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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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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...line of an unlimited length, from a given point without it. 3. If a side of any triangle he produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. 4. Equal triangles upon the same base and upon the same side of it, are between the same parallels....

Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - 1856 - 184 σελίδες
...these two triangles are not necessarily equal to one another. 4. 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. 5. If a straight line be divided into any two parts, the square of the whole line is equal to the squares...

Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...sides of a triangle are together greater than the third side. 4. If a 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. If two sides of any triangle be produced, the two exterior angles are together...

The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...FBC, DBC, that is. to two right angles. XIV.— EUCLID I. 32. If one side of a triangle be produced, the exterior angle is equal to the two interior and opposite angles; and the three angles of every triangle are together equal to two right angles. Let ABC (Fig. 9) be a triangle, and...

Considerations on the Suggestions of the University Commissioners with ...

Henry Latham - 1857 - 59 σελίδες
...sum of the other sides, and the vertical angle are given. 2. 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. At what angles are the sides of a regular duodecagon inclined to each other? 3. If a straight line...

The English Journal of Education, Τόμοι 11-13

1857 - 1266 σελίδες
...EUCLID. FIRST YEAR. SECTION I. — 1. The angles at the base of an isosceles triangle arc equal. 2. The three interior angles of every triangle are together equal to two right angles. 3. To a given straight line apply a rectangle equal to a given rectilineal figure. SECTION II. —...

The Pupil-teacher: A Monthly Journal of Practical Educational ..., Τόμος 3

1857 - 380 σελίδες
...and prove that the line so drawn bisects the other side. 5. If a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles. If the triangle is equilateral, what is the relation between the exterior angle and the adjacent interior...

Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 σελίδες
...be equidistant from the two extremities of the finite line ? 2. If a side of a triangle be produced, the exterior angle is equal to the two interior and...every triangle are together equal to two right angles. State Euclid's corollaries to this proposition. VOLUNTARY PORTION. 1. Given the centre of the circle...

Gradations in Euclid : books i. and ii., with an explanatory preface [&c ...

Euclides - 1858
...P. 4. Cor. P. 15. PROP. 32. — THEOR. — (Very Important.) 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. CONSTRUCTION. — P. 31. To draw a st. line, through a fjiven point, parallel to a given st. line....

Report of Her Majesty's Civil Service Commissioners: Together with ..., Τόμος 3

1858
...triangle, but shall contain a greater angle. 3. PJSOP. XXXII.— 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. 4. Enunciate and prove the corollaries of the last proposition. 5. PUOP. XLIV. — To a given straight...




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