Search Images Maps Play YouTube News Gmail Drive More »
Sign in
 Books Books
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, containing the first two (third and fourth) books of ... - Page 52
by Euclides - 1871
Full view - About this book

The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...three interior angles oj every triangle are together equal to two right angles. Let ABC be a triangle, and let one of its sides BC be produced to D. Then the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC. And the three interior...
Full view - About this book

Manual of Method for the use of teachers in elementary schools

W. F. RICHARDS - Education, Primary - 1856 - 184 pages
...opposite to equal sides, show that these two triangles are not necessarily equal to one another. 4. If a side of any triangle be produced, the exterior...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...
Full view - About this book

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

...into two equal angles. 2. Any two sides of a triangle are together greater than the third side. 4. If a side of any triangle be produced, the exterior...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...
Full view - About this book

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

Euclides - 1856
...together equal to the two 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...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...
Full view - About this book

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

John Playfair - Euclid's Elements - 1856 - 318 pages
...given point A parallel to the given straight line BC. PROP. XXXII. THEOR. If a side of any triangle oe produced, the exterior angle is equal to the two interior and opposite angles ; andlthe three interior angles of every triangle are equal to two right i Let ABC be a triangle, and...
Full view - About this book

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

Henry Latham - 1857 - 59 pages
...Construct a triangle of which the base, the sum of the other sides, and the vertical angle are given. 2. If a side of any triangle be produced, the exterior...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...
Full view - About this book

The English Journal of Education, Volumes 11-13

Education - 1857
...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. —...
Full view - About this book

Parliamentary Papers, Volume 25

...less than the other two sides of the triangle, but shall contain a greater angle. 3. PKOP. XXXII.— If a side of any triangle be produced, the exterior...every triangle are together equal to two right angles. 4. Enunciate and prove the corollaries of the last proposition. 5. PROP. XLIV. — To a given straight...
Full view - About this book

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

Euclides - 1858
...Def. 35, C. 6 Conel. 1 C.3&2, P.29 2 3 P. 4. Cor. P. 15. PROP. 32. — THEOR. — (Very Important.) If a side of any triangle be produced, the exterior...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....
Full view - About this book

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

1858
...less than the other two sides of the triangle, but shall contain a greater angle. 3. PJSOP. XXXII.— If a side of any triangle be produced, the exterior...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...
Full view - About this book