 | University of Toronto - 1900 - 1164 pagina’s
...given triangle. About a given circle descube a quadrilateral equiangular to a given quadrilateral. 3. If the vertical angle of a triangle be bisected by...the other sides of the triangle have to one another. Prove also the converse of this. 4. To find a mean proportional between two given straight lines. Give... | |
 | Eldred John Brooksmith - 1901 - 368 pagina’s
...the circumference of a circle whose centre is O. 9. Inscribe an equilateral and equiangular pentagon in a given circle. 10. If the vertical angle of a...the other sides of the triangle have to one another, and if the segments of the base have the same ratio which the other sides of the triangle have to one... | |
 | University of Sydney - 1902 - 640 pagina’s
...given rectilineal angle. 5. Describe an equilateral and equiangular pentagon about a given circle. 6. If the vertical angle of a triangle be bisected by...the other sides of the triangle have to one another ; and, conversely, if the segments of the base have the same ratio as the sides of the triangle, the... | |
 | Olaus Henrici, George Charles Turner - 1903 - 236 pagina’s
...line cutting the base produced, the segments between the dividing line and the extremities of the base have the same ratio which the other sides of the triangle have. (21) The three bisectors of the angles of a triangle meet in a point. COORDINATES. 46. We saw in §... | |
 | University of Calcutta - 1908 - 562 pagina’s
...regular pentagon in a circle. 5 11. If the vertical angle of a triangle be bisected by a straight 4 line which also cuts the base, the segments of the...the other sides of the triangle have to one another. ABC is a triangle right-angled at A ; AX, AY are equally 5 inclined to AB, and meet BC or BC produced... | |
 | Alberta. Department of Education - 1911 - 226 pagina’s
...straight line which also cuts the base produced, the segments between the bisector and the extremities of the base shall have the same ratio which the other sides of the triangle have to one another. VI— A. 8 14. State and prove the converse of the theorem in number 13. 9 15. P is any point on the... | |
 | W. D. Hills - 1925 - 278 pagina’s
...DH. Then the CG of the rods lies on this line. Also, since the segments of the base of this triangle have the same ratio which the other sides of the triangle have to one another ; then DH bisects the angle FDE.1 In the same way it may be shown that the CG lies on the line bisecting... | |
 | James Clerk Maxwell - 1990 - 836 pagina’s
...is within the circle. Therefore draw (8) Book VI, Prop. Ill of Euclid's Elements : (Theorem) 'If the angle of a triangle be bisected by a straight line...the other sides of the triangle have to one another : And if the segments of the base have the same ratio which the other sides of the triangle have to... | |
 | 1900 - 812 pagina’s
...college, and had himself begun to teach this very proposition to others. Let us recall this proposition. " If the vertical angle of a triangle be bisected by...other sides of the triangle have to one another." " In proving this proposition," he continued, " 1 used invariably to draw a figure like this, in Fig.... | |
 | Oxford univ, exam. papers, 2nd publ. exam - 1884 - 594 pagina’s
...multiple of another ? Define proportion, and explain the terms — permntando, componendo, ex tpq 7. If the vertical angle of a triangle be bisected by...the other sides of the triangle have to one another; and if the segments of the base have the same ratio which the other sides of the triangle have to one... | |
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If the angle of a triangle be bisected by a straight line which also cuts the base ; the segments of the base shall have the... 
