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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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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861
...Euclid's Geometry. РROP. 31. — 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. COTS. 10, I. Psts....

Report on the examination for admission to the Royal military academy at ...

Woolwich roy. military acad - 1861
...fourth converging fraction to VJI . • 7. 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. If two chords AB,...

Examination papers used at the examination of candidates for appointment to ...

War office - 1861
...fall upon it from the opposite angle. 3. Show that 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. 4. Define similar...

The school Euclid: comprising the first four books, by A.K. Isbister

Euclides - 1862
...bIsected in D. 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. (References — Prop....

Liber Cantabrigiensis: An Account of the Aids Afforded to Poor ..., Τόμος 2

Robert Potts - 1863
...parallel to two sides of AB CD. 4. 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. The circumferences...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

Euclides - 1864
...in DQEF PROPOSITION XXXI. THEOREM. In a circle, the angle in a semicircte 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,...

Guide to the Civil service

Henry White - 1864
...which shall touch a given circle. 7. 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. • ALGEBRA. Set to...

First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - 1865 - 169 σελίδες
...bisect it. Prop. 31. — 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. EUCLID, BOOK VI. Prop....

The College Euclid: Comprising the First Six and the Parts of the Eleventh ...

Euclides - 1865
...D. QEF 117 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. (References— Prop....

Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1866
...it on the inside or outside. 9. Prove that the angle in a semicircle is a right angle ; but that 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. ., 40 PROBLEMS. 10....




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