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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Αποτελέσματα 1 - 5 από τα 5.
Σελίδα 47
In every parallelogram , any of the parallelograms about a diameter , together with the two complements , is called a gnomon . A E D HF K B G “ Thus the parallelogram HG , together with the complements AF , FC , is the gnomon , which is ...
In every parallelogram , any of the parallelograms about a diameter , together with the two complements , is called a gnomon . A E D HF K B G “ Thus the parallelogram HG , together with the complements AF , FC , is the gnomon , which is ...
Σελίδα 52
to DB ; and DF , together with CH , is the gnomon CMG ; therefore 4 . The gnomon CMG is equal to the rectangle AD , DB : to each of these add LG , which is equal ( II . 4. Cor . ) to the square of CD ; therefore 5 .
to DB ; and DF , together with CH , is the gnomon CMG ; therefore 4 . The gnomon CMG is equal to the rectangle AD , DB : to each of these add LG , which is equal ( II . 4. Cor . ) to the square of CD ; therefore 5 .
Σελίδα 53
The rectangle AD , DB , together with the square of CB , is equal to the gnomon CMG and the figure LG . But the gnomon CMG and LG make up the whole figure CEFD , which is the square of CD ; therefore 6 . The rectangle AD , DB , together ...
The rectangle AD , DB , together with the square of CB , is equal to the gnomon CMG and the figure LG . But the gnomon CMG and LG make up the whole figure CEFD , which is the square of CD ; therefore 6 . The rectangle AD , DB , together ...
Σελίδα 54
but the gnomon AKF , together with the squares CK , HF , make up the whole figure ADEB and CK , which are the squares of AB and BC ; therefore 7 . The squares of AB and BC are equal to twice the rectangle AB , BC , together with the ...
but the gnomon AKF , together with the squares CK , HF , make up the whole figure ADEB and CK , which are the squares of AB and BC ; therefore 7 . The squares of AB and BC are equal to twice the rectangle AB , BC , together with the ...
Σελίδα 55
The eight rectangles which contain the gnomon AOH , are quadruple of AK : and because AK is the rectangle contained by AB , BC , for BK is equal to BC , therefore 11 . Four times the rectangle AB , BC , is quadruple of AK ; but the ...
The eight rectangles which contain the gnomon AOH , are quadruple of AK : and because AK is the rectangle contained by AB , BC , for BK is equal to BC , therefore 11 . Four times the rectangle AB , BC , is quadruple of AK ; but the ...
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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 |