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Page 24
... part . 6. In an isosceles triangle ABC , prove that the straight line AD , which bisects the vertical angle a , also bisects the base BC , and is perpendicular to it . JOSHUA , AND JUDGES I. - XVIII . 1. Give 24 EUCLID . B.
... part . 6. In an isosceles triangle ABC , prove that the straight line AD , which bisects the vertical angle a , also bisects the base BC , and is perpendicular to it . JOSHUA , AND JUDGES I. - XVIII . 1. Give 24 EUCLID . B.
Page 34
... as AC , making the angle BCY equal to the angle CBA , and cutting BA produced , or BA itself , in Y. Join XY , and then prove the triangle XYB to be equal to the triangle XYC . JOSHUA , AND JUDGES I. - XVIII . 1. Tell 34 EUCLID . C.
... as AC , making the angle BCY equal to the angle CBA , and cutting BA produced , or BA itself , in Y. Join XY , and then prove the triangle XYB to be equal to the triangle XYC . JOSHUA , AND JUDGES I. - XVIII . 1. Tell 34 EUCLID . C.
Page 44
... Prove that twice the bisector of the base of a triangle , drawn from the opposite vertex , together with the base , is greater than the sum of the other two sides . 1 SAMUEL . 1. What was the sin of Eli 44 EUCLID . D.
... Prove that twice the bisector of the base of a triangle , drawn from the opposite vertex , together with the base , is greater than the sum of the other two sides . 1 SAMUEL . 1. What was the sin of Eli 44 EUCLID . D.
Page 53
... Prove that ( n exactly divisible by 3n . 7. Šolve the equations : ( i . ) 4 ( 3x - 2 ) -5 ( 4x - 5 ) = 17-3 ( 3x - 2 ) . ( ii . ) T 7x 10 = ( 115 ) 1 % ( x + 10 ) — 241 . 15 - 8. A farmer has 45 oxen worth £ 490 ; they are of two kinds ...
... Prove that ( n exactly divisible by 3n . 7. Šolve the equations : ( i . ) 4 ( 3x - 2 ) -5 ( 4x - 5 ) = 17-3 ( 3x - 2 ) . ( ii . ) T 7x 10 = ( 115 ) 1 % ( x + 10 ) — 241 . 15 - 8. A farmer has 45 oxen worth £ 490 ; they are of two kinds ...
Page 54
... the line . 6. The straight line AE bisecting the exterior angle CAD of the triangle ABC is parallel to the base BC . Prove that the triangle ABC is isosceles . 1 SAMUEL . 1. Mention briefly , in their order 54 EUCLID . E.
... the line . 6. The straight line AE bisecting the exterior angle CAD of the triangle ABC is parallel to the base BC . Prove that the triangle ABC is isosceles . 1 SAMUEL . 1. Mention briefly , in their order 54 EUCLID . E.
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a²b adjectives adverbs Bethphage Book of Kings chief connection countries Daily Exercises Decline Define deponent verb Distinguish England Explain the following Express Extract the square Find the G.C.M. Find the number Find the value following places following sentences French gender geographical Give a short Give an account Give examples Give the English Give the feminine Give the past Give the plural given straight line Gospel Henry VII History inflexions isosceles triangle Jerubbaal king Latin Lessons line be divided Loch Awe Loch Maree LORD Matthew Mention Multiply names Narrate nouns parable parallelogram past participle past tense person singular plural prepositions present indicative Price 18 pronouns rectangle contained reign right angle rivers Sadducees Samaria short account sides Simplify singular and plural Solve the equations square root subjunctive tense and past THREE-HOUR PAPER vulgar fractions yard
Popular passages
Page 24 - If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz.
Page 38 - I see before me the gladiator lie : He leans upon his hand ; his manly brow Consents to death, but conquers agony, And his drooped head sinks gradually low ; And through his side the last drops, ebbing slow From the red gash, fall heavy, one by one, Like the first of a thunder-shower ; and now The arena swims around him ; he is gone, Ere ceased the inhuman shout which hailed the wretch who won.
Page 56 - Parallelograms on the same base and between the same parallels are equal to one another.
Page 98 - IF a side of any triangle be produced, the exterior angle is equal to the two interior and opposite angles ; and the three interior angles of every triangle are equal to two right angles.
Page 34 - Any two sides of a triangle are together greater than the third side.
Page 26 - And he said, So is the kingdom of God, as if a man should cast seed into the ground; and should sleep, and rise night and day, and the seed should spring and grow up, he knoweth not how. For the earth bringeth forth fruit of herself; first the blade, then the ear, after that the full corn in the ear.
Page 100 - That it might be fulfilled which was spoken by the prophet, saying, I will open my mouth in parables ; I will utter things which have been kept secret from the foundation of the world.
Page 142 - Withhold not good from them to whom it is due, When it is in the power of thine hand to do it. Say not unto thy neighbour, Go, and come again, And to-morrow I will give: When thou hast it by thee.
Page 128 - IN a right-angled triangle, if a perpendicular be drawn from the right angle to the base, the triangles on each side of it are similar to the whole triangle, and to one another.
Page 18 - And if my standard-bearer fall, as fall full well he may, For never saw I promise yet of such a bloody fray, Press where ye see my white plume shine, amidst the ranks of war, And be your oriflamme today the helmet of Navarre.