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 Βιβλία Βιβλία 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
Πλήρης προβολή - Σχετικά με αυτό το βιβλίο ## An introduction to geometry, consisting of Euclid's Elements, book ..., Τόμος 1

Euclides - 1884
...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
...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
...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... ## Annual Report of the Chief Superintendent of Education

1885
...(2) are not to be worked by male candidates. II.  GEOMETRY. Time, 1 luour 30 min. ]. It from the ends of the side of a triangle, there be drawn two...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... ## Senate Documents, Otherwise Publ. as Public Documents and Executive ..., Τόμος 3

...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 drawn two...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,... ## Calendar of Dalhousie College and University

Dalhousie University - 1888
...5 ; 4. Find their scores. GEOMETRY. (Exhibitions and Bursaries.} TIME : THREE HOURS. 1. If from the ends of the side of a triangle, there be drawn two...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 - 515 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... ## Report of the Secretary for Public Instruction ...

...Euc. I. 7 where the vertex of each triangle is without the other triangle. 3. If from the ends of a side of a triangle there be drawn two straight lines to a point within the triangle, these shall contain a greater angle than the angle contained by tht> other two sides of the triangle. 4. Give the... ## Rider Papers on Euclid: Books i and Ii, Graduated and Arranged in Order of ...

Rupert Deakin - 1891 - 79 σελίδες
...opposite it. 20. Any two sides of a triangle are together greater than the third side. 21. If from the ends of the side of a triangle there be drawn two...of the triangle, but shall contain a greater angle. 22. To make a triangle of which the sides shall be equal to three given straight lines, any two of... ## The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1892 - 518 σελίδες
...triangle, there be drawn (wo straight lines to a point within the triangle, then these straight lines shall be less than the other two sides of the triangle, but shall contain a greater angle. A BC Let ABC be a triangle, and from B, C, the ends of the side BC, let the two straight lines BD,...