 | Euclides - 1864 - 448 pages
...other sides of the triangle have to one another : and converselg, if the segments of the base produced have the same ratio which the other sides of the triangle have ; the straight line drawn from the vertex to the point of section divides the outward angle of the... | |
 | Euclides - 1865 - 402 pages
...other sides of the triangle have to one another ; and conversely, if the segments of the base produced have the same ratio which the other sides of the triangle have ; the straight line drawn from the vertex to the point of section divides the outward angle of the... | |
 | Robert Potts - 1865 - 528 pages
...other sides of the triangle have to one another : and conversely, if the segments of the base produced have the same ratio which the other sides of the triangle have ; the straight line drawn from the vertex to the point of section divides the outward angle of the... | |
 | Civil service - 1866 - 270 pages
...also cuts 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 to one another. 7. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...a straight line &c. QED PROPOSITION 3. THEOREM. If the vertical angle of a triangle be bisected bi/ a straight line which also cuts the base, the segments...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... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...which also cuts the base produced, the segments between the dividing straight line and the extremities of the base shall have the same ratio which the other sides of the triangle have to one another; and if the segments of the base produced have the same ratio which the other sides of the triangle... | |
 | Robert Potts - 1868 - 434 pages
...line, &c. QED PROPOSITION III THEOREM. If the angle of a triangle be divided into ttto equal angles, by a straight line which also cuts the base ; the...the other sides of the triangle have to one another ; and conversely, if the segments of the base have the same ratio which the other sides of the triangle... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...Inscribe a circle in a given triangle. 4. If the angle of a triangle be divided into two equal angles by a straight line which also cuts the base, the segments...the other sides of the triangle have to one another ; and conversely, if the segments of the base have the same ratio which the other sides have to one... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...also cuts 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 to one another. 7. Equiangular parallelograms have to one another the ratio which is compounded of the ratios of their... | |
 | Cambridge univ, exam. papers - 1870 - 272 pages
...other, each to each, prove that the third side of the one is equal to the third side of the other. 4. 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... 
