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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 Elements of Euclid, containing the first six books, with a selection of ... - Σελίδα 112
των Euclides - 1874
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## Designing valve gearing

Edward J C. Welch - 1875 - 240 σελίδες
...Elements, and stated in the enunciation to be, that "in a circle the angle in a semicircle is a rig/lit angle ; but the angle in a segment greater than a...than a semicircle is greater than a right angle," is the basis upon which the system, applied in the following pages, is directly founded : and it is... ## Elements of geometry, based on Euclid, books i-iii

Edward Atkins - 1876 - 130 σελίδες
...is a diameter (III. 1, cor.); Therefore the arc AD is equal to the arc DB. Therefore, the given arc is bisected in DQEF Proposition 31. — Theorem. In...than a semicircle is greater than a right angle. Let ABC be a circle, of which BC is a diameter, and E the centre; and draw CA, dividing the circle into... ## Examination Christmas,1875

Education Department,London - 1876 - 1010 σελίδες
...inscribed quadrilateral and the opposite exterior angle meet in the circumference. SECTION III. 1. In a circle, the angle in a semicircle is a right...less than a semicircle is greater than a right angle. The greatest rectangle that can be inscribed in a circle is a square. Divide a circle into two segments,... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1876 - 446 σελίδες
...the angle in a lemicircle i3 a right angle ; but the angle in a segment greater than a semicircle ii less than a right angle ; and the angle in a segment...than a semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter isBC, and center E, and let CA be drawn, dividing the circle... ## Annual Report

1876 - 710 σελίδες
...Give the algebraical equivalent of this proposition. 6. The angle in a semi-circle is a right angle, the angle in a segment greater than a semi-circle is less than a right angle, and in a segment less than a semi-circle it is greater than a right angle. Show how this follows from the... ## Modern geometry [ed.] with an appendix by W.B. Jack

Richard Wormell - 1876 - 268 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. Let А В be a diameter and А С a chord of a circle, ADBE ; then Л А С В in the semicircle AC... ## Report of Her Majesty's Civil Service Commissioners: Together with ..., Τόμος 21

1877 - 684 σελίδες
...points, and touching a given circle. 7. In any circle, the angle in a semicircle is a right angle, and the angle in a segment greater than a semicircle is...less than a semicircle is greater than a right angle. The sides of two acute-angled triangles inscribed in the same circle cannot intersect in fewer than... ## Mathematical Exercises ...: Examples in Pure Mathematics, Statics, Dynamics ...

Samuel H. Winter - 1877 - 452 σελίδες
...Prove by means of the equation to a circle that the angle in a semicircle is a right angle, and that the angle in a segment greater than a semicircle is less than a right angle. 13. Find the equation to the tangent of an ellipse; prove that from a given point two tangents can... ## The elements of plane geometry, from the Sansk. text of Ayra Bhatta, ed. by ...

Āryabhaṭa - 1878 - 100 σελίδες
...if the centre falls without the triangle, the angle opposite to the side beyond which it is, being in a segment less than a semicircle, is greater than a right angle (24. cor.}. Conversely, if the given trwngle le acute-angled, tht centre of the circle falls within... ## First Public Examination in Literis Graecis Et Latinis

University of Oxford - 1879 - 412 σελίδες
...rectangle contained by the whole and one of the parts may be equal to the square on the other part. 10. In a circle the angle in a semicircle is a right angle...less than a semicircle is greater than a right angle. 11. Inscribe an equilateral and equiangular hexagon in a given circle. 12. Equal triangles which have...