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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. "
The school Euclid: comprising the first four books, by A.K. Isbister - Σελίδα 35
των Euclides - 1862
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Euclid's plane geometry, practically applied; book i, with explanatory notes ...

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...afterwards be taken for granted. For instance, when we have once established the truth, that " the interior angles of every triangle are together equal to two right angles," and we afierwards come to a proposition in the demonstration of which we need this established truth,...

Responsions

University of Oxford - 1863
...greater angle shall be greater than the base of the other. 5. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles j and the three interior angles of every triangle are together equal to two right angles. Add and prove...

The school edition. Euclid's Elements of geometry, the first six books, by R ...

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...the given straight line BC. QEF PROPOSITION XXXII. THEOREM. If a side of any triangle be produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. Let A BC be a triangle, and let one of its sides B Cbe produced to D. Then the exterior angle A CD...

Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson ...

Robert Potts - 1865 - 528 σελίδες
...to the given straight line B CQEF PROPOSITION XXXII. THEOREM. lf a side of any triangle be produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. Let AB C be a triangle, and let one of its sides BC be produced to D. Then the exterior angle A CD...

First Practical Lines of Geometrical Drawing ...

J. F. H. de Rheims - 1865 - 169 σελίδες
...together equal to two right angles. Prop. 32. — Theorem. If one side of any triangle be produced, the exterior angle is equal to the two interior and...and the three interior angles of every triangle are equal to two right angles. Prop. 34. — Theorem. The opposite sides and angles of parallelograms are...

An Introduction to Plane and Spherical Trigonometry

Alfred Challice Johnson - 1865 - 166 σελίδες
...makes the alternate angles equal to one another. (Eue. I., 29.) 6. If a side of a triangle he produced, the exterior angle is equal to the two interior and opposite angles; and the three interior angles are equal to two right angles, or 180°. (Eue. L, 32.)* 7. The square upon the hypolheneuse of a right-angled...

Half-hour examination papers, for daily use

John Robertson (LL.D., of Upton Park sch.) - 1865 - 144 σελίδες
...segment. [ECS] 43. If the 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 together equal to two right angles. [ECS] EXAMINATION PAPER. MONDAY. Divinity. 90. S. Mark xii. 37. Explain how CHEIST was both David's...

Elements of plane geometry, book i, containing nearly the same propositions ...

Euclides - 1865
...time equal to the two angles ADB and ADC, which are (5) together equal to two right angles ; wherefore the three interior angles of every triangle are together equal to two right angles. Cor. 1. If two angles of one triangle be equal to two angles of another, the triangles are equiangular....

The Cambridge Examiner, Τόμος 1

1881
...the following : At a given point in a given straight line to make an angle equal to a given angle. 3. The three interior angles of every triangle are together equal to two right angles. Of how many degrees are the angles of a regular pentagon, dodecagon, and quindecagon made up ? 4. If...

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...of the four angles at F) which is 22° 30', being the fourth part of a right angle or 90". Then, as the three interior angles of every triangle are together equal to two right angles or 180°, the angles FAB, FBA, must be together equal to 180°— 22° 30', or 157° 30', and as these...




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