 If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles of every triangle are together equal to two right angles.  The Element of Geometry - Page 13by John Playfair - 1836 - 114 pagesFull view - About this book
 | William Honyman Gillespie - God - 1843 - 422 pages
...subjective mind. § 65. To illustrate this doctrine by an example taken from the science of magnitude. That the three interior angles of every triangle are equal to two right angles, is a truth which, if the demonstration has been followed, cannot but be believed, when the subject... | |
 | James Pycroft - Classical education - 1843 - 256 pages
...complicated nature, any more than the Moralist should suppose he can render it highly probable that the three interior angles of every triangle are equal to two right angles, or the Orator exhaust his powers of persuasion in trying to enlist the affections in favour of the... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...straight line equal to that which is described by eitner extremity of the base.* BOOK I. PKOP. XXXII.— If a side of any triangle be produced, the exterior angle is equal to the two interior and remote angles ; and the three interior angles of every triangle are together equal to two right angles.... | |
 | Euclides - 1845 - 546 pages
...been drawn a straight line EAF parallel to the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the Iwo interior and opposite angles; and Ihe three interior angles of every triangle are together equal... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
...Therefore, a str. line has been drawn through A || BC. EF || BC. Pt0ff ^ PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, the exterior...and the three interior angles of every triangle are together equal to two right angles. Let ABC be a ^, and the side BC be prod, to D. Then shall the ext.... | |
 | Great Britain. Admiralty - Geometry - 1846 - 128 pages
.../. ADC, EF || BC. Prop.2H. PROP. XXXI. THEOR. 32. 1 Eu. If a side of any triangle be produced, t/ie ex-terior angle is equal to the two interior and opposite...and the three interior angles of every triangle are together equal to two riffht angles. Let ABC be a ^\, and the side BC be prod, to D. Then shall the... | |
 | Dennis M'Curdy - Geometry - 1846 - 166 pages
...of a triangle be produced, the exterior angle (ACD) is equal to the two interior angles (A and B) ; and the three interior angles of every triangle are equal to two right angles. Argument. Through C draw CE parallel to AB (a). Then because AC meets the parallels AB, CE, the alternate... | |
 | London univ - 1846 - 326 pages
...2. Prove that any two sides of a triangle are together greater than a third side. 3. If a side of a triangle be produced, the exterior angle is equal to the two interior opposite angles, and the three interior angles of every triangle are equal to two right angles. Prove... | |
 | Euclides - 1847 - 128 pages
...whose base passes through D. Wherefore, of all triangles &c. — QED PROP. XXXII. THEOR. GEN. ENUN. — If a side of any triangle be produced, the exterior...the two interior and opposite angles ; and the three inte. rior angles of every triangle are equal to two right angles. PART. ENUN. — Let ABC be a A,... | |
 | Euclides - 1848 - 52 pages
...draw a straight line through a given point parallel to a given straight line. PROP. XXXII. THEOREM. If a side of any triangle be produced, the exterior...the two interior and opposite angles ; and the three ulterior angles of every triangle are together equal to two right angles. COR. 1. All the interior... | |
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