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" And since a radius drawn to the point of contact is perpendicular to the tangent, it follows that the angle included by two tangents, drawn from the same point, is bisected by a line drawn from the centre of the circle to that point ; for this line forms... "
Elements of Geometry: With Notes - Page 105
by John Radford Young - 1827 - 208 pages
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...circle, and meets it in the point D only. THEOREM THEOREM XLVII. WHEN- a Line is a Tangent to a Circle, a Radius drawn to the Point of Contact is Perpendicular to the Tangent. Let the line AB touch the circumference of a circle at the point D ; then will the radius CD be perpendicular...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...the circle, and meets it in the point D only. THEOREM XLVIJ. WHEN a Line is a Tangent to a Circle, a Radius drawn to the Point of Contact is Perpendicular to the Tangent. Let the line AB touch the circumference of a circle at the point D ; then will the radius CD be perpendicular...
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Elements of Geometry: Being Chiefly a Selection from Playfair's Geometry

John Playfair - Geometry - 1829 - 210 pages
...extremity of a radius or a diameter is a tangent to the circle. If a straight line touch a circle, a radius drawn to the point of contact is perpendicular to the tangent. An angle at the centre of a circle is double of an angle at the circumference, standing on the same...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1835 - 336 pages
...circle. COR. 2. It follows, moreover, that two tangents drawn from the same point are equal. COR. 3. And since a radius drawn to the point of contact is...the circle to that point ; for this; line forms the hypotenuse common to two equal right angled triangles. PROP. XXXIII. THEOR. If from a point without...
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Euclid's Elements - 1836 - 172 pages
...called a Tangent to that circle. [See NOTE V.] ART. 56. If a right line be a tangent to a circle, the radius drawn to the point of contact is perpendicular to the tangent. Let BDE be a circle, BA a tangent to it, and CB a radius drawn to the point of contact B. Then CB is...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Euclid's Elements - 1837 - 332 pages
...circle. COR. 2. It follows, moreover, that two tangents drawn from the same point are equal. COR. 3. And since a radius drawn to the point of contact is...the circle to that point ; for this line forms the hypotenuse common to two equal right angled triangles. PROP. XXXVII. THEOR. If from a point without...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1842 - 332 pages
...circle. COR. 2. It follows, moreover, that two tangents drawn from the same point are equal. COR. 3. And since a radius drawn to the point of contact is...tangents, drawn from the same point, is bisected by a'line drawn from the centre of the circle to that point ; for this line forms the hypotenuse common...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...circle. COR. 2. It follows, moreover, that two tangents drawn from the same point are equal. Cos.. 3. And since a radius drawn to the point of contact is...the circle to that point ; for this line forms the hypotenuse common to two equal right angled triangles. PROP. XXXVII. THEOR. If from a point icithout...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Euclid's Elements - 1847 - 340 pages
...circle. COR. 2. It follows, moreover, that two tangents drawn from the same point are equal. COR. 3. And since a radius drawn to the point of contact is perpendicular to the tangent, it f611ows that the angle included by two tangents, drawn from the same point, is bisected by a line drawn...
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Elements of Geometry: With Practical Applications ...

George Roberts Perkins - Geometry - 1847 - 326 pages
...therefore tangent to it. PROPOSITION VI. THEOREM. When a line is tangent to the circumference of a circle, a radius drawn to the point of contact is perpendicular to the tangent. Let the line AB be tangent to the circumference of a circle at the A point D ; then will the radius...
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