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 Βιβλία Βιβλία 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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 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 ABCD be a circle,... ## Geometry, Plane, Solid, and Spherical, in Six Books: To which is Added, in ...

Pierce Morton - 1830 - 272 σελίδες
...semi-circumference, that is, by a quadrant. Cor. 2. (Eue. iii. 31 second part of.) The angle, which is in a segment greater than a semicircle, is less than a right angle ; and the angle, which is in a segment less than a semicircle, is greater than a and let the diameters... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 σελίδες
...III. 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 ABCD be a circle,... ## Library of Useful Knowledge: Geometry, plane, solid, and spherical [by ...

1835
...semi-circum•ference, that is, by a quadrant. Cor. -2. (Eue. iii. 31. second part of.) The angle, which is in a segment greater than a semicircle, is less than a right angle ; and the angle, which is in a segment less than a semicircle, is greater than a • From the Latin... ## Mathematical Problems and Examples, Arranged According to Subjects, from the ...

1836 - 335 σελίδες
...right angles to the same plane. 3. In a circle the angle in a semicircle is a right angle, but 1829 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. If two triangles... ## A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - 1836 - 128 σελίδες
...right angles, (ART. 37,) ADC must be equal to one right angle. This, &c. [See NOTE Z.] ART. 73. The angle in a segment greater than a semicircle is less than a right angle. Let ABC be a segment greater than a semicircle. Then ADC is less than a right angle. DEM. Draw the... ## The Element of Geometry

John Playfair - 1836 - 114 σελίδες
...was to be done. PROP. XXII. THEOR. In a circle, the angles 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,... ## A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 σελίδες
...— DB. 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 than a semicircle is greater than a right angle. Steps of the Demonstration... ## Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 σελίδες
...in D. 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 than a semicircle is greater than a right angle. Let ABCD be a circle,... ## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...was to be done.PROP. XXXI. THEOR. In a circle, the angle in a semicircle is a right angle; tut 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,...