Books Books 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 two straight lines BD. Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ... - Page 20
by Euclid - 1845 - 199 pages ## Glasgow University Calendar

University of Glasgow - 1883 - 438 pages
...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 ..., Volume 2

Joseph Hughes - Education - 1883 - 578 pages
...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, Volume 2

Education - 1883 - 658 pages
...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 - 176 pages
...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 - 214 pages
...opposite to 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...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 - 146 pages
...line MO, and 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...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,... ## Stewart's specific subjects. Euclid. [1st] (-3rd stage). [With 2 issues of ...

Stewart W. and co - 1884 - 272 pages
...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,...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 DC are less than... ## Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884 - 94 pages
...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... ## An introduction to geometry, consisting of Euclid's Elements, book ..., Volume 1

Euclides - 1884 - 182 pages
...greater than AB. Wherefore any two sides, &c. QED 59. PROPOSITION XXI. — THEOREM. 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 two sides of the triangle, but shall contain a greater angle. Let ABC be a triangle, and D a point... 