than a right angle . XIII . " A term or boundary is the extremity of
any thing . " XIV . A figure is that which is inclosed by EUCLID ' S ELEMENTS .
Σελίδα 6
If a straight line meet two straight lines , so as to make the two interior angles on
the same side of it taken together less than two right angles , these straight lines
being continually produced , shall at length meet upon that side on which are the
...
If a straight line meet two straight lines , so as to make the two interior angles on
the same side of it taken together less than two right angles , these straight lines
being continually produced , shall at length meet upon that side on which are the
...
Σελίδα 8
PROP . III . - - PROBLEM . From the greater of two given straight lines to cut off a
part equal to the less . Let AB and C be the two given straight lines , whereof AB
is the greater . It is required to cut off from AB , the greater , a part equal to C , the
...
PROP . III . - - PROBLEM . From the greater of two given straight lines to cut off a
part equal to the less . Let AB and C be the two given straight lines , whereof AB
is the greater . It is required to cut off from AB , the greater , a part equal to C , the
...
Σελίδα 10
to AF , the less , and join FC , GB . Because AF is equal ( Constr . ) to AG , and AB
( Hypothesis ) to AC , the two sides FA , AC are equal to the two GA , AB , each to
each ; and they contain the angle FAG common to the two triangles AFC , AGB ...
to AF , the less , and join FC , GB . Because AF is equal ( Constr . ) to AG , and AB
( Hypothesis ) to AC , the two sides FA , AC are equal to the two GA , AB , each to
each ; and they contain the angle FAG common to the two triangles AFC , AGB ...
Σελίδα 11
The base DC is equal to the base AB , and the triangle DBC is equal to the
triangle ACB , the less to the greater ; which is absurd . Therefore 3 . AB is not
unequal to AC ; that is , it is equal to it . Wherefore , if two angles , & c . Q . E . D ,
CoR .
The base DC is equal to the base AB , and the triangle DBC is equal to the
triangle ACB , the less to the greater ; which is absurd . Therefore 3 . AB is not
unequal to AC ; that is , it is equal to it . Wherefore , if two angles , & c . Q . E . D ,
CoR .
Τι λένε οι χρήστες - Σύνταξη κριτικής
Δεν εντοπίσαμε κριτικές στις συνήθεις τοποθεσίες.
Άλλες εκδόσεις - Προβολή όλων
Συχνά εμφανιζόμενοι όροι και φράσεις
ABCD AC is equal angle ABC angle ACB angle BAC angle BCD angle equal base base BC bisected centre circle ABC circumference coincide common demonstrated describe diameter distance divided double draw equal angles equal Constr exterior angle extremity fall figure four given circle given point given straight line given triangle greater impossible inscribed join less Let ABC Let the straight likewise manner meet opposite angles parallel parallelogram pass pentagon perpendicular point F PROBLEM produced Q.E.D. PROP reason rectangle contained rectilineal figure remaining angle required to describe right angles segment semicircle shown sides square of AC straight line AC touches the circle triangle ABC twice the rectangle wherefore whole
Δημοφιλή αποσπάσματα
Σελίδα 26 - If two triangles have two angles of the one equal to two angles of the other, each to each ; and one side equal to one side, viz. either the sides adjacent to the equal...
Σελίδα 22 - If from the ends of a side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than the other two sides of the triangle, but shall contain a greater angle.
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 1 - A plane superficies is that in which any two points being taken, the straight line between them lies wholly in that superficies. vm. "A plane angle is the inclination of two lines to one another in a plane, which meet together, but are not in the same direction.
Σελίδα 97 - If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle, shall be equal to the square of the line which touches it.
Σελίδα 7 - AB; but things which are equal to the same are equal to one another...
Σελίδα 14 - To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line : it is required to divide it intotwo equal parts.
Σελίδα 53 - IF a straight line be divided into any two parts, the squares of the whole line, and of one of the parts, are equal to twice the rectangle contained by the whole and that part, together with the square of the other part.
Σελίδα 41 - To a given straight line to apply a parallelogram, which shall be equal to a given triangle, and have one of its angles equal to a given rectilineal angle.
Σελίδα 52 - 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...
Πληροφορίες βιβλιογραφίας
| Τίτλος | The synoptical Euclid; being the first four books of Euclid's Elements of geometry, with exercises, by S.A. Good |
| Συγγραφέας | Euclides |
| Επιμελητής | Samuel A Good |
| Εκδόθηκε | 1853 |
| Πρωτότυπο από | Πανεπιστήμιο Οξφόρδης |
| Ψηφιοποιήθηκε στις | 7 Σεπτ. 2006 |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |