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 6
Things which are double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . · VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space ...
Things which are double of the same , are equal to one another . VII . Things which are halves of the same , are equal to one another . · VIII . Magnitudes which coincide with one another , that is , which exactly fill the same space ...
Σελίδα 34
D A E DF B B с B C If the sides AD , DF , of the parallelograms ABCD , DBCF , opposite to the base BC be terminated in the same point D , it is plain that ( I. 34. ) 1 . Each of the parallelograms ABCD , DBCF , is double of the triangle ...
D A E DF B B с B C If the sides AD , DF , of the parallelograms ABCD , DBCF , opposite to the base BC be terminated in the same point D , it is plain that ( I. 34. ) 1 . Each of the parallelograms ABCD , DBCF , is double of the triangle ...
Σελίδα 38
If a parallelogram and a triangle be upon the same base , and between the same parallels , the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon 38 EUCLID'S ELEMENTS .
If a parallelogram and a triangle be upon the same base , and between the same parallels , the parallelogram shall be double of the triangle . Let the parallelogram ABCD and the triangle EBC be upon 38 EUCLID'S ELEMENTS .
Σελίδα 39
Let the parallelogram ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE ; the parallelogram ABCD is double of the triangle EBC . T с Join AC . Then ( I. 37. ) 1 . The triangle ABC is equal to ...
Let the parallelogram ABCD and the triangle EBC be upon the same base BC , and between the same parallels BC , AE ; the parallelogram ABCD is double of the triangle EBC . T с Join AC . Then ( I. 37. ) 1 . The triangle ABC is equal to ...
Σελίδα 40
The parallelogram FECG is double of the triangle AEC , because they are upon the same base EC , and between the same parallels EC , AG . Therefore ( Ax . 6. ) 4 . The parallelogram FECG is equal to the triangle ABC , and it has one of ...
The parallelogram FECG is double of the triangle AEC , because they are upon the same base EC , and between the same parallels EC , AG . Therefore ( Ax . 6. ) 4 . The parallelogram FECG is equal to the triangle ABC , and it has one of ...
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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 |