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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 shall either be... "
Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ... - الصفحة 15
بواسطة Euclides - 1845
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848 - عدد الصفحات: 52
...length, from a given point without 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...

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

Great Britain. Committee on Education - 1848 - عدد الصفحات: 606
...isosceles triangle, and an 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 - عدد الصفحات: 390
...triangle, and and an 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...

Report of the Committee of Council on Education (England and Wales ..., العدد 2

Great Britain. Council on Education - 1848 - عدد الصفحات: 596
...isosceles triangle, and an 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...

Elements of Geometry and Conic Sections

Elias Loomis - 1849 - عدد الصفحات: 252
...is equal to the angle EGH, 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...

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

Euclid, Thomas Tate - 1849 - عدد الصفحات: 120
...right angles. Let the straight line AB make with CD, upon one side of it, the angles CBA, ABD; these are either two right angles, or are together equal to two right angles. For, if the angle CBA be equal to ABD, each of them is a right (Def. 10.) angle; but, if not, from...

The English Journal of Education, المجلد 4

1850 - عدد الصفحات: 488
...position, the Order of Jesuits. 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...

Minutes of the Committee of Council on Education, المجلد 1

Great Britain. Committee on Education - 1850 - عدد الصفحات: 790
...Investigate the prismoidal 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...

Papers for the Schoolmaster, المجلد 2

1852 - عدد الصفحات: 316
...EXAMINATION PAPER FOR PUPIL 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...

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

Janet Taylor - 1851 - عدد الصفحات: 674
...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 let...




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