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" If, from the ends of the side of a triangle, there be drawn two straight lines to a point within the triangle, these shall be less than, the other two sides of the triangle, but shall contain a greater angle. Let... "
The first six books of the Elements of Euclid, with numerous exercises - Seite 15
von Euclides - 1853 - 147 Seiten
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Class lessons on Euclid

Marianne Nops - 1882
...other pairs of sides. I. 21. We pass to Prop. XXI., the last of this group of theorems. If from the ends of the side of a triangle there be drawn two straight lines to a point within it, these will be less than the other sides of the triangle, but will contain a greater angle. Let...
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Twelve years' Queen's scholarship questions

Education Ministry of - 1882
...proposition in Euclid is the converse of this ? 2. If from the ends of one side of a triangle there bo drawn two straight lines to a point within the triangle, these shall be together less than the other two sides, but shall contain a greater angle. 3. The opposite sides and...
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Glasgow University Calendar

University of Glasgow - 1883
...triangle be equal, the sides which subtend the equal angles shall also be equal. 2. If from the ends of a side of a triangle there be drawn two straight lines...of the triangle but shall contain a greater angle. 3. If a straight line be divided into two equal, and also into two unequal parts, the rectangle contained...
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The Practical Teacher; with which is Incorporated the Practical ..., Band 2

Joseph Hughes - 1883
...the greater side, or has the greater side opposite to r. Prop. 19, Bk. I. 3. If from the ends of a side of a triangle there be drawn two straight lines...within the triangle ; these shall be less than the oiher two sides of the triangle, but shall contain a greater angje. Prop. 21, Bk. I. Needlework. FEMALES....
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The Practical Teacher, Band 2

1883
...3- If from the ends of a side of the triangle FGH there be drawn t wo straight lines to the point К within the triangle, these shall be less than the...of the triangle, but shall contain a greater angle. Prop. 21, Bk. I. Needlework. FEMALES. One hour allowed for this Exerçât. THIRD YEAR. Pupil Teachers...
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Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 Seiten
...the middle point of the base. This line is called a median. PROP. 21. THEOR. If from the ends of one side of a triangle there be drawn two straight lines to a point within the triangle, these two lines shall be less than the two sides of the triangle, but shall contain a greater angle. Given...
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884
...it. Axiom 2. If equals be added to equals the wholes are equal. PROPOSITION XXI. THEOREM. If from the ends of the side of a triangle there be drawn two...of the triangle, but shall contain a greater angle. In the triangle ABC ; GIVEN that D is a point within it, and BD and DC are joined ; IT is REQUIRED...
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Stewart's guide-book to the queen's scholarship and certificate examinations ...

Stewart W. and co - 1884
...therefore the angle NOM shall coincide with angle KMO, and is therefore equal to it. QED If from the ends of the side of a triangle there be drawn two...of the triangle, but shall contain a greater angle. Write out the enunciations of any previous propositions employed in this proof. See Euclid, Prop. 21,...
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Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884
...1—26, BOOK I, ARE NOW PUBLISHED IN A SIMILAR FORM TO THIS. PROPOSITION XXL If from the ends of a side of a triangle, there be drawn two straight lines...the triangle, but shall contain a greater angle. Let be a triangle, and from the points , , the ends of the side , let the two straight lines , be drawn...
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Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884
...than CA ; and BC, CA, greater than AB. XXI. — If from the ends of the side of a triangle, there lie drawn two straight lines to a point within the triangle,...contain a greater angle. Let the two straight lines BD, CD, be drawn from B,C, the ends of the side BC of the triangle ABC, to the point D within it; BD and...
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