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" An angle formed by a tangent and a chord is measured by onehalf the intercepted arc. "
Mathematics, mechanics, heat - Σελίδα 46
των American School (Chicago, Ill.) - 1903
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Public Documents of Massachusetts, Τόμος 9

Massachusetts - 1899 - 1234 σελίδες
...that in any triangle the greater angle lies opposite the greater side. 4. Prove that the angle between a tangent and a chord is measured by one-half the intercepted arc. 5. Construct a tangent to a circle from a given point without the circle. Explain construction fully....

Iconographic Encyclopaedia of Science, Literature, and Art, Τόμος 1

Johann Georg Heck - 1851 - 712 σελίδες
...is half the angle at the centre of the same arc, and is therefore measured by the half of its arc. An angle formed by a tangent and a chord is measured by half the arc included between the tangent and the chord (fig. 73). Inscribed angles resting upon the...

Young Scientist: A Practical Journal for Amateurs, Τόμος 1

1851 - 716 σελίδες
...is half the angle at the centre of the same arc, and is therefore measured by the half of its arc. An angle formed by a tangent and a chord is measured by half the arc included between the tangent and the chord (fig. 73). Inscribed angles resting upon the...

Iconographic Encyclopaedia of Science, Literature & Art, Τόμος 1

Johann Georg Heck - 1860 - 332 σελίδες
...is half the angle at the centre of the same arc, and is therefore measured by the half of its arc. An angle formed by a tangent and a chord is measured by half the arc included between the tangent and the chord (fig. 73), Inscribed angles resting upon the...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1871 - 380 σελίδες
...circumference, which is the measure of two right angles, (54) and (I. 19). PROPOSITION XXII.— THEOREM. 62. An angle formed by a tangent and a chord is measured by onehalf the intercepted arc. Let the angle BAC be formed by the tangent AB and the chord AC; then, it is measured by one-half the intercepted...

A Treatise on Elementary Geometry: With Appendices Containing a Collection ...

William Chauvenet - 1872 - 382 σελίδες
...circumference, which is the measure of two right angles, (54) and (I. 19). PROPOSITION XXII.— THEOREM. 62. An angle formed by a tangent and a chord is measured by onehalf the intercepted arc. Let the angle BAC be formed by the tangent AB and the chord AC; then, it is measured by one-half the intercepted...

Annual Report of the Superintendent of Public Instruction of the ..., Τεύχος 25

Wisconsin. Department of Public Instruction - 1873 - 458 σελίδες
...Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem. — The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained? 2. Explain the principle of...

Annual Report of the Superintendent Of...

1873 - 444 σελίδες
...Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem.—The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained? 2. Explain the principle of...

Surveying and Navigation, with a Preliminary Treatise on Trigonometry and ...

Aaron Schuyler - 1864 - 512 σελίδες
...or in the corresponding angle at the center, be equal to d, the degree of curvature. The angle ABp, formed by a tangent and a chord, is measured by one.half the arc Bp, and is therefore equal to id. Each of the inscribed angles, pBq, qBr, is measured by one.half...

Appendix to the Assembly Journal, Τόμος 1

Wisconsin - 1874 - 1050 σελίδες
...Parallelograms on equal bases, and between the same parallels, are equal in area. 10. Theorem.— The angle formed by a tangent and a chord is measured by one-half the intercepted arc. NATURAL PHILOSOPHY. 1. Define specific gravity; how is it ascertained? 2. Explain the principle of...




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