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 44
The figure ADEB is rectangular , and it has been demonstrated that it is equilateral ; therefore ( Def . 30. ) ... upon the side subtending the right angle , is equal to the squares described upon the sides which contain the right angle .
The figure ADEB is rectangular , and it has been demonstrated that it is equilateral ; therefore ( Def . 30. ) ... upon the side subtending the right angle , is equal to the squares described upon the sides which contain the right angle .
Σελίδα 47
I. Every right - angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which contain one of the right angles . II . In every parallelogram , any of the parallelograms about a diameter , together ...
I. Every right - angled parallelogram , or rectangle , is said to be contained by any two of the straight lines which contain one of the right angles . II . In every parallelogram , any of the parallelograms about a diameter , together ...
Σελίδα 48
4 , BC , is equal to the rectangle contained by 4 , BD , together with that contained by A , DE , and that contained by A , EC . B D E C G K LH F A From the point B draw ( I. 11. ) BF at right angles to BC , and make BG equal ( I. 3. ) ...
4 , BC , is equal to the rectangle contained by 4 , BD , together with that contained by A , DE , and that contained by A , EC . B D E C G K LH F A From the point B draw ( I. 11. ) BF at right angles to BC , and make BG equal ( I. 3. ) ...
Σελίδα 49
CF parallel to AD or BE ; then AE is equal to the rectangles AF , CE ; and AE is the square of AB ; and 1 . AF is the rectangle contained by BA , AC , for it is contained by DA , AC , of which AD is equal ( Def . 30. ) to 4B ; and 2 .
CF parallel to AD or BE ; then AE is equal to the rectangles AF , CE ; and AE is the square of AB ; and 1 . AF is the rectangle contained by BA , AC , for it is contained by DA , AC , of which AD is equal ( Def . 30. ) to 4B ; and 2 .
Σελίδα 50
Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC , CB , together with twice the rectangle contained by AC , CB . o B . . : مروان خبر G H K tries Ther , AC , CB D F E Upon AB ...
Let the straight line AB be divided into any two parts in C ; the square of AB is equal to the squares of AC , CB , together with twice the rectangle contained by AC , CB . o B . . : مروان خبر G H K tries Ther , AC , CB D F E Upon AB ...
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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 |