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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 - Σελίδα 15
των Euclides - 1853 - 147 σελίδες
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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...

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...

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...

The Practical Teacher; with which is Incorporated the Practical ..., Τόμος 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....

The Practical Teacher, Τόμος 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...

Geometry for schools, comprising books i. and ii. of Euclid, with some ...

Euclides - 1883 - 96 σελίδες
...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...

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...

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,...

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...

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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