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 8
AE is equal to AD ; but the straight line C is likewise equal to AD ( Constr . ) ; whence AE and C are each of them equal to AD ; wherefore ( Ax . 1. ) 2 . The straight line AE is equal to C , and from AB , the greater of two straight ...
AE is equal to AD ; but the straight line C is likewise equal to AD ( Constr . ) ; whence AE and C are each of them equal to AD ; wherefore ( Ax . 1. ) 2 . The straight line AE is equal to C , and from AB , the greater of two straight ...
Σελίδα 9
Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and bave likewise the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles ...
Therefore , if two triangles have two sides of the one equal to two sides of the other , each to each , and bave likewise the angles contained by those sides equal to one another , their bases shall likewise be equal , and the triangles ...
Σελίδα 11
... and on the same side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the other extremity .
... and on the same side of it , there cannot be two triangles that have their sides which are terminated in one extremity of the base equal to one another , and likewise those which are terminated in the other extremity .
Σελίδα 12
terminated in the extremity A of the base equal to one another , and likewise their sides CB , DB , that are terminated in B. E C A B A. B Join CD . Then , in the case in which the vertex of each of the triangles is without the other ...
terminated in the extremity A of the base equal to one another , and likewise their sides CB , DB , that are terminated in B. E C A B A. B Join CD . Then , in the case in which the vertex of each of the triangles is without the other ...
Σελίδα 13
... equal to one another , and likewise their sides terminated in the other extremity . ... therefore , if the base BC coincide with the base EF , the sides BA , AC , cannot but coincide with the sides ED , DF ; wherefore likewise 3 .
... equal to one another , and likewise their sides terminated in the other extremity . ... therefore , if the base BC coincide with the base EF , the sides BA , AC , cannot but coincide with the sides ED , DF ; wherefore likewise 3 .
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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 |