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" The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it the angles CBA, ABD ; these are either two right... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Σελίδα 19
των John Playfair - 1837 - 318 σελίδες
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Report of the Committee of Council on Education (England and Wales ..., Τεύχος 2

Great Britain. Council on Education - 1848 - 596 σελίδες
...equilateral triangle. Prove that the angles, which one straight line makes with another upon one side of it are either two right angles, or are together equal to two right angles. 2. The angles at the base of an isosceles triangle are equal to each other. 3. Define parallel straight...

Solutions to the questions of the general examination at Easter, 1848 ...

J. Goodall, W. Hammond - 1848 - 390 σελίδες
...equilateral triangle. Prove that the angles, which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. 2. The angles at the base of an isosceles triangle are equal to each other. 3. Define parallel straight...

Minutes ...: Correspondence, Financial Statements, Etc., and ..., Τόμος 2

Great Britain. Committee on Education - 1848 - 606 σελίδες
...equilateral triangle. Prove that the angles, which one straight line makes with another upon one side of it are either two right angles, or are together equal to two right angles. 2. The angles at the base of an isosceles triangle are equal to each other. 3. Define parallel straight...

The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - 52 σελίδες
...it. PROP. XIII. THEOREM. The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. PROP. XIV. THEOREM. If, at a point in a straight line, two other straight lines, upon the opposite...

The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 σελίδες
...done. PROP. XIII. THEOR. The angles which one straight line makes with another upon the one side of it, are either two right angles, or are together equal to two right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD; these are either two...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - 252 σελίδες
...PROPOSITION II. THEOREM. 77/o angles which one straight line makes with another, upon one side of it, are either two right angles, or are together equal to two right angles. if not, suppose the line BE to be drawn from the point B, perpendicular to CD; then will each of the...

Minutes of the Committee of Council on Education, Τόμος 1

Great Britain. Committee on Education - 1850 - 790 σελίδες
...formula. GEOMETRY. Secfion 1. 1. The angles which one right line makes with another upon one side of it are either two right angles, or are together equal to two right angles. 2. If one side of a triangle be produced, the exterior angle is greater than either of the two interior...

The English Journal of Education, Τόμος 4

1850 - 488 σελίδες
...GEOMETRY. SECTION I. 1. The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. 3. If two triangles have two sides of the one equal to two sides of the other, each to each, but the...

An Epitome of Navigation and Nautical Astronomy, with Improved Lunar Tables ...

Janet Taylor - 1851 - 674 σελίδες
...INTRODUCTION. THEOREMS. Theorem 1. [Euclid i. 13.] If one line falls on another the angles it makes with it are either two right angles, or are together equal to two right angles. Let AB meet the line DC, then the angles CDB CDA taken together are equal to two right angles. For...

Papers for the Schoolmaster, Τόμος 2

1852 - 316 σελίδες
...TEACHERSEUCLID PAPER, I. The angles which one straight line makes with another upon one side of it, are either two right angles, or are together equal to two right angles. II. In any right angled triangle, the square which is described upon the side subtending the right...




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