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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 52
των Robert Gibson - 1814 - 508 σελίδες
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A Manual of Surveying for India, Detailing the Mode of Operations on the ...

Ralph Smyth, Sir Henry Edward Landor Thuillier - 1851 - 828 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...measured by half the arc 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...

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...

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...

Five Years in an English University, Τόμος 2

Charles Astor Bristed - 1852
...same part of the circumference. 5. 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. If a straight...

The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 176 σελίδες
.... . PROPOSITION 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 tJian a semicircle is greater than a right angle. LET abcd be a circle,...

The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...be done. PROPOSITION XXXI. THEOU. 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 ABCD be a circle,...

The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 σελίδες
...be done. 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. Let ABCD be a circle,...

Elements of geometry and mensuration

Thomas Lund - 1854 - 192 σελίδες
...them must be a right angle. 54. PROP. VI. The 'angle in a segment' equal to a semi-circle is a right angle ; in a segment greater than a semi-circle is less than a right angle ; and in a segment less than a semi-circle is greater than a right angle. Let ABCD be a circle of which...

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...trisection of an angle. PROP. XXXI. THEOREM. 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 anyle in a segment less than a semicircle is greater than a right angle. Let AB СD be a...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...same part of the circumference. 13. 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. EUCLID (B). 1. DEFINE...




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