 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 - Σελίδα 13των John Playfair - 1836 - 114 σελίδεςΠλήρης προβολή - Σχετικά με αυτό το βιβλίο
 | Robert Simson - 1762 - 488 σελίδες
...parallel to the given ftraight line BC. Book I. Which was to be done. PROP. XXXII. THEO R. TF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle are ec(ual to two right angles. Let... | |
 | 1867 - 878 σελίδες
...connected with our present subject. Euclid has proved, in the 32nd Proposition of his First BccV. that the three interior angles of every triangle are equal to two right angles, that is, to 180°. Let the hear this fact in mind. Hence it follows that if the of any two angles of... | |
 | Euclid - 1781 - 552 σελίδες
...to the given Book I. ftraight line BC. Which was to be done. b 29. 1. PROP. XXXII. THEOR. TF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle are equal to two right angles. Let... | |
 | Proclus (Diadochus.) - 1788 - 350 σελίδες
...under fome general* klea, of which we pofleis a previous knowledge : thus, he who already knows that the three interior angles of) every triangle are equal to two right, and' is as yet ignorant that fome particular figure delineated on paper is- a triangle, isv no fooner... | |
 | Alexander Ingram - 1799 - 374 σελίδες
...point A parallel to the given flraight line BC. Which was to be done. PROP. XX.XIL THEOR. IF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppoiite angles ; and the three interior angles of every triangle are equal to two right angles. Let... | |
 | Robert Simson - 1804 - 530 σελίδες
...parallel to the given ftraight line Book 1. BC. Which was to be done. ^ -y PROP. XXXII. THE OR. IF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle are equal to two right angles. Let... | |
 | John Playfair, Euclid - 1804 - 468 σελίδες
...parallel to the Book *• given ftraight line BC. Which Was to be done. PROP. XXXII. THE OR. IF a fide of any triangle be produced, the exterior angle is equal to the two interior and oppofite angles ; and the three interior angles of every triangle are equal to two right angles. Let... | |
 | John Mason Good - 1813 - 714 σελίδες
...Prob. To draw a straight line thruu0h a given point parallel to a given straight line. Prop. XXXII. Theor- If a side of any triangle be produced, the...exterior angle is equal to the two interior and opposite ansies: and the three interior angles of every triangle are equal to tiro right angles. Prop. XXXIII.... | |
 | Euclides - 1814 - 560 σελίδες
...given point b v ^. v ^ A parallel to the given straight line BC. Which was to be done. • PROP. XXXII. THEOR. IF a side of any triangle be produced, the...the two interior and opposite angles ; and the three inferior angles of every triangle are equal to two right angles. Let ABC be a triangle, and let one... | |
 | John Mason Good - 1819 - 800 σελίδες
...Prob. To draw a straight line through a given tioint parallel to a given straight line. Prop. XXXII. Theor. If a side of any triangle be produced, the...angle is equal to the two interior and opposite angles : anil the three interior angles of every triaugie are equal to two riyht angles. Prop. XXXIII. Theor.... | |
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