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" A circle is said to be described about a rectilineal figure, when the circumference of the circle passes through all the angular points of the figure about which it is described. VII. A straight line is said to be placed in a circle, when the extremities... "
The Elements of Euclid: viz. the first six books, together with the eleventh ... - Seite 93
von Robert Simson - 1835 - 513 Seiten
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 340 Seiten
...inscribed in a rectilineal figure, when the circumference of the circle touches each side of the figure. 6. A circle is said to be described about a rectilineal figure, when the circumference of the s, circle passes through all the angular points of the figure about which it is described. 7. A straight...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 Seiten
...in a rectilineal figure, when the circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal...points of the figure about which it is described. o VII. A straight line is said to be placed in a circle, when the extremities of it are in the circumference...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 288 Seiten
...circumference of the circle passes through all the angular points of the figure about which it is described. 7. A straight line is said to be placed in a circle,...extremities of it are in the circumference of the circle. 8. A regular angles. polygon has all its sides equal, and also all its 9. A polygon of five sides is...
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The Elements of Euclid with Many Additional Propositions and Explanatory Notes

Eucleides - 1860 - 396 Seiten
...circumference of the circle touches each side of the figure. 6. A circle is said to be circumscribed about a rectilineal figure, when the circumference...the angular points of the figure about which it is circumscribed. 7. A straight line is said to be placed in a circle, when its extremities are in the...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 Seiten
...touches each side of the figure ; Thus, the circle ABCD is inscribed in the quadrilateral EFGH. 6. A circle is said to be described about a rectilineal figure when the circumference of a circle touches each corner of the figure about which it is described ; Thus, the circle ABCD is described...
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The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862 - 172 Seiten
...a rectilineal figure, when the circumference of the circle touches each side of the figure. 03 VI. A circle is said to be described about a rectilineal...are in the circumference of the circle. PROP. I.— PROBLEM. /" a given circle to place a straight line equal to a given straight line which is not greater...
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Euclid's Elements of geometry, books i. ii. iii. iv

Euclides - 1862 - 140 Seiten
...inscribed in a rectilineal figure, when the circumference of the circle touches each side of the figure. 6. A circle is said to be described about a rectilineal...points of the figure about which it is described. 7. A straight line is said to be placed in a circle, when the extremities of it are in the circumference...
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The elements of plane geometry; or, The first six books of Euclid, ed. by W ...

Euclides - 1863 - 122 Seiten
...in a rectilineal figure, when the circumference of the circle touches each side of the figure. VI; A circle is said to be described about a rectilineal...circumference of the circle passes through all the y _ angular points of the figure about which it is described. .— VII. A straight line is said to...
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Euclid's Elements of geometry, the first four books, by R. Potts. Corrected ...

Euclides - 1864 - 262 Seiten
...in a rectilineal figure, when the circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal...extremities of it are in the circumference of the circle. PROPOSITION I. PROBLEM. In a given circle to place o straight line, equal to a given straight line...
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The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864 - 448 Seiten
...in a rectilineal figure, when the circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal...points of the figure about which it is described. VLL A straight line is said to be placed in a circle, when the extremities of it are in the circumference...
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