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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... "
First principles of Euclid: an introduction to the study of the first book ... - Σελίδα 66
των T S. Taylor - 1880
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The text of Euclid's geometry, book 1, uniformly and systematically arranged ...

Euclides - 1884 - 214 σελίδες
...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...

Relfe brothers' Euclid sheets, propositions 1-26, book 1

Euclides - 1884 - 94 σελίδες
...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...of 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 - 272 σελίδες
...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,...of the triangle, but shall 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,...

An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884 - 182 σελίδες
...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...

The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884 - 434 σελίδες
...semi-perimeter is less, than the sum of the three medians. PROPOSITION 21. THEOREM. If from the ends of any side of a triangle there be drawn two straight lines to a point within the triangle, these straight lines shall be together less than the other two sides of the triangle, but shall contain a...

The Practical Teacher, Τόμος 4

1885 - 630 σελίδες
...that there are several ways in which the line may be drawn. Prop. 2, Bk. I. 2. If from the ends of a side of a triangle there be drawn two straight lines...other two sides of the triangle, but shall contain я greater angle. Prop. 21, Bk. I. 3. Show that the vertex of an isosceles triangle and the intersections...

Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Τόμος 3

United States. Congress. Senate - 1880 - 1304 σελίδες
...Into how many parts is it possible, by mean« of Euclid's constructions, to divide a right angle t 'i- If from the ends of the side of a triangle there be...straight lines to a point within the triangle, these straight lines shall be less than the other two sides of thr triangle. A triangle and a quadrilateral,...

Annual Report of the Chief Superintendent of Education

1885 - 604 σελίδες
...(1) and (2) are not to be worked by male candidates. II. [15] GEOMETRY. Time, 1 luour 30 min. ]. It from the ends of the side of a triangle, there be...straight lines to a point within the triangle ; these will be together less than the other sides of the triangle, but will contain a greater angle. -. If...

Calendar of Dalhousie College and University

Dalhousie University - 1888 - 212 σελίδες
...proportion of 5 ; 4. Find their scores. GEOMETRY. (Exhibitions and Bursaries.} TIME : THREE HOURS. 1. If from the ends of the side of a triangle, there...of the triangle, but shall contain a greater angle. 2. Assuming the construction of the 47th proposition of the First Book of Euclid ; analyze the proof...

The Harpur Euclid: An Edition of Euclid's Elements

Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...two.thirds of the sum of the three diagonals AD, BE, CF. PROPOSITION 21. THEOREM. 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. From the ends B, C of the side BC of the A ABC let the two st. lines BD. CD be drawn to a point D within...




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