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" The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. "
The Theory and Practice of Surveying: Containing All the Instructions ... - Σελίδα 58
των Robert Gibson - 1821 - 544 σελίδες
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...equal parts. PROP. XXXI. THEOREM. In a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. PROP. XXXII. THEOREM....

Report of the Committee of Council on Education (England and Wales ..., Τεύχος 1

Great Britain. Council on Education - 1848 - 532 σελίδες
...parallelogram is double of the triansle. 3. In a circle, the angle in a semicircle is a right anile; but the angle in a segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. 4. To describe a circle...

Minutes of the Committee of Council on Education: with Appendices, Τόμος 1

Great Britain. Committee on Education - 1848 - 514 σελίδες
...the sides of the parallelogram. 3. In a circle, the angle in a semicircle is a right anirlo ; but the angle in a segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle. 4. To describe a circle...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...was to be done. PROP. XXXI. THEOR. In a circle, the angle in a semicircle is a right angle ; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. Let A BCD be a....

The English Journal of Education, Τόμος 4

1850 - 488 σελίδες
...Mention the corollary to this theorem. 2. In a circle, the angle in a semicircle is a right angle; but an angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 3. Similar triangles...

The Calendar of King's College, London

1850 - 400 σελίδες
...centre are equal to each other. • ,. In a circle, the angle in a semicircle is a right angle; but the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. 6. To describe an...

Reports on Elementary schools

Her MAjesty' Inspectors of schools - 1850 - 912 σελίδες
...triangle is bisected by tbe straight Uac 4 from the vertex bisecting the base of the triangle. 7. The angle in a segment greater than a semicircle is less than a right angle — 1 it ; and find the atea of a segment of a circle containing 60°, whose radiui it 10 8. The two...

A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Sir Henry Edward Landor Thuillier - 1851 - 826 σελίδες
...each other or they are all measured by hp1P the arc they stand on, viz. by half the arc AB. Cor. 3. An angle in a segment greater than a semicircle is...AB, but as the arc AB is less than a semi-circle, the arc AB or the angle ADB is less than half a semicircle, and consequently less than a right angle....

Papers for the schoolmaster, Τόμοι 1-6

582 σελίδες
...the angle in a segment of a circle. Prove that the angle in a semicircle is a right angle, whilst the angle in a, segment greater than a semicircle is less than a right angle, and the angle in a segment less than a semicircle is greater than a right angle, H>. Inscribe .1 circle...

A Collection of Problems and Examples Adapted to the "Elementary Course of ...

Harvey Goodwin - 1851 - 196 σελίδες
...to the square, find the other side. 3. In a circle, the angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is less than a right angle ; and the angle in a segment less than a semicircle is greater than a right angle. The greatest rectangle...




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