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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. "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 80
των John Playfair - 1837 - 318 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο

Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855 - 976 σελίδες
...and if it cuts it at right angles it shall bisect it. 7. The angle in a semicircle is a right angle ; the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. 8. To inscribe a circle in a given square. ALGEBRA. — (SECOND SECTION.) 1. Add together — (a +...

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

Euclides - 1855 - 270 σελίδες
...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 circle, of...

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

Cambridge univ, exam. papers - 1856 - 200 σελίδες
...angle at the circumference, upon the same base, that is, upon the same part of the circumference. 13. In a circle, the angle in a semicircle is a right...less than a semicircle is greater than a right angle. EUCLID (B). 1. DEFINE a line, a superficies, and the centre of a circle. 2. Upon the same base, and...

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

Cambridge univ, exam. papers - 1856 - 252 σελίδες
...the point of contact. 10. In a circle, the angle in a semicircle is a right angle; bu.t the angle iii a segment greater than a semicircle is less than a...less than a semicircle is greater than a right angle. 11. From a given circle to cut off a segment, which shall contain an angle equal to a given rectilineal...

Practical carpentry, joinery, and cabinet-making [by P. Nicholson. by P ...

Peter Nicholson - 1856 - 518 σελίδες
...two right angles. THEOREM 37. 94. An angle ABD, in a semi-circle, is a right angle ; an angle BAD, in a segment greater than a semi-circle, is less than a right angle ; and an angle, BED, in a segment less than a semi-circle, is greater than a right angle. Produce AB to F,...

The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 σελίδες
...in ADC and join AB, AE, AD, D C. The angle BAC is a right.angle ; the angle ABC in the segment ABC greater than a semicircle is less than a right angle ; and the angle ADC in the segment ADC less than a semicircle is greater than a right angle. Because EB is equal to...

The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - 1858 - 422 σελίδες
...right angle ; and an angle in a segment greater than the semicircle is less than a right angle ; and an angle in a segment less than a semicircle is greater than a right angle. If a straight line touch a circle, and from the point of contact a straight line be drawn cutting the...

Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 σελίδες
...are together equal to two right angles. 5. 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 Jess than a semicircle is greater than a right angle. 6. If from any point without a circle two straight...

A test-book for students; comprising sets of examination papers upon ...

Thomas Stantial - 1859 - 352 σελίδες
...is a right angle ; the angle in a segment less than a semicircle is greater than a right angle ; and the angle in a segment greater than a semicircle is less than a right angle. C. For the proof of this proposition what ascertained facts of circles are needed ? State also a corollary...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...equal to the arc DB. Therefore the given arc ADB is bisected in D. Q EF PROPOSITION XXXI. THEOREM. In a circle, the angle in a semicircle is a right...than a semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and center E. and let CA be drawn, dividing the circle...




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