 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 99by John Radford Young - 1827 - 208 pagesFull view - About this book
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Charles William Hackley - Geometry - 1847 - 248 pages
...common with the circle, is a tangent (def. 56). THEOREM XXXVII. When a line is a tangent to a circle, a radius drawn to the point of contact is perpendicular to the tangent. For if oblique, a line shorter can be drawn perpendicular to the tangent, and the tangent must then... | |
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