The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
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Σελίδα 2
An acute angle is that which is less than a right angle . XIII . 10 ' ' , ' is the extremity of any thing . " XIV . A figure is that which is inclosed by 2 EUCLID'S ELEMENTS . را ...
An acute angle is that which is less than a right angle . XIII . 10 ' ' , ' is the extremity of any thing . " XIV . A figure is that which is inclosed by 2 EUCLID'S ELEMENTS . را ...
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 ...
“ 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 ...
Σελίδα 8
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 a part equal to the less .
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 a part equal to the less .
Σελίδα 10
to AF , the less , and join FC , GB . Because ÅF 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 ...
to AF , the less , and join FC , GB . Because ÅF 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 ...
Σελίδα 11
A D B For if AB be not equal to 4C , one of them is greater than the other . Let AB be the greater , and from it cut off ( I. 3. ) DB equal to AC , the less , and join DC . Therefore because in the triangles DBC , ACB , DB is equal to ...
A D B For if AB be not equal to 4C , one of them is greater than the other . Let AB be the greater , and from it cut off ( I. 3. ) DB equal to AC , the less , and join DC . Therefore because in the triangles DBC , ACB , DB is equal to ...
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AB is equal ABC is equal ABCD angle ABC angle ACB angle AGH angle BAC angle BCD angle equal base BC bisected centre circle ABC circumference coincide common demonstrated describe diameter distance divided double draw equal angles exterior angle extremity fall figure four given circle given point given straight line gnomon 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 right angles segment semicircle shown side BC sides square of AC straight line AC Take touches the circle triangle ABC twice the rectangle wherefore whole
Πληροφορίες βιβλιογραφίας
| Τίτλος | The Synoptical Euclid; Being the First Four Books of Euclid's Elements of Geometry from the Edition of Dr. Robert Simson ... With Exercises. By S. A. Good ... Second Edition |
| Συγγραφείς | EUCLID., Samuel A. GOOD |
| Έκδοση | 2 |
| Εκδότης | Charles Henry Law, 1854 |
| Πρωτότυπο από | Η Βρετανική βιβλιοθήκη |
| Ψηφιοποιήθηκε στις | 10 Δεκ. 2013 |
| Μέγεθος | 120 σελίδες |
| Εξαγωγή αναφοράς | BiBTeX EndNote RefMan |