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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. 7. A straight line is said to be placed in a circle, when the extremities... "
Elements of Plane Geometry According to Euclid - Σελίδα 80
των Andrew Bell - 1837 - 240 σελίδες
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 546 σελίδες
...circumference of the circle touches each side of the figure. Vl. A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. VII. A straight line is said to be placed in a circle, tvhen the extremities of it are in the circumference...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1835 - 336 σελίδες
...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...points of the figure about which it is described. 7. Polygons of five sides are called pentagons ; those of six sides, hexagons ; those of seven sides,...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 540 σελίδες
...of the circle touches each side of the figure. VI. Book IV. A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. VII. A straight line is said to be placed in a circle, when the extremities of it are in the circumference...

The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 488 σελίδες
...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...extremities of it are in the circumference of the circle. BOOK v. — DEFINITIONS. 1. A less magnitude is said to be a part of a greater magnitude, when the...

Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 332 σελίδες
...arc is the straight line which joins its two extremities. C. A straight line is said to be inscribed in a circle, when the extremities of it are in the circumference of the circle. And any straight line which meets the circle in two points, is called a secant. 62 6. An angle in a...

The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 σελίδες
...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,...extremities of it are in the circumference of the circle. PROP. I. PROS. IN a given circle to place a straight line, equal to a given straight line not greater...

Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 σελίδες
...circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. VII. A straight line is said to be placed in a circle, when the extremities of it are in the circumference...

Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 192 σελίδες
...the circle touches each side of the figure. 6. A circle is said to be described about a rectilinear figure, when the circumference of the circle passes...straight line is said to be placed in a circle when both its extremities are in the circumference of the circle. PROP. I. PROB. In a given circle (BDC)...

The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...circumference of the circle touches each side of the figure. VI. A circle is said to be described about a rectilineal figure, when the circumference of the...points of the figure about which it is described. VII. A straight line is said to be placed in a circle, when the extremities of it are in the circumference...

Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 316 σελίδες
...circle touches each side of the figure. VI. A circle is said to be described about a reeti- , lineal figure, when the circumference of the circle passes...points of the figure about which it is described. 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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