Harvard Examination PapersGinn and Heath, 1877 - 343 páginas |
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Página 158
... c ) 2 . - - 2. State and prove the rule for the sign of a power and of a root . How do imaginary quantities arise ? 2 3. What is denoted by a ° ? by a - 3 ? by a3 ? 4. Reduce 1 XC 1 XC --- Ꮳ 1 x 158 EXAMINATION PAPERS .
... c ) 2 . - - 2. State and prove the rule for the sign of a power and of a root . How do imaginary quantities arise ? 2 3. What is denoted by a ° ? by a - 3 ? by a3 ? 4. Reduce 1 XC 1 XC --- Ꮳ 1 x 158 EXAMINATION PAPERS .
Página 159
... prove b that the product of the roots = - α 6. There are seven numbers in Arithmetical Progression such that the sum of the 1st and 5th is 16 , and the product of the 4th and 7th is 160 . question admits two solutions . Find the numbers ...
... prove b that the product of the roots = - α 6. There are seven numbers in Arithmetical Progression such that the sum of the 1st and 5th is 16 , and the product of the 4th and 7th is 160 . question admits two solutions . Find the numbers ...
Página 160
... Prove that the sum of any number of antecedents of a continued proportion is to the sum of the corresponding consequents as any one antecedent is to its consequent . 7. Find the greatest common divisor of 275 + 3x3 · 102 and 162.5 32x ...
... Prove that the sum of any number of antecedents of a continued proportion is to the sum of the corresponding consequents as any one antecedent is to its consequent . 7. Find the greatest common divisor of 275 + 3x3 · 102 and 162.5 32x ...
Página 161
... the answers imaginary ? How must a given number be divided in order that the product of its parts shall be as great as possible ? 8. State and prove the Rule of Three . PLANE GEOMETRY . I. 1. DEFINE a Surface , a ADVANCED ALGEBRA . 161.
... the answers imaginary ? How must a given number be divided in order that the product of its parts shall be as great as possible ? 8. State and prove the Rule of Three . PLANE GEOMETRY . I. 1. DEFINE a Surface , a ADVANCED ALGEBRA . 161.
Página 162
... Prove that if two angles of a triangle are equal , the sides opposite these angles are also equal . 3. How many degrees in each interior angle of a regular decagon ? State and prove the proposition which enables you to answer this ...
... Prove that if two angles of a triangle are equal , the sides opposite these angles are also equal . 3. How many degrees in each interior angle of a regular decagon ? State and prove the proposition which enables you to answer this ...
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Términos y frases comunes
Acatalectic accent Active Adjective adverbs angle Aorist atque Binomial Theorem Cæsar cent Cicero circle Compare construction cosine Crasis cube root Dative decimals Decline Dipody Divide English equal Explain feet formulas fraction Genitive Give a synopsis Give an example Give the principal Give the rules given Grammar Greatest Common Divisor Greek Iambic Trimeter Infinitive Inflect Julius Cæsar Latin Least Common Least Common Multiple logarithms lowest terms marking the quantity mood Multiply Name nouns Optative Ovid participle Passive penults perpendicular plane plural polygons Prove quæ quam quod Reduce rivers SALLUST Second Aorist sides simplest form sine Singular Solve the equation SOPHOMORE QUESTIONS Subjunctive tangent tense Translate triangle verbs Vulgar Fraction words Write ἂν γὰρ δὲ εἰ ἐν ἔφη καὶ μὲν μὴ οἱ ὅτι οὐ οὐκ τὰ τε τὴν τὸ τὸν τοὺς τοῦτο τῷ τῶν ὡς
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