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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 ## Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838 - 264 σελίδες
...Which 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...than a semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and centre E : and draw CA, dividing the circle into... ## The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1838 - 434 σελίδες
...DC ; the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC, which is less than a semicircle, is greater than a right angle. Join AE, and produce... ## Euclid's Elements of plane geometry [book 1-6] with explanatory appendix ...

Euclides - 1840 - 194 σελίδες
...Z. ABD is less than a right angle a Prop. 32). But L ABD=Z. AFD (m. Prop. 2i) ; therefore Z. AFD or the angle in a segment greater than a semicircle is...less than a right angle. And the angle in a segment AGD less than a semicircle, is greater than a right angle. For take any point G in the segment, and... ## The figures of Euclid with the enunciations, as printed in Euclid's Elements ...

Euclides - 1840 - 82 σελίδες
...angle in a semicircle is a right angle; the angle in a segment greater than a semicircle, is an acute angle; and the angle in a segment less than a semicircle, is an obtuse angle. PROP. XXXII. THEOR. If a straight line touches a circle, and from the point of contact... ## The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 378 σελίδες
...Which was to be done. PROP. XXXI. THEOR. In, a circle, the angle in a semicircle is a rig hi angle; the angle in a segment greater than a semicircle is...than a semicircle is greater than a right angle. Let ABCD be a circle, of which the diameter is BC, and centre E; and draw CA, dividing the circle into... ## Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 332 σελίδες
...DC ; the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is greater than a semicircle, is less than a right angle ; and the angle in the segment ADC. which is less than a semicircle, is greater than a right angle. Join AE, and produce... ## Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842 - 320 σελίδες
...AD, DC: the angle in the semicircle BAC is a right angle ; and the angle in the segment ABC, which is greater than a semicircle, is less than a right angle; and the angle in the segment ADC, which is less than a semicircle, is greater than a right angle. Join A, E, and produce... ## Cambridge problems proposed by the moderators to the candidates for ..., Τόμος 2

Cambridge univ, exam. papers - 1843 - 50 σελίδες
...equal to one another, and the diameter bisects them, that is, divides them into two equal parts. 2. In a circle the angle in a semi-circle is a right...than a semi-circle is greater than a right angle. 3. What sum must be invested in the 3 per cent, stock at 94J, to yield an annual income of £500 ?... ## Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 544 σελίδες
...equal to the circumference DB. Therefore the given circumference is bisected in DQEF PROPOSITION XXXI. THEOREM. In a circle, the angle in a semicircle is...a segment greater than a semicircle is less than a rig/it angle; and \he angle in a segment less than a semicircle is greater than a right angle. Let... ## A system of practical mathematics; being no.xvi. of a new series of school-books

Scottish school-book assoc - 1845 - 434 σελίδες
...to AB. PROPOSITION LII. — THEOREM. An angle ADB in a semicircle is a right angle, and an angle DBA in a segment greater than a semicircle is less than a right angle, and an angle AED in a segment less than a semicircle is greater than a right angle. and v DC=CB, the ZCBD...