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 6.
Σελίδα 111
Let ABCDE be the given circle ; it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE . Describe ( IV . 10. ) an isosceles triangle FGH , having each of the angles at G , H , double of the angle at F ...
Let ABCDE be the given circle ; it is required to inscribe an equilateral and equiangular pentagon in the circle ABCDE . Describe ( IV . 10. ) an isosceles triangle FGH , having each of the angles at G , H , double of the angle at F ...
Σελίδα 112
The pentagon ABCDE is equilateral . It is also equiangular ; for , because the circumference AB is equal to the circumference DE ; if to each be added BCD , ( Ax . 2. ) 1 . The whole ABCD is equal to the whole EDCB : but the angle AED ...
The pentagon ABCDE is equilateral . It is also equiangular ; for , because the circumference AB is equal to the circumference DE ; if to each be added BCD , ( Ax . 2. ) 1 . The whole ABCD is equal to the whole EDCB : but the angle AED ...
Σελίδα 114
The pentagon GHKLM is equilateral . It is also equiangular ; for , since the angle FRC is equal to the angle FLC , and the angle HKL double of the angle FKC , and KLM double of FLC , as was before demonstrated , ( Ax . 6. ) 1 .
The pentagon GHKLM is equilateral . It is also equiangular ; for , since the angle FRC is equal to the angle FLC , and the angle HKL double of the angle FKC , and KLM double of FLC , as was before demonstrated , ( Ax . 6. ) 1 .
Σελίδα 115
Each of the straight lines AB , BC , CD , DE , EA , touches the circle ; wherefore it is inscribed in the pentagon ABCDE . Q.E.F. PROP . XIV . - PROBLEM . To describe a circle about a given equilateral and equiangular pentagon .
Each of the straight lines AB , BC , CD , DE , EA , touches the circle ; wherefore it is inscribed in the pentagon ABCDE . Q.E.F. PROP . XIV . - PROBLEM . To describe a circle about a given equilateral and equiangular pentagon .
Σελίδα 116
... and the circle described from the centre F , at the distance of one of them , shall pass through the extremities of the other four , and be described about the equilateral and equiangular pentagon ABCDE . Q.E.F. PROP . XV.
... and the circle described from the centre F , at the distance of one of them , shall pass through the extremities of the other four , and be described about the equilateral and equiangular pentagon ABCDE . Q.E.F. PROP . XV.
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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 |