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" ... equal to the right angles in the others, and the angle at C forms the angle at the base to every one of the three triangles, that is, it is common to all the three ; and as all the angles of a plane triangle are together equal to two right angles... "
The Quadrature of the Circle: Correspondence Between an Eminent ... - Page xxii
by James Smith - 1861 - 200 pages
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Library of Useful Knowledge: Natural philosophy, Volume 3

1834 - 578 pages
...the base to every one of the three triangles, that is, it is common to all the three ; and as all the angles of a plane triangle are together equal to two right angles (Art. 5) the remaining or third angle must be equal in all the triangles ; for that angle is the complement...
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Outlines of The Evidences of Christianity: For the Use of the Syrian College ...

Daniel Wilson - Apologetics - 1847 - 456 pages
...nature, but from the nature of things. Such, for example, are the propositions that the three interior angles of a plane triangle are together equal to two right angles ; or that in a right angled triangle, the sum of the squares on the sides containing the the right...
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Christian Pamphlets, Volume 7

Baptists - 1852 - 1080 pages
...the base to every one of the three triangles, that is, it is common to all the three ; and as all the angles of a plane triangle are together equal to two right angles (Art. 5) the remaining or third angle must be equal in all the triangles ; for that angle is the complement...
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The Elements of Plane and Spherical Trigonometry

John Hind - Trigonometry - 1855 - 540 pages
...'=180°-4401б'=135044'; and the supplement of 173°3'13".81 = 180°- 173° 3' 13".81 = 6° 56' 46". 19. Since all the angles of a plane triangle are together equal to two right angles, it follows that each of the angles of every triangle is the supplement of the sum of the two others....
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The geometry of the circle and mathematics as applied to geometry by ...

James Smith - Mathematics - 1869 - 492 pages
...himself, and Mathematics—as applied by Mathematicians—at fault, may be made as manifest to you, as that the three angles of a plane triangle are together equal to two right angles. In furnishing you with the proofs, I, as an old Life Member of the British Association, shall have...
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The Geometry of the Circle and Mathematics as Applied to Geometry by ...

James Smith - Circle-squaring - 1869 - 459 pages
...himself, and Mathematics — as applied by Mathematicians — at fault, may be made as manifest to you, as that the three angles of a plane triangle are together equal to two right angles. In furnishing you with the proofs, I, as an old Life Member of the British Association, shall have...
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The ratio between diameter and circumference in a circle demonstrated by ...

James Smith - 1870 - 634 pages
...isosceles triangle DA C. It follows, that AB : AC : : 3 : 5. F,Q. s. No Mathematician will dispute, that the three angles of a plane triangle are together equal to two right angles. Well, then, may I ask you to kindly favour me by finding the values of the angles in the triangles...
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Psychology: Or, The Science of Mind

Oliver Spencer Munsell - History - 1871 - 360 pages
...most absolute certitude. I no more doubt, for instance, that man is s mortal, than I do that all the angles of a plane triangle are together equal to two right angles ; yet, to deny the last were absurd, to deny the first were simply to falsify known facts. In other...
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Psychology: Or, The Science of Mind

Oliver Spencer Munsell - History - 1871 - 368 pages
...most absolute certitude. I no more doubt, for instance, that man is mortal, than I do that all the angles of a plane triangle are together equal to two right angles ; yet, to deny the last were absurd, to deny the first were simply to falsify known facts. In other...
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The elements of deductive logic

Thomas Fowler - Logic - 1875 - 342 pages
...angles is equal to twice as many right angles as the figure has sides, minus four right angles. Thus the angles of a plane triangle are together equal to two right angles, those of a quadrilateral to four, those of a pentagon to six, and so on. It is also a property of a...
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