The synoptical Euclid; being the first four books of Euclid's Elements of geometry, with exercises, by S.A. Good |
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Αποτελέσματα 1 - 5 από τα 45.
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
The whole is greater than its part . Two straight lines cannot inclose a space . XI .
All right angles are equal to one another . XII . “ If a straight line meet two straight
lines , so as to make the two interior angles on the same side of it taken together
...
The whole is greater than its part . Two straight lines cannot inclose a space . XI .
All right angles are equal to one another . XII . “ If a straight line meet two straight
lines , so as to make the two interior angles on the same side of it taken together
...
Σελίδα 8
The straight line AL is equal to BC . Wherefore from the given point A a straight
line AL has been drawn equal to the given straight line BC . Which was to be
done . • PROP . III . - - PROBLEM . From the greater of two given straight lines to
cut off ...
The straight line AL is equal to BC . Wherefore from the given point A a straight
line AL has been drawn equal to the given straight line BC . Which was to be
done . • PROP . III . - - PROBLEM . From the greater of two given straight lines to
cut off ...
Σελίδα 10
In BD take any point F , and from AE , the greater , cut off AG equal ( I . 3 . ) 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 ...
In BD take any point F , and from AE , the greater , cut off AG equal ( I . 3 . ) 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 ...
Σελίδα 11
Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB
is also equal to the side AČ . B . For if AB be not equal to AC , one of them is
greater than the other . Let AB be the greater , and from it cut off ( I . 3 . ) DB equal
to ...
Let ABC be a triangle having the angle ABC equal to the angle ACB ; the side AB
is also equal to the side AČ . B . For if AB be not equal to AC , one of them is
greater than the other . Let AB be the greater , and from it cut off ( I . 3 . ) DB equal
to ...
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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 |