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" 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 equal to two right angles. "
Elements of geometry, based on Euclid, books i-iii - Σελίδα 37
των Edward Atkins - 1876 - 119 σελίδες
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Robert Simson - 1806 - 548 σελίδες
...parallel to the given Book I. straight line BC. Which was to be done. i»» —i PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle...sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle,...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1806 - 320 σελίδες
...point A parallel to the Book I. given straight line BC. Which was to be done. " PROP. XXXII. THEOR; IF a side of any triangle be produced, the exterior /'...sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC ; and the three interior angles of the triangle,...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1813 - 714 σελίδες
...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....

The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814 - 560 σελίδες
...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 exterior angle...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...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 592 σελίδες
...*~^v~^ A parallel to the given straight line BC. Which was to * 27' 1. be done. PROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle...sides BC be produced to D; the exterior angle ACD is equal to the two interior and opposite angles CAB> ABC, and the three interior angles of the triangle,...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 σελίδες
...the given straight linp BC. Which was to be done. PROP. XXXII. THEOR. 'if a side of any triangle bf produced, the exterior angle is equal to the two interior...opposite angles ; and the three interior angles of everif triangle are equal to two right angles. Let ABC be a triangle, and let one of its sides BC be...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

John Mason Good - 1819 - 800 σελίδες
...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 exterior 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....

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1819 - 348 σελίδες
...given point A parallel to the given straight line BC. Which was to be done. PROP. xxxn. THEOR.. If a side of any triangle be produced, the exterior ang.Le is equal tojhe two interior and opposite angles ; and the three interior angles of every triangle are equal...

The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1821 - 514 σελίδες
...the given point A parallel to the gjiven straight line BC. Which was to be donePROP. XXXII. THEOR. IF a side of any triangle be produced, the exterior angle...three interior angles of every triangle are equal to twa right angles. Let ABCbeatriangle,andletoneof itssidesBCbeproducedto D; the exterior angle ACD is...

A Treatise on Practical Gauging

Anthony Nesbit, W. Little - 1822 - 916 σελίδες
...same side, are together equal to two right angles. (Eve. I. 29. Simp. I. 7- Em. I. 4 .) THEOREM IV. Let ABC be a triangle, and let one of its sides BC be produced to D ; the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC; also the three interior angles of every...




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