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 3
A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter .
A diameter of a circle is a straight line drawn through the centre , and terminated both ways by the circumference . XVIII . A semicircle is the figure contained by a diameter and the part of the circumference cut off by the diameter .
Σελίδα 33
The opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them , that is , divides them into two equal parts . N.B. - A parallelogram is a four - sided figure , of which the opposite sides are ...
The opposite sides and angles of parallelograms are equal to one another , and the diameter bisects them , that is , divides them into two equal parts . N.B. - A parallelogram is a four - sided figure , of which the opposite sides are ...
Σελίδα 34
Also , their diameter bisects them ; for XB being equal to CD , and BC common , the two AB , BC , are equal to the two DC , CB , each to each ; and the angle ABC has been proved equal to the angle BCD ) ; therefore ( I. 4. ) 5 .
Also , their diameter bisects them ; for XB being equal to CD , and BC common , the two AB , BC , are equal to the two DC , CB , each to each ; and the angle ABC has been proved equal to the angle BCD ) ; therefore ( I. 4. ) 5 .
Σελίδα 36
The triangle ABC is the half of the parallelogram EBCA , because the diameter AB bisects it ; and 4 . The triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it . But the halves of equal things are equal ...
The triangle ABC is the half of the parallelogram EBCA , because the diameter AB bisects it ; and 4 . The triangle DBC is the half of the parallelogram DBCF , because the diameter DC bisects it . But the halves of equal things are equal ...
Σελίδα 37
The triangle ABC is the half of the parallelogram GBCA , because the diameter AB bisects it ; and 4 . The triangle DEF is the half of the parallelogram DEH , because the diameter DF bisects ...
The triangle ABC is the half of the parallelogram GBCA , because the diameter AB bisects it ; and 4 . The triangle DEF is the half of the parallelogram DEH , because the diameter DF bisects ...
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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 |