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 Βιβλία Βιβλία F, which is the common vertex of the triangles ; that is, together with four right angles. Therefore all the angles of the figure, together with four right angles, are equal to twice as many right angles as the figure has sides. The First Six Books: Together with the Eleventh and Twelfth - Σελίδα 38
των Euclid - 1781 - 520 σελίδες
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## The Popular Educator, Τόμος 5

1856 - 428 σελίδες
...angles of all the triangles thus formed are equal to all the angles of the figure (Const.) ; therefore all the angles of the figure, together with four right...equal to twice as many right angles as the figure nas sides (Лх. 1). QED The demonstration of Euclid's Cor. II. viz. "that all the pxterior angles... ## Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 200 σελίδες
...also without construction, by superposition. 3. Prove that all the internal angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides; and that all the external angles are together equal to four right angles. In what sense are... ## Elementary text book for young surveyors and levellers

Henry James Castle - 1856 - 220 σελίδες
...that these angles are the exterior angles of an irregular polygon ; and as the sum of all the interior angles are equal to twice as many right angles, as the figure has sides, wanting four ; and as the sum of all the exterior, together with all the interior angles, are... ## The Educational record, with the proceedings at large of the ..., Τόμοι 3-4

British and foreign school society - 1857 - 548 σελίδες
...produced to meet the alternate sides, also produced, the angles formed by these lines, together with eight right angles, are equal to twice as many right angles as the polygon has sides. 4. If two chords intersect in a circle, the difference of their squares is equal... ## The English Journal of Education, Τόμοι 11-13

1857 - 1266 σελίδες
...produced to meet the alternate sides, also produced, the angles formed by these lines, together with eight right angles are equal to twice as many right angles as the polygon has sides. 4. If two chords intersect in a circle, the difference of their squares is equal... ## Elements of Geometry and Conic Sections

Elias Loomis - 1858 - 256 σελίδες
...F, that is, together with four right angles (Prop. V., Cor. 2). Therefore the angles of the polygon are equal to twice as many right angles as the figure has sides, wanting four right angles. Cor. 1. The sum of the angles of a quadrilateral is four right angles... ## Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - 1860 - 380 σελίδες
...angles of the triangles are equal to twice as many right angles as the figure has sides ; therefore all the angles of the figure together with four right...equal to twice as many right angles as the figure has sides. COE. 2. All the exterior angles of any rectilineal figure, made by producing the sides successively... ## The examination papers as set for the preliminary literary examination of ...

Royal college of surgeons of England - 1860 - 336 σελίδες
...angles of a triangle are together equal to two right angles ; and all the angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides. 6. The opposite sides and angles of parallelograms are equal to one another, and the diameter... ## Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860 - 142 σελίδες
...wherefore the salient angles F, G, H, T, K, with twice the angles m, n, «, e, w, that is, with eight right angles, are equal to twice as many right angles as the figure has sides. COR. — The salient angles with four right angles, are equal to the interior angles of the... ## The Mathematical Monthly, Τόμος 2

John Daniel Runkle - 1860 - 460 σελίδες
...figure must be aliquot parts of the circle or of four right angles. All the angles of any such figure are equal to twice as many right angles as the figure has sides minus four right angles, or if « be the number of sides, the sum of all the angles is (2 n —...